{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:X2JAY6Y6PPNZMXL3W7RKNKLTNP","short_pith_number":"pith:X2JAY6Y6","canonical_record":{"source":{"id":"1310.1684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-07T06:17:51Z","cross_cats_sorted":[],"title_canon_sha256":"b8d8a827f9a5b6d558d0311f6d5dc486a3f638e5e319d288e0820d50456b5a1c","abstract_canon_sha256":"6e0b1333380269551cd81f0df53e65382344006ade792efef07589f0b8af906b"},"schema_version":"1.0"},"canonical_sha256":"be920c7b1e7bdb965d7bb7e2a6a9736bdfbc313dbb54327272d5c7c75ed5776c","source":{"kind":"arxiv","id":"1310.1684","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1684","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1684v2","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1684","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"pith_short_12","alias_value":"X2JAY6Y6PPNZ","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X2JAY6Y6PPNZMXL3","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X2JAY6Y6","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:X2JAY6Y6PPNZMXL3W7RKNKLTNP","target":"record","payload":{"canonical_record":{"source":{"id":"1310.1684","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-07T06:17:51Z","cross_cats_sorted":[],"title_canon_sha256":"b8d8a827f9a5b6d558d0311f6d5dc486a3f638e5e319d288e0820d50456b5a1c","abstract_canon_sha256":"6e0b1333380269551cd81f0df53e65382344006ade792efef07589f0b8af906b"},"schema_version":"1.0"},"canonical_sha256":"be920c7b1e7bdb965d7bb7e2a6a9736bdfbc313dbb54327272d5c7c75ed5776c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:46.041280Z","signature_b64":"OGDBmSdnihsyfselhKJ2m1yyAPr26d+9KWfMoQr/1nujW7yUZVOJfhQdMZ0w3cvun+x/yf5mkXl5U6F9T7BCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be920c7b1e7bdb965d7bb7e2a6a9736bdfbc313dbb54327272d5c7c75ed5776c","last_reissued_at":"2026-05-18T03:01:46.040699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:46.040699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.1684","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:01:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vik6EU7hwWnpgTyIqZA6XIcZmeXrhgQdqBT/ZEgao9Rsp2rSiJVFjc/3cpZOfyNVif1rvQ8d3y+CU3xkZAyDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T18:17:37.674537Z"},"content_sha256":"da90a46fe71ed31a4afb9fd0ffa1deb2a514b0c15f38853da134e1b07f865b6f","schema_version":"1.0","event_id":"sha256:da90a46fe71ed31a4afb9fd0ffa1deb2a514b0c15f38853da134e1b07f865b6f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:X2JAY6Y6PPNZMXL3W7RKNKLTNP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Operator-valued spectral measures and large deviations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alain Rouault (LM-Versailles), Fabrice Gamboa (IMT)","submitted_at":"2013-10-07T06:17:51Z","abstract_excerpt":"We study large deviation properties of random matricial spectral measures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1684","kind":"arxiv","version":2},"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":"2026-05-18T03:01:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dTyHp1uUp16i8CzmbWK+Nzv2lDVd3JFqCUBQLDmYmYo5aOJjR/snnCgYIoEfLPe8Hd+aTEX49nCv4dHXT7K7Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T18:17:37.674888Z"},"content_sha256":"1175e8fe02f664f893cbe4055ee1b52ccf4abd1095573d1684beb08077563d98","schema_version":"1.0","event_id":"sha256:1175e8fe02f664f893cbe4055ee1b52ccf4abd1095573d1684beb08077563d98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X2JAY6Y6PPNZMXL3W7RKNKLTNP/bundle.json","state_url":"https://pith.science/pith/X2JAY6Y6PPNZMXL3W7RKNKLTNP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X2JAY6Y6PPNZMXL3W7RKNKLTNP/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":"2026-07-04T18:17:37Z","links":{"resolver":"https://pith.science/pith/X2JAY6Y6PPNZMXL3W7RKNKLTNP","bundle":"https://pith.science/pith/X2JAY6Y6PPNZMXL3W7RKNKLTNP/bundle.json","state":"https://pith.science/pith/X2JAY6Y6PPNZMXL3W7RKNKLTNP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X2JAY6Y6PPNZMXL3W7RKNKLTNP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:X2JAY6Y6PPNZMXL3W7RKNKLTNP","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":"6e0b1333380269551cd81f0df53e65382344006ade792efef07589f0b8af906b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-07T06:17:51Z","title_canon_sha256":"b8d8a827f9a5b6d558d0311f6d5dc486a3f638e5e319d288e0820d50456b5a1c"},"schema_version":"1.0","source":{"id":"1310.1684","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.1684","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"arxiv_version","alias_value":"1310.1684v2","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1684","created_at":"2026-05-18T03:01:46Z"},{"alias_kind":"pith_short_12","alias_value":"X2JAY6Y6PPNZ","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X2JAY6Y6PPNZMXL3","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X2JAY6Y6","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:1175e8fe02f664f893cbe4055ee1b52ccf4abd1095573d1684beb08077563d98","target":"graph","created_at":"2026-05-18T03:01:46Z","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 study large deviation properties of random matricial spectral measures.","authors_text":"Alain Rouault (LM-Versailles), Fabrice Gamboa (IMT)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-07T06:17:51Z","title":"Operator-valued spectral measures and large deviations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1684","kind":"arxiv","version":2},"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:da90a46fe71ed31a4afb9fd0ffa1deb2a514b0c15f38853da134e1b07f865b6f","target":"record","created_at":"2026-05-18T03:01:46Z","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":"6e0b1333380269551cd81f0df53e65382344006ade792efef07589f0b8af906b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-10-07T06:17:51Z","title_canon_sha256":"b8d8a827f9a5b6d558d0311f6d5dc486a3f638e5e319d288e0820d50456b5a1c"},"schema_version":"1.0","source":{"id":"1310.1684","kind":"arxiv","version":2}},"canonical_sha256":"be920c7b1e7bdb965d7bb7e2a6a9736bdfbc313dbb54327272d5c7c75ed5776c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be920c7b1e7bdb965d7bb7e2a6a9736bdfbc313dbb54327272d5c7c75ed5776c","first_computed_at":"2026-05-18T03:01:46.040699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:46.040699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OGDBmSdnihsyfselhKJ2m1yyAPr26d+9KWfMoQr/1nujW7yUZVOJfhQdMZ0w3cvun+x/yf5mkXl5U6F9T7BCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:46.041280Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.1684","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da90a46fe71ed31a4afb9fd0ffa1deb2a514b0c15f38853da134e1b07f865b6f","sha256:1175e8fe02f664f893cbe4055ee1b52ccf4abd1095573d1684beb08077563d98"],"state_sha256":"eafb89df743882c339b171af658950d5c64dc9d3002094e1a662da8e58536796"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H7ymZTAnSsIgPjYoftP5I+iJ2bY6ljGMj7jcWtOe4H3j7Nmp42PepoXwAFgCzD0zrAguVl8121kW3Zsi4n0cCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T18:17:37.676989Z","bundle_sha256":"aff6f413678852fa25de8d5942a6bb7b52277d50319a59786b9d4d8ec6ee279b"}}