{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:QSWDQMEQN4SGCYI4HW6RFYA4WX","short_pith_number":"pith:QSWDQMEQ","canonical_record":{"source":{"id":"1207.5394","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-07-23T13:53:16Z","cross_cats_sorted":[],"title_canon_sha256":"e84a6af5b4462e01713c3f2e6b087750418c288fcd44c323409df8051d875fa0","abstract_canon_sha256":"175cfafdfacfaf3372f0999d2237c7f7b475c72c0e2ee70b51042c01024c6f3f"},"schema_version":"1.0"},"canonical_sha256":"84ac3830906f2461611c3dbd12e01cb5fd3ab87cbda777917c00fa9722f201dd","source":{"kind":"arxiv","id":"1207.5394","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5394","created_at":"2026-05-18T01:01:52Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5394v1","created_at":"2026-05-18T01:01:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5394","created_at":"2026-05-18T01:01:52Z"},{"alias_kind":"pith_short_12","alias_value":"QSWDQMEQN4SG","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QSWDQMEQN4SGCYI4","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QSWDQMEQ","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:QSWDQMEQN4SGCYI4HW6RFYA4WX","target":"record","payload":{"canonical_record":{"source":{"id":"1207.5394","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-07-23T13:53:16Z","cross_cats_sorted":[],"title_canon_sha256":"e84a6af5b4462e01713c3f2e6b087750418c288fcd44c323409df8051d875fa0","abstract_canon_sha256":"175cfafdfacfaf3372f0999d2237c7f7b475c72c0e2ee70b51042c01024c6f3f"},"schema_version":"1.0"},"canonical_sha256":"84ac3830906f2461611c3dbd12e01cb5fd3ab87cbda777917c00fa9722f201dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:52.700128Z","signature_b64":"bEhYFeH3AghS7YlGxjXk7vLhm+GoajyN6Zne6MXriHOc+EaHM+Q+rW6hvRTLVC4n0Gs7NyT+xRKVYI/6NMfgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84ac3830906f2461611c3dbd12e01cb5fd3ab87cbda777917c00fa9722f201dd","last_reissued_at":"2026-05-18T01:01:52.699295Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:52.699295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.5394","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kd5HSh27K4maxUKSZdF7mP07xAUI/JdvzvgXw89/0rQ8SgHwHaNTCYm61q3Vngv2+GB2cqjPBRbxAUKoUxwUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:40:07.622207Z"},"content_sha256":"51652ac3eab43dab7d54dbc8671c33b0473fe9a867a04b82a7e69024b37fe70f","schema_version":"1.0","event_id":"sha256:51652ac3eab43dab7d54dbc8671c33b0473fe9a867a04b82a7e69024b37fe70f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:QSWDQMEQN4SGCYI4HW6RFYA4WX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local Derivations on Jordan Triples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Michael Mackey","submitted_at":"2012-07-23T13:53:16Z","abstract_excerpt":"R.V. Kadison defined the notion of local derivation on an algebra and proved that every continuous local derivation on a von Neumann algebra is a derivation (Kadison 1990). We provide the analogous result in the setting of Jordan triples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5394","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:01:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zsa4W1pYZanJDYhFIA6313GEO3pWy7WZIGs2MoHcxpT/2/bAnzUWlKa7P2HkhNIutM7UQmIcjsXnjJjcXO5GCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T16:40:07.622931Z"},"content_sha256":"4549ca72fd2673f971abb8696d89964a5512761e53296bb25f738bf6026755eb","schema_version":"1.0","event_id":"sha256:4549ca72fd2673f971abb8696d89964a5512761e53296bb25f738bf6026755eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QSWDQMEQN4SGCYI4HW6RFYA4WX/bundle.json","state_url":"https://pith.science/pith/QSWDQMEQN4SGCYI4HW6RFYA4WX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QSWDQMEQN4SGCYI4HW6RFYA4WX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T16:40:07Z","links":{"resolver":"https://pith.science/pith/QSWDQMEQN4SGCYI4HW6RFYA4WX","bundle":"https://pith.science/pith/QSWDQMEQN4SGCYI4HW6RFYA4WX/bundle.json","state":"https://pith.science/pith/QSWDQMEQN4SGCYI4HW6RFYA4WX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QSWDQMEQN4SGCYI4HW6RFYA4WX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QSWDQMEQN4SGCYI4HW6RFYA4WX","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":"175cfafdfacfaf3372f0999d2237c7f7b475c72c0e2ee70b51042c01024c6f3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-07-23T13:53:16Z","title_canon_sha256":"e84a6af5b4462e01713c3f2e6b087750418c288fcd44c323409df8051d875fa0"},"schema_version":"1.0","source":{"id":"1207.5394","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5394","created_at":"2026-05-18T01:01:52Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5394v1","created_at":"2026-05-18T01:01:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5394","created_at":"2026-05-18T01:01:52Z"},{"alias_kind":"pith_short_12","alias_value":"QSWDQMEQN4SG","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QSWDQMEQN4SGCYI4","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QSWDQMEQ","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:4549ca72fd2673f971abb8696d89964a5512761e53296bb25f738bf6026755eb","target":"graph","created_at":"2026-05-18T01:01:52Z","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":"R.V. Kadison defined the notion of local derivation on an algebra and proved that every continuous local derivation on a von Neumann algebra is a derivation (Kadison 1990). We provide the analogous result in the setting of Jordan triples.","authors_text":"Michael Mackey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-07-23T13:53:16Z","title":"Local Derivations on Jordan Triples"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5394","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":"sha256:51652ac3eab43dab7d54dbc8671c33b0473fe9a867a04b82a7e69024b37fe70f","target":"record","created_at":"2026-05-18T01:01:52Z","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":"175cfafdfacfaf3372f0999d2237c7f7b475c72c0e2ee70b51042c01024c6f3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-07-23T13:53:16Z","title_canon_sha256":"e84a6af5b4462e01713c3f2e6b087750418c288fcd44c323409df8051d875fa0"},"schema_version":"1.0","source":{"id":"1207.5394","kind":"arxiv","version":1}},"canonical_sha256":"84ac3830906f2461611c3dbd12e01cb5fd3ab87cbda777917c00fa9722f201dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84ac3830906f2461611c3dbd12e01cb5fd3ab87cbda777917c00fa9722f201dd","first_computed_at":"2026-05-18T01:01:52.699295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:52.699295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bEhYFeH3AghS7YlGxjXk7vLhm+GoajyN6Zne6MXriHOc+EaHM+Q+rW6hvRTLVC4n0Gs7NyT+xRKVYI/6NMfgDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:52.700128Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.5394","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51652ac3eab43dab7d54dbc8671c33b0473fe9a867a04b82a7e69024b37fe70f","sha256:4549ca72fd2673f971abb8696d89964a5512761e53296bb25f738bf6026755eb"],"state_sha256":"cc789c1338d5d772ec7e4e940594f103fb8d6d011ff6b1beeb722dec48c973a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cR409pnjrWIamnoKgkeigTC5MVbe5uQzAW3gyVwoESyv7a10FpesOHI3M9qRvleQp07rfeWIijurYLmQHN5OCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T16:40:07.626972Z","bundle_sha256":"600dc5b21cf0e95cff355d26963976a1f8c32f298cdeb277d3aa2dabcf8c7374"}}