{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5SPQAKDIFIG5ED3EWV7EZCYPAN","short_pith_number":"pith:5SPQAKDI","canonical_record":{"source":{"id":"1306.6055","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-25T18:30:31Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"d0fafbf54d5d631815769daa12d9fb5eb5edd8ac7a925d98c948a39f42b55c08","abstract_canon_sha256":"b9047040580f4a003af6a950939e99ef98f161c5ccde8fc5aceebc1eb33ef07e"},"schema_version":"1.0"},"canonical_sha256":"ec9f0028682a0dd20f64b57e4c8b0f0340910d46d22a0d1795971cd74c3dffe1","source":{"kind":"arxiv","id":"1306.6055","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.6055","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"arxiv_version","alias_value":"1306.6055v3","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6055","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"pith_short_12","alias_value":"5SPQAKDIFIG5","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5SPQAKDIFIG5ED3E","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5SPQAKDI","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5SPQAKDIFIG5ED3EWV7EZCYPAN","target":"record","payload":{"canonical_record":{"source":{"id":"1306.6055","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-25T18:30:31Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"d0fafbf54d5d631815769daa12d9fb5eb5edd8ac7a925d98c948a39f42b55c08","abstract_canon_sha256":"b9047040580f4a003af6a950939e99ef98f161c5ccde8fc5aceebc1eb33ef07e"},"schema_version":"1.0"},"canonical_sha256":"ec9f0028682a0dd20f64b57e4c8b0f0340910d46d22a0d1795971cd74c3dffe1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:43.470064Z","signature_b64":"AYz3kRrkR5PFKEcE49Cxl/jwXv6Fmr7LSqGXf4AgMa4OoGlFLa80GwsrUblfk9Z5+l1skQHsksTAb6jGE967DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ec9f0028682a0dd20f64b57e4c8b0f0340910d46d22a0d1795971cd74c3dffe1","last_reissued_at":"2026-05-18T00:46:43.469453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:43.469453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.6055","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gfxzasShUxT/Loacs5s1aZw1RH3LAOpDMcFabSf3tXwak2Lqg03pUVztx5mK3ylL5quGrEtjws8eIk0pg+4NBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:53:47.858652Z"},"content_sha256":"40bdd94bdc717cb49b8d50a73c7aace910e9a3f67416c953314992634843adc9","schema_version":"1.0","event_id":"sha256:40bdd94bdc717cb49b8d50a73c7aace910e9a3f67416c953314992634843adc9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5SPQAKDIFIG5ED3EWV7EZCYPAN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Normal Form Theorem around Poisson Transversals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Ioan Marcut, Pedro Frejlich","submitted_at":"2013-06-25T18:30:31Z","abstract_excerpt":"We prove a normal form theorem for Poisson structures around Poisson transversals (also called cosymplectic submanifolds), which simultaneously generalizes Weinstein's symplectic neighborhood theorem from symplectic geometry and Weinstein's splitting theorem. Our approach turns out to be essentially canonical, and as a byproduct, we obtain an equivariant version of the latter theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6055","kind":"arxiv","version":3},"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":"2026-05-18T00:46:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AuYLWo8lXJcTuHLR3JAX+wVSMdxMwpxTkrW1GzbDdcwAHcTJ1GsoYPcu1Ycy1s2d/sLau33SQXEuB/dQwEh5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:53:47.858990Z"},"content_sha256":"8c768b41793951ed0485849c5c394a3ee6cbab9c119fbfc051ee9125d6aa7b7e","schema_version":"1.0","event_id":"sha256:8c768b41793951ed0485849c5c394a3ee6cbab9c119fbfc051ee9125d6aa7b7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5SPQAKDIFIG5ED3EWV7EZCYPAN/bundle.json","state_url":"https://pith.science/pith/5SPQAKDIFIG5ED3EWV7EZCYPAN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5SPQAKDIFIG5ED3EWV7EZCYPAN/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":"2026-06-09T14:53:47Z","links":{"resolver":"https://pith.science/pith/5SPQAKDIFIG5ED3EWV7EZCYPAN","bundle":"https://pith.science/pith/5SPQAKDIFIG5ED3EWV7EZCYPAN/bundle.json","state":"https://pith.science/pith/5SPQAKDIFIG5ED3EWV7EZCYPAN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5SPQAKDIFIG5ED3EWV7EZCYPAN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5SPQAKDIFIG5ED3EWV7EZCYPAN","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":"b9047040580f4a003af6a950939e99ef98f161c5ccde8fc5aceebc1eb33ef07e","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-25T18:30:31Z","title_canon_sha256":"d0fafbf54d5d631815769daa12d9fb5eb5edd8ac7a925d98c948a39f42b55c08"},"schema_version":"1.0","source":{"id":"1306.6055","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.6055","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"arxiv_version","alias_value":"1306.6055v3","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.6055","created_at":"2026-05-18T00:46:43Z"},{"alias_kind":"pith_short_12","alias_value":"5SPQAKDIFIG5","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5SPQAKDIFIG5ED3E","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5SPQAKDI","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:8c768b41793951ed0485849c5c394a3ee6cbab9c119fbfc051ee9125d6aa7b7e","target":"graph","created_at":"2026-05-18T00:46:43Z","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 normal form theorem for Poisson structures around Poisson transversals (also called cosymplectic submanifolds), which simultaneously generalizes Weinstein's symplectic neighborhood theorem from symplectic geometry and Weinstein's splitting theorem. Our approach turns out to be essentially canonical, and as a byproduct, we obtain an equivariant version of the latter theorem.","authors_text":"Ioan Marcut, Pedro Frejlich","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-25T18:30:31Z","title":"The Normal Form Theorem around Poisson Transversals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.6055","kind":"arxiv","version":3},"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":"sha256:40bdd94bdc717cb49b8d50a73c7aace910e9a3f67416c953314992634843adc9","target":"record","created_at":"2026-05-18T00:46:43Z","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":"b9047040580f4a003af6a950939e99ef98f161c5ccde8fc5aceebc1eb33ef07e","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-25T18:30:31Z","title_canon_sha256":"d0fafbf54d5d631815769daa12d9fb5eb5edd8ac7a925d98c948a39f42b55c08"},"schema_version":"1.0","source":{"id":"1306.6055","kind":"arxiv","version":3}},"canonical_sha256":"ec9f0028682a0dd20f64b57e4c8b0f0340910d46d22a0d1795971cd74c3dffe1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec9f0028682a0dd20f64b57e4c8b0f0340910d46d22a0d1795971cd74c3dffe1","first_computed_at":"2026-05-18T00:46:43.469453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:43.469453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AYz3kRrkR5PFKEcE49Cxl/jwXv6Fmr7LSqGXf4AgMa4OoGlFLa80GwsrUblfk9Z5+l1skQHsksTAb6jGE967DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:43.470064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.6055","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40bdd94bdc717cb49b8d50a73c7aace910e9a3f67416c953314992634843adc9","sha256:8c768b41793951ed0485849c5c394a3ee6cbab9c119fbfc051ee9125d6aa7b7e"],"state_sha256":"31969a1f28499b32b269f68cc06a964ceba503b7a5f763b83a9594e3a819e4ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LkbedrN8tn5cg7mGfMlMAF2qP7IwFNBUAS1mNbDcx40T6zv+CB77FAU2uobi2ZG/j79ig+o6oPPlTGTCjBF7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T14:53:47.860884Z","bundle_sha256":"de7b2c8b0b7dfaf5f5da1e39bc2461fe48d953be0dea2143516f657de17bdb5e"}}