{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:UR3RC74I57BE2LYMQKZWXJ5X3F","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":"445e7d0659234e05ea94096897a828a17716683ed44d53dee54db481b7d42312","cross_cats_sorted":["math-ph","math.FA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-11T19:21:18Z","title_canon_sha256":"ef9a119177c3a4ad05f7d5e931ca8c54b9171a3271b5b3fd927ff3761666dd5b"},"schema_version":"1.0","source":{"id":"1010.2193","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2193","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2193v1","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2193","created_at":"2026-05-18T04:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"UR3RC74I57BE","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"UR3RC74I57BE2LYM","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"UR3RC74I","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:0f1c898cac9ab8d7f1c88150f0ad9ae20eb322c0749d9bf4da2fe33d81eab7dc","target":"graph","created_at":"2026-05-18T04:39:29Z","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":"We give a very short proof of the Golden-Thompson inequality","authors_text":"Igor Rivin","cross_cats":["math-ph","math.FA","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-11T19:21:18Z","title":"Golden-Thompson from Davis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2193","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:d587bfcd6228a5f7c204b4abf3172e45a4270f8405ddd73e5c0481ca1eeb548a","target":"record","created_at":"2026-05-18T04:39:29Z","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":"445e7d0659234e05ea94096897a828a17716683ed44d53dee54db481b7d42312","cross_cats_sorted":["math-ph","math.FA","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-10-11T19:21:18Z","title_canon_sha256":"ef9a119177c3a4ad05f7d5e931ca8c54b9171a3271b5b3fd927ff3761666dd5b"},"schema_version":"1.0","source":{"id":"1010.2193","kind":"arxiv","version":1}},"canonical_sha256":"a477117f88efc24d2f0c82b36ba7b7d950411980543109c28933470fce4c3b11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a477117f88efc24d2f0c82b36ba7b7d950411980543109c28933470fce4c3b11","first_computed_at":"2026-05-18T04:39:29.462733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:29.462733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V9fz3kmWn6t5FZxPrZwZfh0nITW2ypTmr6EMF5+La3473DarikrYZpeXa0GeG6XevOt404Bnmcv+50tSlstsCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:29.463268Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2193","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d587bfcd6228a5f7c204b4abf3172e45a4270f8405ddd73e5c0481ca1eeb548a","sha256:0f1c898cac9ab8d7f1c88150f0ad9ae20eb322c0749d9bf4da2fe33d81eab7dc"],"state_sha256":"4431781fe4915a1baac95422e6d0959d08b6e12c7d39d95970c5b14f11145b05"}