{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:VVPU6LWIGGJSN56M2VVZ2FUNWB","short_pith_number":"pith:VVPU6LWI","schema_version":"1.0","canonical_sha256":"ad5f4f2ec8319326f7ccd56b9d168db064d30fe0c56eb8292df689e2df3fa98e","source":{"kind":"arxiv","id":"2505.21177","version":2},"attestation_state":"computed","paper":{"title":"SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Chao Yang, Cheng-Lin Liu, Dekang Ran, Fei Yin, Jinfeng Bai, Mi Tian, Peijie Wang, Zhilong Ji, Zhong-Zhi Li","submitted_at":"2025-05-27T13:29:08Z","abstract_excerpt":"Geometry is a fundamental branch of mathematics and plays a crucial role in evaluating the reasoning capabilities of multimodal large language models (MLLMs). However, existing multimodal mathematics benchmarks mainly focus on plane geometry and largely ignore solid geometry, which requires spatial reasoning and is more challenging than plane geometry. To address this critical gap, we introduce SolidGeo, the first large-scale benchmark specifically designed to evaluate the performance of MLLMs on mathematical reasoning tasks in solid geometry. SolidGeo consists of 3,113 real-world K-12 and com"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2505.21177","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2025-05-27T13:29:08Z","cross_cats_sorted":[],"title_canon_sha256":"6925839147249754d0a79fcc06927538305562a0347f2ae9746db3a5ff57bb80","abstract_canon_sha256":"d534940febcb9795e92ef897b5bb79fe934dac88c714fe2b98f9e9dbbaf1fa41"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:18:22.513607Z","signature_b64":"j+uvccLKSmr/FYonJ9OtMPPsImpSWPlydW+W5xrQaO4Ef7J4/1v9Y4Anu9lWJKeSuaW119AyyejZLKPDeaGQCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad5f4f2ec8319326f7ccd56b9d168db064d30fe0c56eb8292df689e2df3fa98e","last_reissued_at":"2026-07-05T11:18:22.513077Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:18:22.513077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"SOLIDGEO: Measuring Multimodal Spatial Math Reasoning in Solid Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Chao Yang, Cheng-Lin Liu, Dekang Ran, Fei Yin, Jinfeng Bai, Mi Tian, Peijie Wang, Zhilong Ji, Zhong-Zhi Li","submitted_at":"2025-05-27T13:29:08Z","abstract_excerpt":"Geometry is a fundamental branch of mathematics and plays a crucial role in evaluating the reasoning capabilities of multimodal large language models (MLLMs). However, existing multimodal mathematics benchmarks mainly focus on plane geometry and largely ignore solid geometry, which requires spatial reasoning and is more challenging than plane geometry. To address this critical gap, we introduce SolidGeo, the first large-scale benchmark specifically designed to evaluate the performance of MLLMs on mathematical reasoning tasks in solid geometry. SolidGeo consists of 3,113 real-world K-12 and com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.21177","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.21177/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2505.21177","created_at":"2026-07-05T11:18:22.513139+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.21177v2","created_at":"2026-07-05T11:18:22.513139+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.21177","created_at":"2026-07-05T11:18:22.513139+00:00"},{"alias_kind":"pith_short_12","alias_value":"VVPU6LWIGGJS","created_at":"2026-07-05T11:18:22.513139+00:00"},{"alias_kind":"pith_short_16","alias_value":"VVPU6LWIGGJSN56M","created_at":"2026-07-05T11:18:22.513139+00:00"},{"alias_kind":"pith_short_8","alias_value":"VVPU6LWI","created_at":"2026-07-05T11:18:22.513139+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.04648","citing_title":"BiNSGPS: Geometry Problem Solving via Bidirectional Neuro-Symbolic Interaction","ref_index":10,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20743","citing_title":"Draw2Think: Harnessing Geometry Reasoning through Constraint Engine Interaction","ref_index":50,"is_internal_anchor":false},{"citing_arxiv_id":"2603.01070","citing_title":"How RL Unlocks the Aha Moment in Geometric Interleaved Reasoning","ref_index":71,"is_internal_anchor":false},{"citing_arxiv_id":"2604.11600","citing_title":"Geoparsing: Diagram Parsing for Plane and Solid Geometry with a Unified Formal Language","ref_index":3,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VVPU6LWIGGJSN56M2VVZ2FUNWB","json":"https://pith.science/pith/VVPU6LWIGGJSN56M2VVZ2FUNWB.json","graph_json":"https://pith.science/api/pith-number/VVPU6LWIGGJSN56M2VVZ2FUNWB/graph.json","events_json":"https://pith.science/api/pith-number/VVPU6LWIGGJSN56M2VVZ2FUNWB/events.json","paper":"https://pith.science/paper/VVPU6LWI"},"agent_actions":{"view_html":"https://pith.science/pith/VVPU6LWIGGJSN56M2VVZ2FUNWB","download_json":"https://pith.science/pith/VVPU6LWIGGJSN56M2VVZ2FUNWB.json","view_paper":"https://pith.science/paper/VVPU6LWI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.21177&json=true","fetch_graph":"https://pith.science/api/pith-number/VVPU6LWIGGJSN56M2VVZ2FUNWB/graph.json","fetch_events":"https://pith.science/api/pith-number/VVPU6LWIGGJSN56M2VVZ2FUNWB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VVPU6LWIGGJSN56M2VVZ2FUNWB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VVPU6LWIGGJSN56M2VVZ2FUNWB/action/storage_attestation","attest_author":"https://pith.science/pith/VVPU6LWIGGJSN56M2VVZ2FUNWB/action/author_attestation","sign_citation":"https://pith.science/pith/VVPU6LWIGGJSN56M2VVZ2FUNWB/action/citation_signature","submit_replication":"https://pith.science/pith/VVPU6LWIGGJSN56M2VVZ2FUNWB/action/replication_record"}},"created_at":"2026-07-05T11:18:22.513139+00:00","updated_at":"2026-07-05T11:18:22.513139+00:00"}