{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:J36BYFLD4TPGRDDO365NEUF6RQ","short_pith_number":"pith:J36BYFLD","canonical_record":{"source":{"id":"1401.0269","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-01-01T09:52:19Z","cross_cats_sorted":[],"title_canon_sha256":"284e4b5c122966ddd290b5de2c170ef2dfc28c14a2cdea8e8c434b9ed25ad8f5","abstract_canon_sha256":"0ab29cf9cc583da8df35902fed3c985edb1f20f356116bc4c7ce2aea97aa11c5"},"schema_version":"1.0"},"canonical_sha256":"4efc1c1563e4de688c6edfbad250be8c3572877ab7f67ce0de0f38b1d41f4d87","source":{"kind":"arxiv","id":"1401.0269","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0269","created_at":"2026-05-18T02:43:24Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0269v2","created_at":"2026-05-18T02:43:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0269","created_at":"2026-05-18T02:43:24Z"},{"alias_kind":"pith_short_12","alias_value":"J36BYFLD4TPG","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J36BYFLD4TPGRDDO","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J36BYFLD","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:J36BYFLD4TPGRDDO365NEUF6RQ","target":"record","payload":{"canonical_record":{"source":{"id":"1401.0269","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-01-01T09:52:19Z","cross_cats_sorted":[],"title_canon_sha256":"284e4b5c122966ddd290b5de2c170ef2dfc28c14a2cdea8e8c434b9ed25ad8f5","abstract_canon_sha256":"0ab29cf9cc583da8df35902fed3c985edb1f20f356116bc4c7ce2aea97aa11c5"},"schema_version":"1.0"},"canonical_sha256":"4efc1c1563e4de688c6edfbad250be8c3572877ab7f67ce0de0f38b1d41f4d87","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:24.168504Z","signature_b64":"zir7surKFqNmrXl8PfsrwfQRGnaeFmS/zV40+hYVHFuQwuvqmGMx5VCHeSYLYoqRnfi3nLF+UbUxGGosUrQ9DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4efc1c1563e4de688c6edfbad250be8c3572877ab7f67ce0de0f38b1d41f4d87","last_reissued_at":"2026-05-18T02:43:24.168015Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:24.168015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.0269","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":"2026-05-18T02:43:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xD1hRJD50Jacn4wVq+Ktl4IZwjuqJc2M1WnU/5hSgmiprlp1H0ZlhwT3fgKeWRn+19yihOOOcomXS/7LgfycDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:09:24.898778Z"},"content_sha256":"96283f647cdf61627a66e2e0da4610104554d0317a0805460dbbdca395c3361b","schema_version":"1.0","event_id":"sha256:96283f647cdf61627a66e2e0da4610104554d0317a0805460dbbdca395c3361b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:J36BYFLD4TPGRDDO365NEUF6RQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A symplectic prolegomenon","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Ivan Smith","submitted_at":"2014-01-01T09:52:19Z","abstract_excerpt":"A symplectic manifold gives rise to a triangulated A-infinity category, the derived Fukaya category, which encodes information on Lagrangian submanifolds and dynamics as probed by Floer cohomology. This survey aims to give some insight into what the Fukaya category is, where it comes from and what symplectic topologists want to do with it."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0269","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":"2026-05-18T02:43:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DamtyHRUi8kKo2/sAxSRENGeVkLXMu+gvwOx1RtZvX0TjxePS1Q90n3oMUPqc9lXSdnpwlDx+Dy2HK3djymRAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:09:24.899647Z"},"content_sha256":"571fd626282b043e84d757721a294d75db1e79a20319d4ae84f5c2f8bf5651a0","schema_version":"1.0","event_id":"sha256:571fd626282b043e84d757721a294d75db1e79a20319d4ae84f5c2f8bf5651a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J36BYFLD4TPGRDDO365NEUF6RQ/bundle.json","state_url":"https://pith.science/pith/J36BYFLD4TPGRDDO365NEUF6RQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J36BYFLD4TPGRDDO365NEUF6RQ/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":"2026-06-09T10:09:24Z","links":{"resolver":"https://pith.science/pith/J36BYFLD4TPGRDDO365NEUF6RQ","bundle":"https://pith.science/pith/J36BYFLD4TPGRDDO365NEUF6RQ/bundle.json","state":"https://pith.science/pith/J36BYFLD4TPGRDDO365NEUF6RQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J36BYFLD4TPGRDDO365NEUF6RQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:J36BYFLD4TPGRDDO365NEUF6RQ","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":"0ab29cf9cc583da8df35902fed3c985edb1f20f356116bc4c7ce2aea97aa11c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-01-01T09:52:19Z","title_canon_sha256":"284e4b5c122966ddd290b5de2c170ef2dfc28c14a2cdea8e8c434b9ed25ad8f5"},"schema_version":"1.0","source":{"id":"1401.0269","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0269","created_at":"2026-05-18T02:43:24Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0269v2","created_at":"2026-05-18T02:43:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0269","created_at":"2026-05-18T02:43:24Z"},{"alias_kind":"pith_short_12","alias_value":"J36BYFLD4TPG","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J36BYFLD4TPGRDDO","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J36BYFLD","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:571fd626282b043e84d757721a294d75db1e79a20319d4ae84f5c2f8bf5651a0","target":"graph","created_at":"2026-05-18T02:43:24Z","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":"A symplectic manifold gives rise to a triangulated A-infinity category, the derived Fukaya category, which encodes information on Lagrangian submanifolds and dynamics as probed by Floer cohomology. This survey aims to give some insight into what the Fukaya category is, where it comes from and what symplectic topologists want to do with it.","authors_text":"Ivan Smith","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-01-01T09:52:19Z","title":"A symplectic prolegomenon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0269","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":"sha256:96283f647cdf61627a66e2e0da4610104554d0317a0805460dbbdca395c3361b","target":"record","created_at":"2026-05-18T02:43:24Z","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":"0ab29cf9cc583da8df35902fed3c985edb1f20f356116bc4c7ce2aea97aa11c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-01-01T09:52:19Z","title_canon_sha256":"284e4b5c122966ddd290b5de2c170ef2dfc28c14a2cdea8e8c434b9ed25ad8f5"},"schema_version":"1.0","source":{"id":"1401.0269","kind":"arxiv","version":2}},"canonical_sha256":"4efc1c1563e4de688c6edfbad250be8c3572877ab7f67ce0de0f38b1d41f4d87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4efc1c1563e4de688c6edfbad250be8c3572877ab7f67ce0de0f38b1d41f4d87","first_computed_at":"2026-05-18T02:43:24.168015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:24.168015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zir7surKFqNmrXl8PfsrwfQRGnaeFmS/zV40+hYVHFuQwuvqmGMx5VCHeSYLYoqRnfi3nLF+UbUxGGosUrQ9DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:24.168504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0269","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96283f647cdf61627a66e2e0da4610104554d0317a0805460dbbdca395c3361b","sha256:571fd626282b043e84d757721a294d75db1e79a20319d4ae84f5c2f8bf5651a0"],"state_sha256":"201b999d760a2055e8f7232ce56452894294b9af14b3add97b2db5485fe1bb1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"peFS7jCLwwT/ddNOXv5kI9DTUNa8QzRFOpEGN/8bHGjyfkeYnbFstJRUTfoCRBx/tnQjrmXNIZxeB49flb6pBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T10:09:24.903498Z","bundle_sha256":"a83378ed27088ae704ca8ed480295a6c7d9ecc12d36e934346f69b7893a1bafa"}}