{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:JSYIWMXDIK2B7W3JNPXT5JEZJH","short_pith_number":"pith:JSYIWMXD","canonical_record":{"source":{"id":"0910.2752","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-10-15T00:09:25Z","cross_cats_sorted":[],"title_canon_sha256":"170d402e0ec07319bdc8e0b5e7e45f4b2ab0e5ee0a77974346599b9d7fe60ee7","abstract_canon_sha256":"e29121ca607ca3506be6ad68b41a40ac1a6d657d88ec68e467731a2a3c6cd718"},"schema_version":"1.0"},"canonical_sha256":"4cb08b32e342b41fdb696bef3ea49949d48933554852f06863233a0b85e17768","source":{"kind":"arxiv","id":"0910.2752","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.2752","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"0910.2752v4","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.2752","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"JSYIWMXDIK2B","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JSYIWMXDIK2B7W3J","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JSYIWMXD","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:JSYIWMXDIK2B7W3JNPXT5JEZJH","target":"record","payload":{"canonical_record":{"source":{"id":"0910.2752","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-10-15T00:09:25Z","cross_cats_sorted":[],"title_canon_sha256":"170d402e0ec07319bdc8e0b5e7e45f4b2ab0e5ee0a77974346599b9d7fe60ee7","abstract_canon_sha256":"e29121ca607ca3506be6ad68b41a40ac1a6d657d88ec68e467731a2a3c6cd718"},"schema_version":"1.0"},"canonical_sha256":"4cb08b32e342b41fdb696bef3ea49949d48933554852f06863233a0b85e17768","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:03:55.524210Z","signature_b64":"5Ztqz6it0IQy+hMC68s06Zjtd3VGj72SjWs+Cz453ycSEQb1+1y9A5kMaEsRlZ98XY81gKxCULEgLNG8oVmnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cb08b32e342b41fdb696bef3ea49949d48933554852f06863233a0b85e17768","last_reissued_at":"2026-05-18T03:03:55.523586Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:03:55.523586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0910.2752","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JWYow/TbxGZU5EIdYvdF/nIUEiPMbdIZoPohdUSDLpqhaIgvKUUiNWJVpMCuo7QWCirHg71t1yeCr3bv295tDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:22:49.911146Z"},"content_sha256":"c6ed8a0e19ab5a6e8dc6dbe1c2eabd4c45f09329fe9fe2efad6bd45b59abc3ce","schema_version":"1.0","event_id":"sha256:c6ed8a0e19ab5a6e8dc6dbe1c2eabd4c45f09329fe9fe2efad6bd45b59abc3ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:JSYIWMXDIK2B7W3JNPXT5JEZJH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tight contact structures on the Brieskorn spheres -\\Sigma(2,3,6n-1) and contact invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Jeremy Van Horn-Morris, Paolo Ghiggini","submitted_at":"2009-10-15T00:09:25Z","abstract_excerpt":"We compute the Ozsv\\'ath--Szab\\'o contact invariants for all tight contact structures on the manifolds -\\Sigma(2,3,6n-1)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.2752","kind":"arxiv","version":4},"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":"2026-05-18T03:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BpdpU6u4IJFFb9eeCAJh4xFKTg4EubVJQbIHUmEPzBnfG2ad1Tbivld3gVNfxtzuEp3soXfoew4Vbnza9fv0DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:22:49.911572Z"},"content_sha256":"fc49129c6fbf54ddb710321dbf6e84719fa5646ac1c2fa76ee1fc4eaccea44f0","schema_version":"1.0","event_id":"sha256:fc49129c6fbf54ddb710321dbf6e84719fa5646ac1c2fa76ee1fc4eaccea44f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JSYIWMXDIK2B7W3JNPXT5JEZJH/bundle.json","state_url":"https://pith.science/pith/JSYIWMXDIK2B7W3JNPXT5JEZJH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JSYIWMXDIK2B7W3JNPXT5JEZJH/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":"2026-05-28T10:22:49Z","links":{"resolver":"https://pith.science/pith/JSYIWMXDIK2B7W3JNPXT5JEZJH","bundle":"https://pith.science/pith/JSYIWMXDIK2B7W3JNPXT5JEZJH/bundle.json","state":"https://pith.science/pith/JSYIWMXDIK2B7W3JNPXT5JEZJH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JSYIWMXDIK2B7W3JNPXT5JEZJH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:JSYIWMXDIK2B7W3JNPXT5JEZJH","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":"e29121ca607ca3506be6ad68b41a40ac1a6d657d88ec68e467731a2a3c6cd718","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-10-15T00:09:25Z","title_canon_sha256":"170d402e0ec07319bdc8e0b5e7e45f4b2ab0e5ee0a77974346599b9d7fe60ee7"},"schema_version":"1.0","source":{"id":"0910.2752","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.2752","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"0910.2752v4","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.2752","created_at":"2026-05-18T03:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"JSYIWMXDIK2B","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"JSYIWMXDIK2B7W3J","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"JSYIWMXD","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:fc49129c6fbf54ddb710321dbf6e84719fa5646ac1c2fa76ee1fc4eaccea44f0","target":"graph","created_at":"2026-05-18T03:03:55Z","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 compute the Ozsv\\'ath--Szab\\'o contact invariants for all tight contact structures on the manifolds -\\Sigma(2,3,6n-1).","authors_text":"Jeremy Van Horn-Morris, Paolo Ghiggini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-10-15T00:09:25Z","title":"Tight contact structures on the Brieskorn spheres -\\Sigma(2,3,6n-1) and contact invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.2752","kind":"arxiv","version":4},"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:c6ed8a0e19ab5a6e8dc6dbe1c2eabd4c45f09329fe9fe2efad6bd45b59abc3ce","target":"record","created_at":"2026-05-18T03:03:55Z","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":"e29121ca607ca3506be6ad68b41a40ac1a6d657d88ec68e467731a2a3c6cd718","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2009-10-15T00:09:25Z","title_canon_sha256":"170d402e0ec07319bdc8e0b5e7e45f4b2ab0e5ee0a77974346599b9d7fe60ee7"},"schema_version":"1.0","source":{"id":"0910.2752","kind":"arxiv","version":4}},"canonical_sha256":"4cb08b32e342b41fdb696bef3ea49949d48933554852f06863233a0b85e17768","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cb08b32e342b41fdb696bef3ea49949d48933554852f06863233a0b85e17768","first_computed_at":"2026-05-18T03:03:55.523586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:55.523586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Ztqz6it0IQy+hMC68s06Zjtd3VGj72SjWs+Cz453ycSEQb1+1y9A5kMaEsRlZ98XY81gKxCULEgLNG8oVmnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:55.524210Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.2752","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6ed8a0e19ab5a6e8dc6dbe1c2eabd4c45f09329fe9fe2efad6bd45b59abc3ce","sha256:fc49129c6fbf54ddb710321dbf6e84719fa5646ac1c2fa76ee1fc4eaccea44f0"],"state_sha256":"2618bf514e5ccedfc0e0e550b54e28bac933bf077680db556ac3d9862a90e5c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1/eviyatGD9CdaVFCWMnQBRgXvHYlC3gv5Xldb1SQZ0WNybqwKxUDSL4bWSArojwN7e6WCuhAq/b8uhNhEjQCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:22:49.914332Z","bundle_sha256":"d8c8d90cfd02c660f2685cef24e21b487822043a0de517848929995ff4db7506"}}