{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:UDNI2LW3MTENJMVKU5KMK2D45Y","short_pith_number":"pith:UDNI2LW3","schema_version":"1.0","canonical_sha256":"a0da8d2edb64c8d4b2aaa754c5687cee2b46ebdd0776c59b5c130b76515512c4","source":{"kind":"arxiv","id":"0707.4175","version":3},"attestation_state":"computed","paper":{"title":"On Hadamard matrices at roots of unity","license":"","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Jean-Marc Schlenker, Teodor Banica","submitted_at":"2007-07-27T20:05:57Z","abstract_excerpt":"This paper has been withdrawn by the authors, the main result being known since Lam and Leung, J. Algebra 2000."},"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":"0707.4175","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.CO","submitted_at":"2007-07-27T20:05:57Z","cross_cats_sorted":[],"title_canon_sha256":"a1cc1cc6cdb685d96ac708e686b97f5fbec5a2207f842d64b919574a50d73989","abstract_canon_sha256":"fbc8b44978cd0325d9a7957bbce7bb4866ab71f651c34334834198c4c66bc8ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:14.569454Z","signature_b64":"kgJ5unaZynKykXdBDj4BMy746MC7SizQNiPrsny8EcQkaswaVpZWDj1DGzP1oB5+Y35Y/Z2tLU6k8a6ysJU0Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0da8d2edb64c8d4b2aaa754c5687cee2b46ebdd0776c59b5c130b76515512c4","last_reissued_at":"2026-05-18T03:35:14.568956Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:14.568956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Hadamard matrices at roots of unity","license":"","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Jean-Marc Schlenker, Teodor Banica","submitted_at":"2007-07-27T20:05:57Z","abstract_excerpt":"This paper has been withdrawn by the authors, the main result being known since Lam and Leung, J. Algebra 2000."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.4175","kind":"arxiv","version":3},"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":"0707.4175","created_at":"2026-05-18T03:35:14.569030+00:00"},{"alias_kind":"arxiv_version","alias_value":"0707.4175v3","created_at":"2026-05-18T03:35:14.569030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.4175","created_at":"2026-05-18T03:35:14.569030+00:00"},{"alias_kind":"pith_short_12","alias_value":"UDNI2LW3MTEN","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"UDNI2LW3MTENJMVK","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"UDNI2LW3","created_at":"2026-05-18T12:25:56.245647+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/UDNI2LW3MTENJMVKU5KMK2D45Y","json":"https://pith.science/pith/UDNI2LW3MTENJMVKU5KMK2D45Y.json","graph_json":"https://pith.science/api/pith-number/UDNI2LW3MTENJMVKU5KMK2D45Y/graph.json","events_json":"https://pith.science/api/pith-number/UDNI2LW3MTENJMVKU5KMK2D45Y/events.json","paper":"https://pith.science/paper/UDNI2LW3"},"agent_actions":{"view_html":"https://pith.science/pith/UDNI2LW3MTENJMVKU5KMK2D45Y","download_json":"https://pith.science/pith/UDNI2LW3MTENJMVKU5KMK2D45Y.json","view_paper":"https://pith.science/paper/UDNI2LW3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0707.4175&json=true","fetch_graph":"https://pith.science/api/pith-number/UDNI2LW3MTENJMVKU5KMK2D45Y/graph.json","fetch_events":"https://pith.science/api/pith-number/UDNI2LW3MTENJMVKU5KMK2D45Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UDNI2LW3MTENJMVKU5KMK2D45Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UDNI2LW3MTENJMVKU5KMK2D45Y/action/storage_attestation","attest_author":"https://pith.science/pith/UDNI2LW3MTENJMVKU5KMK2D45Y/action/author_attestation","sign_citation":"https://pith.science/pith/UDNI2LW3MTENJMVKU5KMK2D45Y/action/citation_signature","submit_replication":"https://pith.science/pith/UDNI2LW3MTENJMVKU5KMK2D45Y/action/replication_record"}},"created_at":"2026-05-18T03:35:14.569030+00:00","updated_at":"2026-05-18T03:35:14.569030+00:00"}