{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UXL5BPPAV3O23X6YS2FPWWQSDL","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":"044261c1eb1fb594380a851d71b9536376e124dee1a50ce5c6d291b0b5b3606b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-10T18:46:20Z","title_canon_sha256":"5bd2456e4081b8d977a2e6c26edcfbe8fad88f8f44eef0034264620b5d8b3d40"},"schema_version":"1.0","source":{"id":"1301.2213","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2213","created_at":"2026-05-18T03:03:32Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2213v1","created_at":"2026-05-18T03:03:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2213","created_at":"2026-05-18T03:03:32Z"},{"alias_kind":"pith_short_12","alias_value":"UXL5BPPAV3O2","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UXL5BPPAV3O23X6Y","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UXL5BPPA","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:635ff558f69b8a0b8169b229cf2b12ad25f09055a8234682ed7c5e4343f9a74a","target":"graph","created_at":"2026-05-18T03:03:32Z","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":"A seminorm with square property on a real associative algebra is submultiplicative","authors_text":"M. El Azhari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-10T18:46:20Z","title":"A real seminorm with square property is submultiplicative"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2213","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":"sha256:8ce5a3ec0f06a427050c54a9018052e3baad2bc1c360de5cb5ea7acacdfae598","target":"record","created_at":"2026-05-18T03:03:32Z","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":"044261c1eb1fb594380a851d71b9536376e124dee1a50ce5c6d291b0b5b3606b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-10T18:46:20Z","title_canon_sha256":"5bd2456e4081b8d977a2e6c26edcfbe8fad88f8f44eef0034264620b5d8b3d40"},"schema_version":"1.0","source":{"id":"1301.2213","kind":"arxiv","version":1}},"canonical_sha256":"a5d7d0bde0aeddaddfd8968afb5a121ac43beb84e856bc151d07e10d116af624","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5d7d0bde0aeddaddfd8968afb5a121ac43beb84e856bc151d07e10d116af624","first_computed_at":"2026-05-18T03:03:32.414771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:32.414771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5JW7IX44/A/n4DLE7A0FBuyE4t1B6BaYZ7b2daz7NqeMevh9a3kSiuGqeJCyi00Rdrpejsb+mhWVOQVjU9LcBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:32.415307Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2213","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ce5a3ec0f06a427050c54a9018052e3baad2bc1c360de5cb5ea7acacdfae598","sha256:635ff558f69b8a0b8169b229cf2b12ad25f09055a8234682ed7c5e4343f9a74a"],"state_sha256":"5afa6e822ef668e5326752e47788a25ff2c4c3ae7ace8d88ffa1961ebfa210da"}