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Paper Citation Record · LEDGER

SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2505.21177.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.21177 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:29:14.367560Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T08:16:47.395706Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation fd97cdbd-84ef-44a5-8e05-c975d9995c0a · inbound

StructVRM: Aligning Multimodal Reasoning with Structured and Verifiable Reward Models cites this paper.

StructVRM: Aligning Multimodal Reasoning with Structured and Verifiable Reward Models SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-05T23:29:14.367560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T23:29:14.367560Z digest=sha256:8e3ffbb89996503b7da64ab892a41e68748402a1b1c11f182331757bd9524a78

Observation 6f7b28e3-7012-4b70-9357-a421b5ee5a68 · inbound

An Explainable Machine Learning Framework for Railway Predictive Maintenance using Data Streams from the Metro Operator of Portugal cites this paper.

An Explainable Machine Learning Framework for Railway Predictive Maintenance using Data Streams from the Metro Operator of Portugal SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-05T23:25:48.173194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T23:25:48.173194Z digest=sha256:2262d9fd1b066df1a7f0d6fcb2a39accaa4f831070aab80a438b074fca0a921e

Observation 200769d3-c90d-407e-980f-acb860498e64 · inbound

How RL Unlocks the Aha Moment in Geometric Interleaved Reasoning cites this paper.

How RL Unlocks the Aha Moment in Geometric Interleaved Reasoning SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry

Reference 71

Resolution
verified exact
arxiv_id, observed 2026-05-15T18:20:14.378402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-15T18:16:25.372627Z digest=sha256:925838f97dc7eae2d2c83fdb62e33f8a67d97ae6fe87a591d203175970b4a0b0

Observation d418214a-6e98-468d-8ff5-f25a058335c9 · inbound

Geoparsing: Diagram Parsing for Plane and Solid Geometry with a Unified Formal Language cites this paper.

Geoparsing: Diagram Parsing for Plane and Solid Geometry with a Unified Formal Language SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry

Reference 3

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T10:26:02.308133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T15:29:15.710556Z digest=sha256:1bbaf1aa4f70691c43c6dc57041f5981d453157d65dbd401684d1805b38d74b2

Observation 8c6c4acb-db21-448f-91d9-e6002629a435 · inbound

Draw2Think: Harnessing Geometry Reasoning through Constraint Engine Interaction cites this paper.

Draw2Think: Harnessing Geometry Reasoning through Constraint Engine Interaction SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry

Reference 50

Resolution
verified exact
arxiv_id, observed 2026-05-21T06:09:41.554793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T06:05:45.046156Z digest=sha256:23542fb6ea8850d89708ba109059cbe9299f629ba4e0701ae1dee4a1ec3c456a

Observation 1f20265d-3298-4d69-b368-8e9762e6921d · inbound

BiNSGPS: Geometry Problem Solving via Bidirectional Neuro-Symbolic Interaction cites this paper.

BiNSGPS: Geometry Problem Solving via Bidirectional Neuro-Symbolic Interaction SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry

Reference 10

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T08:16:47.397167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-06-28T06:18:38.325353Z digest=sha256:458623f6a623f77557855289d586ebb5cd67345c25584e8a02a718047d7ba867