Triple

T36870525
Position Surface form Disambiguated ID Type / Status
Subject 4-sphere S^4 E911210 entity
Predicate isSimplyConnectedAtInfinity P186733 FINISHED
Object true LITERAL FINISHED

How this triple was built (2 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: true | Statement: [4-sphere S^4, isSimplyConnectedAtInfinity, true]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isSimplyConnectedAtInfinity
Context triple: [4-sphere S^4, isSimplyConnectedAtInfinity, true]
  • A. isSimplyConnected
    Indicates that a topological space has no "holes," meaning every loop within it can be continuously contracted to a single point.
  • B. isNotSimplyConnectedCompactly
    Indicates that the entity has a topological structure that is compact but not simply connected, meaning it is bounded and closed yet contains nontrivial loops that cannot be continuously contracted to a point.
  • C. isHolomorphicallyContractible
    Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
  • D. isSimplyConnectedHomologySphere
    Indicates that a topological space is both simply connected (every loop can be contracted to a point) and has the same homology groups as a sphere.
  • E. isGeodesicallyComplete
    Indicates that every geodesic in the given space can be extended indefinitely in both directions without leaving the space.
  • F. None of above. chosen

Provenance (4 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_69f76e80f6f0819091cba8e19b269615 completed May 3, 2026, 3:49 p.m.
NER Named-entity recognition batch_69fa0a7b00948190a257273d9968c5d7 completed May 5, 2026, 3:19 p.m.
PD Predicate disambiguation batch_69f9fec9c9488190ae2a349651a02782 completed May 5, 2026, 2:29 p.m.
PDg Predicate description generation batch_69fa0a799b9081909bfa8293a22c4b00 completed May 5, 2026, 3:19 p.m.
Created at: May 3, 2026, 4:13 p.m.