Triple

T21610208
Position Surface form Disambiguated ID Type / Status
Subject Jakob Steiner E533284 entity
Predicate notableWork P4 FINISHED
Object Steiner chain
Steiner chain is a configuration in geometry consisting of a sequence of circles each tangent to two given non-intersecting circles and to its neighboring circles in the chain.
E1493312 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Steiner chain | Statement: [Jakob Steiner, notableWork, Steiner chain]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Steiner chain
Context triple: [Jakob Steiner, notableWork, Steiner chain]
  • A. Tusi couple
    The Tusi couple is a geometric device from medieval Islamic astronomy that generates linear motion from the sum of two circular motions, later influencing Copernican models of planetary motion.
  • B. Soddy circle
    A Soddy circle is one of the circles in a configuration of four mutually tangent circles, central to the geometric problem described by Descartes' circle theorem.
  • C. Poncelet polygon
    A Poncelet polygon is a cyclic polygon that can be simultaneously inscribed in one conic and circumscribed about another, illustrating Poncelet’s porism in projective geometry.
  • D. Miquel circle
    The Miquel circle is a notable circle in geometry that passes through the three points where the circumcircles of the triangles formed by choosing three vertices of a quadrilateral intersect.
  • E. Rowland circle geometry
    Rowland circle geometry is an optical configuration used in spectrometers where a concave diffraction grating and its focal curve lie on a common circle to achieve high-resolution wavelength dispersion.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Steiner chain
Triple: [Jakob Steiner, notableWork, Steiner chain]
Generated description
Steiner chain is a configuration in geometry consisting of a sequence of circles each tangent to two given non-intersecting circles and to its neighboring circles in the chain.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Steiner chain
Target entity description: Steiner chain is a configuration in geometry consisting of a sequence of circles each tangent to two given non-intersecting circles and to its neighboring circles in the chain.
  • A. Tusi couple
    The Tusi couple is a geometric device from medieval Islamic astronomy that generates linear motion from the sum of two circular motions, later influencing Copernican models of planetary motion.
  • B. Soddy circle
    A Soddy circle is one of the circles in a configuration of four mutually tangent circles, central to the geometric problem described by Descartes' circle theorem.
  • C. Poncelet polygon
    A Poncelet polygon is a cyclic polygon that can be simultaneously inscribed in one conic and circumscribed about another, illustrating Poncelet’s porism in projective geometry.
  • D. Miquel circle
    The Miquel circle is a notable circle in geometry that passes through the three points where the circumcircles of the triangles formed by choosing three vertices of a quadrilateral intersect.
  • E. Rowland circle geometry
    Rowland circle geometry is an optical configuration used in spectrometers where a concave diffraction grating and its focal curve lie on a common circle to achieve high-resolution wavelength dispersion.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69e0c46411108190bba0d4176dffc9f3 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69ef17e7d1388190922a90cb91ec9fc4 completed April 27, 2026, 8:01 a.m.
NED1 Entity disambiguation (via context triple) batch_6a09fd3d0d9881909d04a901cf65c211 completed May 17, 2026, 5:39 p.m.
NEDg Description generation batch_6a0a0c1bb6188190966c2db0f61048f7 completed May 17, 2026, 6:42 p.m.
NED2 Entity disambiguation (via description) batch_6a0a0cb1b9d08190aa0edccd5a49b289 completed May 17, 2026, 6:45 p.m.
Created at: April 16, 2026, 6:33 p.m.