{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:WY77XNRKAPVIRDQJS7MIXBGZ2Z","short_pith_number":"pith:WY77XNRK","canonical_record":{"source":{"id":"1411.5016","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-18T19:49:49Z","cross_cats_sorted":["math.AP","math.DS"],"title_canon_sha256":"e0d015c1d0227ee5608208ad7d531423959251717863d719dbf6f968a3b0e2d7","abstract_canon_sha256":"9ed082c2f52e8ef52ca4c64ac1f070ee30cece2616d5fdbf66981c2e353452fc"},"schema_version":"1.0"},"canonical_sha256":"b63ffbb62a03ea888e0997d88b84d9d661e7d3eb370e8fcc73576ade3a2af253","source":{"kind":"arxiv","id":"1411.5016","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.5016","created_at":"2026-05-18T01:01:49Z"},{"alias_kind":"arxiv_version","alias_value":"1411.5016v2","created_at":"2026-05-18T01:01:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5016","created_at":"2026-05-18T01:01:49Z"},{"alias_kind":"pith_short_12","alias_value":"WY77XNRKAPVI","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WY77XNRKAPVIRDQJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WY77XNRK","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:WY77XNRKAPVIRDQJS7MIXBGZ2Z","target":"record","payload":{"canonical_record":{"source":{"id":"1411.5016","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-18T19:49:49Z","cross_cats_sorted":["math.AP","math.DS"],"title_canon_sha256":"e0d015c1d0227ee5608208ad7d531423959251717863d719dbf6f968a3b0e2d7","abstract_canon_sha256":"9ed082c2f52e8ef52ca4c64ac1f070ee30cece2616d5fdbf66981c2e353452fc"},"schema_version":"1.0"},"canonical_sha256":"b63ffbb62a03ea888e0997d88b84d9d661e7d3eb370e8fcc73576ade3a2af253","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:49.581932Z","signature_b64":"hzoENZudez6ZJwsK+QDuBM5oPBoFRn+bq4Be8EObNCqQuYIDSMNveTr7b3sb7zuQ1o1vLIgxVBorS6iqtloFAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b63ffbb62a03ea888e0997d88b84d9d661e7d3eb370e8fcc73576ade3a2af253","last_reissued_at":"2026-05-18T01:01:49.581432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:49.581432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.5016","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":"2026-05-18T01:01:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cxMyE/oCW3BWX2YbZqNwju5VXiQ6U1rstgFtk6if6zQRHschcTAsIxiiOJdNU8P/n/dRlzFnjZse+56fYVhoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:03:32.568539Z"},"content_sha256":"0d37c9c38f00142c3d10bcb586ae627848adf98375774afe95d48e3eeae5cf7b","schema_version":"1.0","event_id":"sha256:0d37c9c38f00142c3d10bcb586ae627848adf98375774afe95d48e3eeae5cf7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:WY77XNRKAPVIRDQJS7MIXBGZ2Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polyfolds, Cobordisms, and the strong Weinstein conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DS"],"primary_cat":"math.SG","authors_text":"Kai Zehmisch, Stefan Suhr","submitted_at":"2014-11-18T19:49:49Z","abstract_excerpt":"We prove the strong Weinstein conjecture for closed contact manifolds that appear as the concave boundary of a symplectic cobordism admitting an essential local foliation by holomorphic spheres."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5016","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":"2026-05-18T01:01:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YgJvMLRrun0YE+UyI/gUGAZtJpzS/l6h3z8TPihxltxn7dthlApu9cCfiknQzP1MKsnzyXKx+eV7fNl3zhu5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T21:03:32.569176Z"},"content_sha256":"cd3f9c57c6fe3f256dc065ba30a55f9867d2e7f4a13811dba8d0a985b6b2208b","schema_version":"1.0","event_id":"sha256:cd3f9c57c6fe3f256dc065ba30a55f9867d2e7f4a13811dba8d0a985b6b2208b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WY77XNRKAPVIRDQJS7MIXBGZ2Z/bundle.json","state_url":"https://pith.science/pith/WY77XNRKAPVIRDQJS7MIXBGZ2Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WY77XNRKAPVIRDQJS7MIXBGZ2Z/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":"2026-05-28T21:03:32Z","links":{"resolver":"https://pith.science/pith/WY77XNRKAPVIRDQJS7MIXBGZ2Z","bundle":"https://pith.science/pith/WY77XNRKAPVIRDQJS7MIXBGZ2Z/bundle.json","state":"https://pith.science/pith/WY77XNRKAPVIRDQJS7MIXBGZ2Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WY77XNRKAPVIRDQJS7MIXBGZ2Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WY77XNRKAPVIRDQJS7MIXBGZ2Z","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":"9ed082c2f52e8ef52ca4c64ac1f070ee30cece2616d5fdbf66981c2e353452fc","cross_cats_sorted":["math.AP","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-18T19:49:49Z","title_canon_sha256":"e0d015c1d0227ee5608208ad7d531423959251717863d719dbf6f968a3b0e2d7"},"schema_version":"1.0","source":{"id":"1411.5016","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.5016","created_at":"2026-05-18T01:01:49Z"},{"alias_kind":"arxiv_version","alias_value":"1411.5016v2","created_at":"2026-05-18T01:01:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5016","created_at":"2026-05-18T01:01:49Z"},{"alias_kind":"pith_short_12","alias_value":"WY77XNRKAPVI","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WY77XNRKAPVIRDQJ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WY77XNRK","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:cd3f9c57c6fe3f256dc065ba30a55f9867d2e7f4a13811dba8d0a985b6b2208b","target":"graph","created_at":"2026-05-18T01:01:49Z","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 the strong Weinstein conjecture for closed contact manifolds that appear as the concave boundary of a symplectic cobordism admitting an essential local foliation by holomorphic spheres.","authors_text":"Kai Zehmisch, Stefan Suhr","cross_cats":["math.AP","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-18T19:49:49Z","title":"Polyfolds, Cobordisms, and the strong Weinstein conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5016","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":"sha256:0d37c9c38f00142c3d10bcb586ae627848adf98375774afe95d48e3eeae5cf7b","target":"record","created_at":"2026-05-18T01:01:49Z","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":"9ed082c2f52e8ef52ca4c64ac1f070ee30cece2616d5fdbf66981c2e353452fc","cross_cats_sorted":["math.AP","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-11-18T19:49:49Z","title_canon_sha256":"e0d015c1d0227ee5608208ad7d531423959251717863d719dbf6f968a3b0e2d7"},"schema_version":"1.0","source":{"id":"1411.5016","kind":"arxiv","version":2}},"canonical_sha256":"b63ffbb62a03ea888e0997d88b84d9d661e7d3eb370e8fcc73576ade3a2af253","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b63ffbb62a03ea888e0997d88b84d9d661e7d3eb370e8fcc73576ade3a2af253","first_computed_at":"2026-05-18T01:01:49.581432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:49.581432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hzoENZudez6ZJwsK+QDuBM5oPBoFRn+bq4Be8EObNCqQuYIDSMNveTr7b3sb7zuQ1o1vLIgxVBorS6iqtloFAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:49.581932Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.5016","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d37c9c38f00142c3d10bcb586ae627848adf98375774afe95d48e3eeae5cf7b","sha256:cd3f9c57c6fe3f256dc065ba30a55f9867d2e7f4a13811dba8d0a985b6b2208b"],"state_sha256":"59c52f62157d5919af8d56376e23ae454d1ea2d290b546e5b108227aac4e72ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kVBEVIGRtQIq3t+Jx2f1d95qbQJ4zhGietM8XOj8dGXam2VDGxJrEvDhfLHC8/0qvNicVw12M2PZ5F3RnU65BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T21:03:32.573082Z","bundle_sha256":"11fc45e434e6a3e268231922ee634de91009929e552e48629ee3dc72e983f044"}}