{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WLGNYSZFE5LEFLOXDWE743CIJ3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9ac4f246fb4c6c7c6931147922a5f29c8e9c111d2f3b12f6918b9b855b5aa97e","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-03-04T13:48:05Z","title_canon_sha256":"77e44e543683c6d3dcc73f43e1d1f88d042edf61ac80ac32e2c1bf7aec906f06"},"schema_version":"1.0","source":{"id":"1503.07432","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.07432","created_at":"2026-05-18T01:27:38Z"},{"alias_kind":"arxiv_version","alias_value":"1503.07432v1","created_at":"2026-05-18T01:27:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.07432","created_at":"2026-05-18T01:27:38Z"},{"alias_kind":"pith_short_12","alias_value":"WLGNYSZFE5LE","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WLGNYSZFE5LEFLOX","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WLGNYSZF","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:d6280b7c031377a8f1814505e173f1232552599008d01e9004aaec4677e1a67e","target":"graph","created_at":"2026-05-18T01:27:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The aim of this paper is to determine the elements which are in two pairs of sequences linked to the regular mosaics $\\{4,5\\}$ and $\\{p,q\\}$ on the hyperbolic plane. The problem leads to the solution of diophantine equations of certain types.","authors_text":"L\\'aszl\\'o N\\'emeth, L\\'aszl\\'o Szalay","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-03-04T13:48:05Z","title":"Coincidences in numbers of graph vertices corresponding to regular planar hyperbolic mosaics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.07432","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6eb8e35193e522d52c6720eb1bbb32b7f612703df3b648e0b5295aca631e1424","target":"record","created_at":"2026-05-18T01:27:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9ac4f246fb4c6c7c6931147922a5f29c8e9c111d2f3b12f6918b9b855b5aa97e","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2015-03-04T13:48:05Z","title_canon_sha256":"77e44e543683c6d3dcc73f43e1d1f88d042edf61ac80ac32e2c1bf7aec906f06"},"schema_version":"1.0","source":{"id":"1503.07432","kind":"arxiv","version":1}},"canonical_sha256":"b2ccdc4b25275642add71d89fe6c484ee5614fc8dd22ec5cfa3fd12f7459e794","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b2ccdc4b25275642add71d89fe6c484ee5614fc8dd22ec5cfa3fd12f7459e794","first_computed_at":"2026-05-18T01:27:38.415243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:38.415243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sF+WzXZttxXy/i/0zRHWlgV21URhLMwgsYV9qWs7Lu6g1SQcNZVhCbf0/o1baEkJ1o0ABOtb0atJ9pyoSMpUDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:38.415797Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.07432","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6eb8e35193e522d52c6720eb1bbb32b7f612703df3b648e0b5295aca631e1424","sha256:d6280b7c031377a8f1814505e173f1232552599008d01e9004aaec4677e1a67e"],"state_sha256":"c64415570f51b03e7d3f418fd4d92fb515b099aacf282051de4ce3ae78cac2d1"}