{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WGWXWNWSQFT7BFIMI5XN43IWOS","short_pith_number":"pith:WGWXWNWS","canonical_record":{"source":{"id":"1603.05431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-03-17T11:20:56Z","cross_cats_sorted":[],"title_canon_sha256":"b2602be7dd047e3e4d347e05bd3afc0398955a5695abd26853149a5db97cbf38","abstract_canon_sha256":"531edf2552b494c08703c738dc1070819a26318954e618668391743c330a1cac"},"schema_version":"1.0"},"canonical_sha256":"b1ad7b36d28167f0950c476ede6d1674957077fa6c159bba03b66d0c79ee5c83","source":{"kind":"arxiv","id":"1603.05431","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05431","created_at":"2026-05-18T01:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05431v1","created_at":"2026-05-18T01:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05431","created_at":"2026-05-18T01:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"WGWXWNWSQFT7","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WGWXWNWSQFT7BFIM","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WGWXWNWS","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WGWXWNWSQFT7BFIMI5XN43IWOS","target":"record","payload":{"canonical_record":{"source":{"id":"1603.05431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-03-17T11:20:56Z","cross_cats_sorted":[],"title_canon_sha256":"b2602be7dd047e3e4d347e05bd3afc0398955a5695abd26853149a5db97cbf38","abstract_canon_sha256":"531edf2552b494c08703c738dc1070819a26318954e618668391743c330a1cac"},"schema_version":"1.0"},"canonical_sha256":"b1ad7b36d28167f0950c476ede6d1674957077fa6c159bba03b66d0c79ee5c83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:56.357528Z","signature_b64":"9Udqa0OTFaHq21bskiB+MKLs1ElabS/2zOTFuz+KXstaaaHmMwrNXvMFEKzJKQ9+N4DPnx+xaFjC3zmQvarkBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1ad7b36d28167f0950c476ede6d1674957077fa6c159bba03b66d0c79ee5c83","last_reissued_at":"2026-05-18T01:18:56.357089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:56.357089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.05431","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":"2026-05-18T01:18:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dREc4cfE8+i8eLQ++qOUrQzAP3JmTRnm5cf/8j6nbqw5Yy0rOaKQVbDjQYgz7tJZLAbFSODqJqnjIJhXp4oyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:00:33.525188Z"},"content_sha256":"35f20a6b998f5820352ee8969f61f72e193956828de37525e8be4b1fae4a89ea","schema_version":"1.0","event_id":"sha256:35f20a6b998f5820352ee8969f61f72e193956828de37525e8be4b1fae4a89ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WGWXWNWSQFT7BFIMI5XN43IWOS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simple Homotopy Equivalence of Nearby Lagrangians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Mohammed Abouzaid, Thomas Kragh","submitted_at":"2016-03-17T11:20:56Z","abstract_excerpt":"Given a closed exact Lagrangian in the cotangent bundle of a closed smooth manifold, we prove that the projection to the base is a simple homotopy equivalence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05431","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":"2026-05-18T01:18:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5pbvx9/4cqR2loIAzl97Okz08C4cFftpDGxR98ERd2E6z071cQOh89OqE635R6YWe4ggnPY5SQG4brTtOZ65Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:00:33.525550Z"},"content_sha256":"8268f3acd739e132704455556ea9a9844f7de3c937486bf39d8a15135bb3e0a3","schema_version":"1.0","event_id":"sha256:8268f3acd739e132704455556ea9a9844f7de3c937486bf39d8a15135bb3e0a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WGWXWNWSQFT7BFIMI5XN43IWOS/bundle.json","state_url":"https://pith.science/pith/WGWXWNWSQFT7BFIMI5XN43IWOS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WGWXWNWSQFT7BFIMI5XN43IWOS/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":"2026-06-05T10:00:33Z","links":{"resolver":"https://pith.science/pith/WGWXWNWSQFT7BFIMI5XN43IWOS","bundle":"https://pith.science/pith/WGWXWNWSQFT7BFIMI5XN43IWOS/bundle.json","state":"https://pith.science/pith/WGWXWNWSQFT7BFIMI5XN43IWOS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WGWXWNWSQFT7BFIMI5XN43IWOS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WGWXWNWSQFT7BFIMI5XN43IWOS","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":"531edf2552b494c08703c738dc1070819a26318954e618668391743c330a1cac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-03-17T11:20:56Z","title_canon_sha256":"b2602be7dd047e3e4d347e05bd3afc0398955a5695abd26853149a5db97cbf38"},"schema_version":"1.0","source":{"id":"1603.05431","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05431","created_at":"2026-05-18T01:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05431v1","created_at":"2026-05-18T01:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05431","created_at":"2026-05-18T01:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"WGWXWNWSQFT7","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WGWXWNWSQFT7BFIM","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WGWXWNWS","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:8268f3acd739e132704455556ea9a9844f7de3c937486bf39d8a15135bb3e0a3","target":"graph","created_at":"2026-05-18T01:18:56Z","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":"Given a closed exact Lagrangian in the cotangent bundle of a closed smooth manifold, we prove that the projection to the base is a simple homotopy equivalence.","authors_text":"Mohammed Abouzaid, Thomas Kragh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-03-17T11:20:56Z","title":"Simple Homotopy Equivalence of Nearby Lagrangians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05431","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":"sha256:35f20a6b998f5820352ee8969f61f72e193956828de37525e8be4b1fae4a89ea","target":"record","created_at":"2026-05-18T01:18:56Z","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":"531edf2552b494c08703c738dc1070819a26318954e618668391743c330a1cac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2016-03-17T11:20:56Z","title_canon_sha256":"b2602be7dd047e3e4d347e05bd3afc0398955a5695abd26853149a5db97cbf38"},"schema_version":"1.0","source":{"id":"1603.05431","kind":"arxiv","version":1}},"canonical_sha256":"b1ad7b36d28167f0950c476ede6d1674957077fa6c159bba03b66d0c79ee5c83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1ad7b36d28167f0950c476ede6d1674957077fa6c159bba03b66d0c79ee5c83","first_computed_at":"2026-05-18T01:18:56.357089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:56.357089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9Udqa0OTFaHq21bskiB+MKLs1ElabS/2zOTFuz+KXstaaaHmMwrNXvMFEKzJKQ9+N4DPnx+xaFjC3zmQvarkBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:56.357528Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05431","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35f20a6b998f5820352ee8969f61f72e193956828de37525e8be4b1fae4a89ea","sha256:8268f3acd739e132704455556ea9a9844f7de3c937486bf39d8a15135bb3e0a3"],"state_sha256":"59cb7820964e31f64b89cbac97b5c1a84f2c1960d5d40c6804b17d4750529f0a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XcCzLTKeknfQa8742tHeAxz8f0fHCho6y6XGmdjRaC6hvoG7NsRJba5x9AHeilPbnvlS0VGkdwZDEFoG2ShyBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:00:33.527493Z","bundle_sha256":"608c7b705562cef145c33e11ad68b301fff3998022e05fdd35f38172cdf63586"}}