{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:FZBH7FSILZTWGJSOSYIVXP54MZ","short_pith_number":"pith:FZBH7FSI","canonical_record":{"source":{"id":"0905.1370","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2009-05-09T03:43:37Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"7900cad7f9fb07694a5d645fd510841de0d91dc9adb2cbc4137743f3c703e447","abstract_canon_sha256":"fdf8c1881d0f8f609a7548f6012f16dad50de4cb9c26d5ef584ca0eb457832cb"},"schema_version":"1.0"},"canonical_sha256":"2e427f96485e6763264e96115bbfbc667e911ba31cecd125ed121a91e2bac654","source":{"kind":"arxiv","id":"0905.1370","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1370","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1370v2","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1370","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"FZBH7FSILZTW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"FZBH7FSILZTWGJSO","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"FZBH7FSI","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:FZBH7FSILZTWGJSOSYIVXP54MZ","target":"record","payload":{"canonical_record":{"source":{"id":"0905.1370","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2009-05-09T03:43:37Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"7900cad7f9fb07694a5d645fd510841de0d91dc9adb2cbc4137743f3c703e447","abstract_canon_sha256":"fdf8c1881d0f8f609a7548f6012f16dad50de4cb9c26d5ef584ca0eb457832cb"},"schema_version":"1.0"},"canonical_sha256":"2e427f96485e6763264e96115bbfbc667e911ba31cecd125ed121a91e2bac654","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:18.853843Z","signature_b64":"0bthEr33dCDPjBEVKS204ylb+B8gCTxJWHep33Q+W8J8lJB8qQ5UjuWV7LozFysJ5WrOeKojFAmD63WVnCciAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e427f96485e6763264e96115bbfbc667e911ba31cecd125ed121a91e2bac654","last_reissued_at":"2026-05-18T02:38:18.853204Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:18.853204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.1370","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":"2026-05-18T02:38:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+l2TZCFelNHf/6/5YmcjP/QXG2HJym6C1P76rAGoa6ySuTd4Vb1EAqs5k/aEjCFk1QdUz9rOG+3uJXPHlszpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:24:04.197609Z"},"content_sha256":"6be8cbb6fc575001e811bf653f9aab30ad9a5e8cbdfc06a0f4a24667bc2cc675","schema_version":"1.0","event_id":"sha256:6be8cbb6fc575001e811bf653f9aab30ad9a5e8cbdfc06a0f4a24667bc2cc675"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:FZBH7FSILZTWGJSOSYIVXP54MZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quilted Floer Cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Chris Woodward, Katrin Wehrheim","submitted_at":"2009-05-09T03:43:37Z","abstract_excerpt":"We generalize Lagrangian Floer cohomology to sequences of Lagrangian correspondences. For sequences related by the geometric composition of Lagrangian correspondences we establish an isomorphism of the Floer cohomologies. We give applications to calculations of Floer cohomology, displaceability of Lagrangian correspondences, and transfer of displaceability under geometric composition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1370","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":"2026-05-18T02:38:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vroQVYCy4ttvvSdKQ5CR2AXbOLbR8yeC68liUD9hd2BYz0j8r2ZYr7MSPBptzq38cne7ld5DtGrXFFfXRzX4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:24:04.197953Z"},"content_sha256":"0b979ca499ca23e2b79af4c65a210b593063ae0535858b38d993528fd0b46f48","schema_version":"1.0","event_id":"sha256:0b979ca499ca23e2b79af4c65a210b593063ae0535858b38d993528fd0b46f48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FZBH7FSILZTWGJSOSYIVXP54MZ/bundle.json","state_url":"https://pith.science/pith/FZBH7FSILZTWGJSOSYIVXP54MZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FZBH7FSILZTWGJSOSYIVXP54MZ/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":"2026-05-28T17:24:04Z","links":{"resolver":"https://pith.science/pith/FZBH7FSILZTWGJSOSYIVXP54MZ","bundle":"https://pith.science/pith/FZBH7FSILZTWGJSOSYIVXP54MZ/bundle.json","state":"https://pith.science/pith/FZBH7FSILZTWGJSOSYIVXP54MZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FZBH7FSILZTWGJSOSYIVXP54MZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:FZBH7FSILZTWGJSOSYIVXP54MZ","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":"fdf8c1881d0f8f609a7548f6012f16dad50de4cb9c26d5ef584ca0eb457832cb","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2009-05-09T03:43:37Z","title_canon_sha256":"7900cad7f9fb07694a5d645fd510841de0d91dc9adb2cbc4137743f3c703e447"},"schema_version":"1.0","source":{"id":"0905.1370","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1370","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1370v2","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1370","created_at":"2026-05-18T02:38:18Z"},{"alias_kind":"pith_short_12","alias_value":"FZBH7FSILZTW","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"FZBH7FSILZTWGJSO","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"FZBH7FSI","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:0b979ca499ca23e2b79af4c65a210b593063ae0535858b38d993528fd0b46f48","target":"graph","created_at":"2026-05-18T02:38:18Z","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 generalize Lagrangian Floer cohomology to sequences of Lagrangian correspondences. For sequences related by the geometric composition of Lagrangian correspondences we establish an isomorphism of the Floer cohomologies. We give applications to calculations of Floer cohomology, displaceability of Lagrangian correspondences, and transfer of displaceability under geometric composition.","authors_text":"Chris Woodward, Katrin Wehrheim","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2009-05-09T03:43:37Z","title":"Quilted Floer Cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1370","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":"sha256:6be8cbb6fc575001e811bf653f9aab30ad9a5e8cbdfc06a0f4a24667bc2cc675","target":"record","created_at":"2026-05-18T02:38:18Z","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":"fdf8c1881d0f8f609a7548f6012f16dad50de4cb9c26d5ef584ca0eb457832cb","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2009-05-09T03:43:37Z","title_canon_sha256":"7900cad7f9fb07694a5d645fd510841de0d91dc9adb2cbc4137743f3c703e447"},"schema_version":"1.0","source":{"id":"0905.1370","kind":"arxiv","version":2}},"canonical_sha256":"2e427f96485e6763264e96115bbfbc667e911ba31cecd125ed121a91e2bac654","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e427f96485e6763264e96115bbfbc667e911ba31cecd125ed121a91e2bac654","first_computed_at":"2026-05-18T02:38:18.853204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:18.853204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0bthEr33dCDPjBEVKS204ylb+B8gCTxJWHep33Q+W8J8lJB8qQ5UjuWV7LozFysJ5WrOeKojFAmD63WVnCciAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:18.853843Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.1370","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6be8cbb6fc575001e811bf653f9aab30ad9a5e8cbdfc06a0f4a24667bc2cc675","sha256:0b979ca499ca23e2b79af4c65a210b593063ae0535858b38d993528fd0b46f48"],"state_sha256":"e2de1b53d93192616b225ab84c33766d5d7522e23a353e3f5e62ebecc9ff75d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NnZUdc25ifXnOL2ijdWK0PpXH4E1aE/YEGbBVUEjmo9lgfAG9JzmsUKCgvx4zlPlUj3XKc98odE2cpVSRSHCDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:24:04.200359Z","bundle_sha256":"72de4df78a8d65b5bbe88c9e384b3195f51896f2d480a27702010802298b8624"}}