{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:RGWMET3B7XY746CP4OU7T5QUNS","short_pith_number":"pith:RGWMET3B","canonical_record":{"source":{"id":"1307.4363","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-07-16T18:20:19Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"a84c396a2a01a7423d98e8a566b8d16d8fdb1a9e3b4b878b954ed7908ce69e89","abstract_canon_sha256":"2e38449ca2a7d87dbbac2014392b36b7ec72b004200b0a4393983ec5f8e48660"},"schema_version":"1.0"},"canonical_sha256":"89acc24f61fdf1fe784fe3a9f9f6146ca771c9f61bab5a6f6f2dc26bcdebd327","source":{"kind":"arxiv","id":"1307.4363","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4363","created_at":"2026-05-18T03:18:19Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4363v1","created_at":"2026-05-18T03:18:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4363","created_at":"2026-05-18T03:18:19Z"},{"alias_kind":"pith_short_12","alias_value":"RGWMET3B7XY7","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RGWMET3B7XY746CP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RGWMET3B","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:RGWMET3B7XY746CP4OU7T5QUNS","target":"record","payload":{"canonical_record":{"source":{"id":"1307.4363","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-07-16T18:20:19Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"a84c396a2a01a7423d98e8a566b8d16d8fdb1a9e3b4b878b954ed7908ce69e89","abstract_canon_sha256":"2e38449ca2a7d87dbbac2014392b36b7ec72b004200b0a4393983ec5f8e48660"},"schema_version":"1.0"},"canonical_sha256":"89acc24f61fdf1fe784fe3a9f9f6146ca771c9f61bab5a6f6f2dc26bcdebd327","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:19.045258Z","signature_b64":"DMSkW/ErAhi8glqsjTMcUQK8j8XyDENLRvx0qGnNj4/RkoihSEnfzN1oYwluAv/QiciATsfniCozrp2VAFz7Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89acc24f61fdf1fe784fe3a9f9f6146ca771c9f61bab5a6f6f2dc26bcdebd327","last_reissued_at":"2026-05-18T03:18:19.044695Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:19.044695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.4363","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":"2026-05-18T03:18:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"07o2dnpOAhz3U7Cz1Zeg4eJDK4BUu4au+PdCCOlCbRpInJuzEJtIhi9N0uSUuXE46bHoK6MIfltyWHgRAuNCBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T03:18:44.774885Z"},"content_sha256":"4c3cfe0f4fe92dbbe1a84ce1c1a4f21c8da86913e758d50b59eac716c05f34d6","schema_version":"1.0","event_id":"sha256:4c3cfe0f4fe92dbbe1a84ce1c1a4f21c8da86913e758d50b59eac716c05f34d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:RGWMET3B7XY746CP4OU7T5QUNS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reeb-Thurston stability for symplectic foliations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Ioan Marcut, Marius Crainic","submitted_at":"2013-07-16T18:20:19Z","abstract_excerpt":"We prove a version the local Reeb-Thurston stability theorem for symplectic foliations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4363","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":"2026-05-18T03:18:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"krC0rCWmUDuddbae/UBNqdCVJTE6eLQ4EOawybrMG+2ysEjqyUf+pz0EnVkG8RQql3uTXWPOoY2spg7ZPPA1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T03:18:44.775714Z"},"content_sha256":"7a24dc53736dfca45351b3d5ee0c8e289a3d618e3f0b4b1fd20cdf21aa6517b8","schema_version":"1.0","event_id":"sha256:7a24dc53736dfca45351b3d5ee0c8e289a3d618e3f0b4b1fd20cdf21aa6517b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGWMET3B7XY746CP4OU7T5QUNS/bundle.json","state_url":"https://pith.science/pith/RGWMET3B7XY746CP4OU7T5QUNS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGWMET3B7XY746CP4OU7T5QUNS/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":"2026-05-24T03:18:44Z","links":{"resolver":"https://pith.science/pith/RGWMET3B7XY746CP4OU7T5QUNS","bundle":"https://pith.science/pith/RGWMET3B7XY746CP4OU7T5QUNS/bundle.json","state":"https://pith.science/pith/RGWMET3B7XY746CP4OU7T5QUNS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGWMET3B7XY746CP4OU7T5QUNS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RGWMET3B7XY746CP4OU7T5QUNS","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":"2e38449ca2a7d87dbbac2014392b36b7ec72b004200b0a4393983ec5f8e48660","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-07-16T18:20:19Z","title_canon_sha256":"a84c396a2a01a7423d98e8a566b8d16d8fdb1a9e3b4b878b954ed7908ce69e89"},"schema_version":"1.0","source":{"id":"1307.4363","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4363","created_at":"2026-05-18T03:18:19Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4363v1","created_at":"2026-05-18T03:18:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4363","created_at":"2026-05-18T03:18:19Z"},{"alias_kind":"pith_short_12","alias_value":"RGWMET3B7XY7","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RGWMET3B7XY746CP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RGWMET3B","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:7a24dc53736dfca45351b3d5ee0c8e289a3d618e3f0b4b1fd20cdf21aa6517b8","target":"graph","created_at":"2026-05-18T03:18:19Z","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 prove a version the local Reeb-Thurston stability theorem for symplectic foliations.","authors_text":"Ioan Marcut, Marius Crainic","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-07-16T18:20:19Z","title":"Reeb-Thurston stability for symplectic foliations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4363","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":"sha256:4c3cfe0f4fe92dbbe1a84ce1c1a4f21c8da86913e758d50b59eac716c05f34d6","target":"record","created_at":"2026-05-18T03:18:19Z","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":"2e38449ca2a7d87dbbac2014392b36b7ec72b004200b0a4393983ec5f8e48660","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-07-16T18:20:19Z","title_canon_sha256":"a84c396a2a01a7423d98e8a566b8d16d8fdb1a9e3b4b878b954ed7908ce69e89"},"schema_version":"1.0","source":{"id":"1307.4363","kind":"arxiv","version":1}},"canonical_sha256":"89acc24f61fdf1fe784fe3a9f9f6146ca771c9f61bab5a6f6f2dc26bcdebd327","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89acc24f61fdf1fe784fe3a9f9f6146ca771c9f61bab5a6f6f2dc26bcdebd327","first_computed_at":"2026-05-18T03:18:19.044695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:19.044695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DMSkW/ErAhi8glqsjTMcUQK8j8XyDENLRvx0qGnNj4/RkoihSEnfzN1oYwluAv/QiciATsfniCozrp2VAFz7Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:19.045258Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4363","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c3cfe0f4fe92dbbe1a84ce1c1a4f21c8da86913e758d50b59eac716c05f34d6","sha256:7a24dc53736dfca45351b3d5ee0c8e289a3d618e3f0b4b1fd20cdf21aa6517b8"],"state_sha256":"ed63ecfc747932b0713504da1ce79f71dbfad161e541abf2a4541ec39e4bb78b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XDeJ+mYpjor4R3sRphGCrDKh0bBhJ6lpbEM6C9NcWDspvwNzEt/MU94TpytGEgNpjrrjDrl8w4RDoyZlQ8n2DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T03:18:44.779383Z","bundle_sha256":"4a1ba97e6276be994377ccf479c2cb133403f6d37305d3d230c4798db3d494ea"}}