{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:KACESA5HZCNT4WH6FDSRRTKQPM","short_pith_number":"pith:KACESA5H","schema_version":"1.0","canonical_sha256":"50044903a7c89b3e58fe28e518cd507b0d64d76bcad52f8186ec07d3b435f411","source":{"kind":"arxiv","id":"1009.2970","version":1},"attestation_state":"computed","paper":{"title":"Cyclic polygons in classical geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Nilg\\\"un S\\\"onmez, Ren Guo","submitted_at":"2010-09-15T16:53:26Z","abstract_excerpt":"Formulas about the side lengths, diagonal lengths or radius of the circumcircle of a cyclic polygon in Euclidean geometry, hyperbolic geometry or spherical geometry can be unified."},"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":"1009.2970","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2010-09-15T16:53:26Z","cross_cats_sorted":[],"title_canon_sha256":"1d8f77e0200e1ed7a286d84866b2c7d0b6c03ec5b8ed6942d44d8362daec5b99","abstract_canon_sha256":"d534fc11164fccd9a70430e47b0482d9e992631f2d12a81253d32a2997559b82"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:26.780132Z","signature_b64":"nPjpT+7JidbP7t+QaRNZIqUet0IrzdIDduT8jjqy3G6PWc1lGlTzZWG5Ts1pCMAy8KuYTNK7ZwwDxQKXfvO+Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50044903a7c89b3e58fe28e518cd507b0d64d76bcad52f8186ec07d3b435f411","last_reissued_at":"2026-05-18T04:27:26.779642Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:26.779642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cyclic polygons in classical geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.MG","authors_text":"Nilg\\\"un S\\\"onmez, Ren Guo","submitted_at":"2010-09-15T16:53:26Z","abstract_excerpt":"Formulas about the side lengths, diagonal lengths or radius of the circumcircle of a cyclic polygon in Euclidean geometry, hyperbolic geometry or spherical geometry can be unified."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2970","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1009.2970","created_at":"2026-05-18T04:27:26.779702+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.2970v1","created_at":"2026-05-18T04:27:26.779702+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2970","created_at":"2026-05-18T04:27:26.779702+00:00"},{"alias_kind":"pith_short_12","alias_value":"KACESA5HZCNT","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"KACESA5HZCNT4WH6","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"KACESA5H","created_at":"2026-05-18T12:26:09.077623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KACESA5HZCNT4WH6FDSRRTKQPM","json":"https://pith.science/pith/KACESA5HZCNT4WH6FDSRRTKQPM.json","graph_json":"https://pith.science/api/pith-number/KACESA5HZCNT4WH6FDSRRTKQPM/graph.json","events_json":"https://pith.science/api/pith-number/KACESA5HZCNT4WH6FDSRRTKQPM/events.json","paper":"https://pith.science/paper/KACESA5H"},"agent_actions":{"view_html":"https://pith.science/pith/KACESA5HZCNT4WH6FDSRRTKQPM","download_json":"https://pith.science/pith/KACESA5HZCNT4WH6FDSRRTKQPM.json","view_paper":"https://pith.science/paper/KACESA5H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.2970&json=true","fetch_graph":"https://pith.science/api/pith-number/KACESA5HZCNT4WH6FDSRRTKQPM/graph.json","fetch_events":"https://pith.science/api/pith-number/KACESA5HZCNT4WH6FDSRRTKQPM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KACESA5HZCNT4WH6FDSRRTKQPM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KACESA5HZCNT4WH6FDSRRTKQPM/action/storage_attestation","attest_author":"https://pith.science/pith/KACESA5HZCNT4WH6FDSRRTKQPM/action/author_attestation","sign_citation":"https://pith.science/pith/KACESA5HZCNT4WH6FDSRRTKQPM/action/citation_signature","submit_replication":"https://pith.science/pith/KACESA5HZCNT4WH6FDSRRTKQPM/action/replication_record"}},"created_at":"2026-05-18T04:27:26.779702+00:00","updated_at":"2026-05-18T04:27:26.779702+00:00"}