{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:XOQFX4EMHDSUFS7Z46XDBKC5JY","short_pith_number":"pith:XOQFX4EM","schema_version":"1.0","canonical_sha256":"bba05bf08c38e542cbf9e7ae30a85d4e03854df5991c1eb3cae3252cd5a82a75","source":{"kind":"arxiv","id":"1210.0348","version":1},"attestation_state":"computed","paper":{"title":"There is no upper bound for the diameter of the commuting graph of a finite group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GR","authors_text":"Chris Parker, Michael Giudici","submitted_at":"2012-10-01T11:04:56Z","abstract_excerpt":"We construct a family of finite special 2-groups which have commuting graph of increasing diameter"},"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":"1210.0348","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2012-10-01T11:04:56Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"fbe7dc1f8c8eb8998b1693e8556d08014a0d7a3fa470a1bcb9bf73889e02d0fd","abstract_canon_sha256":"f980d178c4b4e9264b98fc808074cc0d85d45f2c2326fd73371e3144674e9ad4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:22.679146Z","signature_b64":"sN0hlfi5XaQJqegM39YjrvGekWAXt9m0RhSss/ij5PRRa2yxR1t+qYmgaJQ236phoxWpbJXYI4iGjUynTLotAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bba05bf08c38e542cbf9e7ae30a85d4e03854df5991c1eb3cae3252cd5a82a75","last_reissued_at":"2026-05-18T03:44:22.678580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:22.678580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"There is no upper bound for the diameter of the commuting graph of a finite group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GR","authors_text":"Chris Parker, Michael Giudici","submitted_at":"2012-10-01T11:04:56Z","abstract_excerpt":"We construct a family of finite special 2-groups which have commuting graph of increasing diameter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.0348","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":"1210.0348","created_at":"2026-05-18T03:44:22.678683+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.0348v1","created_at":"2026-05-18T03:44:22.678683+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.0348","created_at":"2026-05-18T03:44:22.678683+00:00"},{"alias_kind":"pith_short_12","alias_value":"XOQFX4EMHDSU","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"XOQFX4EMHDSUFS7Z","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"XOQFX4EM","created_at":"2026-05-18T12:27:27.928770+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/XOQFX4EMHDSUFS7Z46XDBKC5JY","json":"https://pith.science/pith/XOQFX4EMHDSUFS7Z46XDBKC5JY.json","graph_json":"https://pith.science/api/pith-number/XOQFX4EMHDSUFS7Z46XDBKC5JY/graph.json","events_json":"https://pith.science/api/pith-number/XOQFX4EMHDSUFS7Z46XDBKC5JY/events.json","paper":"https://pith.science/paper/XOQFX4EM"},"agent_actions":{"view_html":"https://pith.science/pith/XOQFX4EMHDSUFS7Z46XDBKC5JY","download_json":"https://pith.science/pith/XOQFX4EMHDSUFS7Z46XDBKC5JY.json","view_paper":"https://pith.science/paper/XOQFX4EM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.0348&json=true","fetch_graph":"https://pith.science/api/pith-number/XOQFX4EMHDSUFS7Z46XDBKC5JY/graph.json","fetch_events":"https://pith.science/api/pith-number/XOQFX4EMHDSUFS7Z46XDBKC5JY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XOQFX4EMHDSUFS7Z46XDBKC5JY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XOQFX4EMHDSUFS7Z46XDBKC5JY/action/storage_attestation","attest_author":"https://pith.science/pith/XOQFX4EMHDSUFS7Z46XDBKC5JY/action/author_attestation","sign_citation":"https://pith.science/pith/XOQFX4EMHDSUFS7Z46XDBKC5JY/action/citation_signature","submit_replication":"https://pith.science/pith/XOQFX4EMHDSUFS7Z46XDBKC5JY/action/replication_record"}},"created_at":"2026-05-18T03:44:22.678683+00:00","updated_at":"2026-05-18T03:44:22.678683+00:00"}