{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:MOYQB3623S3X3CAASVDUVLXSUM","short_pith_number":"pith:MOYQB362","canonical_record":{"source":{"id":"1405.4954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-20T05:06:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b6f99286ee26d8e7650b87b7357dedbe7c6e9a3053fa098f930ac984517366fb","abstract_canon_sha256":"c333c005d6a45c23d625e58eb0f093bef3df5a4cd11d1c100b2e055bebce1496"},"schema_version":"1.0"},"canonical_sha256":"63b100efdadcb77d880095474aaef2a319f51456bdd80052a24c998ffc963e55","source":{"kind":"arxiv","id":"1405.4954","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4954","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4954v1","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4954","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"MOYQB3623S3X","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MOYQB3623S3X3CAA","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MOYQB362","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:MOYQB3623S3X3CAASVDUVLXSUM","target":"record","payload":{"canonical_record":{"source":{"id":"1405.4954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-20T05:06:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b6f99286ee26d8e7650b87b7357dedbe7c6e9a3053fa098f930ac984517366fb","abstract_canon_sha256":"c333c005d6a45c23d625e58eb0f093bef3df5a4cd11d1c100b2e055bebce1496"},"schema_version":"1.0"},"canonical_sha256":"63b100efdadcb77d880095474aaef2a319f51456bdd80052a24c998ffc963e55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:46.642496Z","signature_b64":"R2FJE/5tGToY+xMlhO9I3SmUKlArZ1r+lSGhZNMHwQi/v8H2JQk8v9CEdvq+Q1I8RUEEVeUnkRGeK6AB0Q/sBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63b100efdadcb77d880095474aaef2a319f51456bdd80052a24c998ffc963e55","last_reissued_at":"2026-05-18T01:31:46.642088Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:46.642088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.4954","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":"2026-05-18T01:31:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q5mU3GEFsY6hts2FrcMROxIHhfSSB0ReBVAMWH78Fn1BCzJtSR7ahtqNmBLBt/jPIfqpioUco1Cuny8Y9l6uAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:16:57.077193Z"},"content_sha256":"ddc693b583f9e674c3e71abf7ebad5792513a23275130923a0f980b8153d4441","schema_version":"1.0","event_id":"sha256:ddc693b583f9e674c3e71abf7ebad5792513a23275130923a0f980b8153d4441"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:MOYQB3623S3X3CAASVDUVLXSUM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Invariant measures and long time behaviour for the Benjamin-Ono equation III","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"N. Tzvetkov, N. Visciglia, Y. Deng","submitted_at":"2014-05-20T05:06:04Z","abstract_excerpt":"We complete the program developed in our previous works aiming to construct an infinite sequence of invariant measures of gaussian type associated with the conservation laws of the Benjamin-Ono equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4954","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":"2026-05-18T01:31:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3KB/e6lpMx7zzPvl+BH7lvIBrQO3ihYprCEoSpccOln9prhRNsMcI0HSut5ey5BB+i6Kn9f9RW37G334pJihBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T22:16:57.077551Z"},"content_sha256":"f960d27c5833886f273b7ac5998317d6c72fa97a74086197dc143d3245e099d0","schema_version":"1.0","event_id":"sha256:f960d27c5833886f273b7ac5998317d6c72fa97a74086197dc143d3245e099d0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MOYQB3623S3X3CAASVDUVLXSUM/bundle.json","state_url":"https://pith.science/pith/MOYQB3623S3X3CAASVDUVLXSUM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MOYQB3623S3X3CAASVDUVLXSUM/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":"2026-06-10T22:16:57Z","links":{"resolver":"https://pith.science/pith/MOYQB3623S3X3CAASVDUVLXSUM","bundle":"https://pith.science/pith/MOYQB3623S3X3CAASVDUVLXSUM/bundle.json","state":"https://pith.science/pith/MOYQB3623S3X3CAASVDUVLXSUM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MOYQB3623S3X3CAASVDUVLXSUM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MOYQB3623S3X3CAASVDUVLXSUM","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":"c333c005d6a45c23d625e58eb0f093bef3df5a4cd11d1c100b2e055bebce1496","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-20T05:06:04Z","title_canon_sha256":"b6f99286ee26d8e7650b87b7357dedbe7c6e9a3053fa098f930ac984517366fb"},"schema_version":"1.0","source":{"id":"1405.4954","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4954","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4954v1","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4954","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"MOYQB3623S3X","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MOYQB3623S3X3CAA","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MOYQB362","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:f960d27c5833886f273b7ac5998317d6c72fa97a74086197dc143d3245e099d0","target":"graph","created_at":"2026-05-18T01:31:46Z","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 complete the program developed in our previous works aiming to construct an infinite sequence of invariant measures of gaussian type associated with the conservation laws of the Benjamin-Ono equation.","authors_text":"N. Tzvetkov, N. Visciglia, Y. Deng","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-20T05:06:04Z","title":"Invariant measures and long time behaviour for the Benjamin-Ono equation III"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4954","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:ddc693b583f9e674c3e71abf7ebad5792513a23275130923a0f980b8153d4441","target":"record","created_at":"2026-05-18T01:31:46Z","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":"c333c005d6a45c23d625e58eb0f093bef3df5a4cd11d1c100b2e055bebce1496","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-20T05:06:04Z","title_canon_sha256":"b6f99286ee26d8e7650b87b7357dedbe7c6e9a3053fa098f930ac984517366fb"},"schema_version":"1.0","source":{"id":"1405.4954","kind":"arxiv","version":1}},"canonical_sha256":"63b100efdadcb77d880095474aaef2a319f51456bdd80052a24c998ffc963e55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63b100efdadcb77d880095474aaef2a319f51456bdd80052a24c998ffc963e55","first_computed_at":"2026-05-18T01:31:46.642088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:46.642088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R2FJE/5tGToY+xMlhO9I3SmUKlArZ1r+lSGhZNMHwQi/v8H2JQk8v9CEdvq+Q1I8RUEEVeUnkRGeK6AB0Q/sBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:46.642496Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4954","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ddc693b583f9e674c3e71abf7ebad5792513a23275130923a0f980b8153d4441","sha256:f960d27c5833886f273b7ac5998317d6c72fa97a74086197dc143d3245e099d0"],"state_sha256":"a3a57dfd9589863f0fdb2595c8ff08c69024c309ef3b85a97da492a02ce5d94f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pjnW8AOQ2ao4a7xRV6M7asrgLyL11LYeW+8TdBk85mCgnjsBqpcOqMog7nynVqCUxAANzqE5UlzMwrMFKHKHDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T22:16:57.079526Z","bundle_sha256":"c55564f89303eab332ed1fb4d76b8dc6e4bdaf02e08fca1cb04fc93f3d595ac2"}}