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Paper Citation Record · LEDGER

SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry

As of 8 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 2026-08-08T06:32:00.761636+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=sha256:0bc7592572d04fd422313bd244d4e4410e0d4a8e0c44ce118e4512239bbd2782

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:e3b6de98600542e0bfb59d8b440a0eed6d296e1ffb98a39737ea162bc654e624

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T18:16:25.372627Z digest=sha256:171bde2a0bbbd0121c4122bab5c747e4b89ee91ec70755540b0e244331d6f8fc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T15:29:15.710556Z digest=sha256:180163acd8b47f1115c9054abc8f9f5ea797a2b14ca4505dae157d465f28abf3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-21T06:05:45.046156Z digest=sha256:daf9f8de524db4c8859927535b5265200f03dd9de97deab1d79ea0e2ef33eb40

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-06-28T06:18:38.325353Z digest=sha256:cfe4b969bd24accc74c4b8dc978a3d853d1c2693339d1ecce0bbbd7253525323