{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DOBBXIDQSOKHW4UOKVRGMXFBMS","short_pith_number":"pith:DOBBXIDQ","schema_version":"1.0","canonical_sha256":"1b821ba07093947b728e5562665ca164b1bcee98674a16ff38288d29abd0254d","source":{"kind":"arxiv","id":"1408.1493","version":1},"attestation_state":"computed","paper":{"title":"A porism concerning cyclic quadrilaterals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.MG","authors_text":"Jerzy Kocik","submitted_at":"2014-08-07T06:47:08Z","abstract_excerpt":"We present a geometric theorem on a porism about cyclic quadrilaterals, namely the existence of an infinite number of cyclic quadrilaterals through four fixed collinear points once one exists. Also, a technique of proving such properties with the use of pseudounitary traceless matrices is presented. A similar property holds for general quadrics as well as the circle."},"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":"1408.1493","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-08-07T06:47:08Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ef010c5fbcfb6a4ac68b97e6643f21cca90bb58b9b53e18e3edd0c74596026bb","abstract_canon_sha256":"a7c6c74e919f1029d9dd1ae9f53317aa9134e91510d4b06aff4f4e70d7132f3c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:40.312957Z","signature_b64":"0+9WpfKXW+XwlZOnJluyUarQki/itLsz8mph9Y5hHTa6VCWoaa1moC9W8mujE3giTtup+wV3c/rv3q521yNeAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b821ba07093947b728e5562665ca164b1bcee98674a16ff38288d29abd0254d","last_reissued_at":"2026-05-18T02:45:40.312388Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:40.312388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A porism concerning cyclic quadrilaterals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.MG","authors_text":"Jerzy Kocik","submitted_at":"2014-08-07T06:47:08Z","abstract_excerpt":"We present a geometric theorem on a porism about cyclic quadrilaterals, namely the existence of an infinite number of cyclic quadrilaterals through four fixed collinear points once one exists. Also, a technique of proving such properties with the use of pseudounitary traceless matrices is presented. A similar property holds for general quadrics as well as the circle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1493","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":"1408.1493","created_at":"2026-05-18T02:45:40.312494+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.1493v1","created_at":"2026-05-18T02:45:40.312494+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1493","created_at":"2026-05-18T02:45:40.312494+00:00"},{"alias_kind":"pith_short_12","alias_value":"DOBBXIDQSOKH","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DOBBXIDQSOKHW4UO","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DOBBXIDQ","created_at":"2026-05-18T12:28:25.294606+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/DOBBXIDQSOKHW4UOKVRGMXFBMS","json":"https://pith.science/pith/DOBBXIDQSOKHW4UOKVRGMXFBMS.json","graph_json":"https://pith.science/api/pith-number/DOBBXIDQSOKHW4UOKVRGMXFBMS/graph.json","events_json":"https://pith.science/api/pith-number/DOBBXIDQSOKHW4UOKVRGMXFBMS/events.json","paper":"https://pith.science/paper/DOBBXIDQ"},"agent_actions":{"view_html":"https://pith.science/pith/DOBBXIDQSOKHW4UOKVRGMXFBMS","download_json":"https://pith.science/pith/DOBBXIDQSOKHW4UOKVRGMXFBMS.json","view_paper":"https://pith.science/paper/DOBBXIDQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.1493&json=true","fetch_graph":"https://pith.science/api/pith-number/DOBBXIDQSOKHW4UOKVRGMXFBMS/graph.json","fetch_events":"https://pith.science/api/pith-number/DOBBXIDQSOKHW4UOKVRGMXFBMS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DOBBXIDQSOKHW4UOKVRGMXFBMS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DOBBXIDQSOKHW4UOKVRGMXFBMS/action/storage_attestation","attest_author":"https://pith.science/pith/DOBBXIDQSOKHW4UOKVRGMXFBMS/action/author_attestation","sign_citation":"https://pith.science/pith/DOBBXIDQSOKHW4UOKVRGMXFBMS/action/citation_signature","submit_replication":"https://pith.science/pith/DOBBXIDQSOKHW4UOKVRGMXFBMS/action/replication_record"}},"created_at":"2026-05-18T02:45:40.312494+00:00","updated_at":"2026-05-18T02:45:40.312494+00:00"}