{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:QGCOQL2XGBZGS3LMSMQY25KEWY","short_pith_number":"pith:QGCOQL2X","canonical_record":{"source":{"id":"1311.5535","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-11-21T20:12:10Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"f09844f66e35fc9482b8bc05dfce232cd94d7f6db783b3ee7f091f0f8d19e661","abstract_canon_sha256":"a29752edcb4b419fbfc171df124cdd705e6cfecd207e79e7314726323730732a"},"schema_version":"1.0"},"canonical_sha256":"8184e82f573072696d6c93218d7544b601532a67080ed683bec1ae50b6dce985","source":{"kind":"arxiv","id":"1311.5535","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5535","created_at":"2026-05-18T01:12:50Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5535v2","created_at":"2026-05-18T01:12:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5535","created_at":"2026-05-18T01:12:50Z"},{"alias_kind":"pith_short_12","alias_value":"QGCOQL2XGBZG","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QGCOQL2XGBZGS3LM","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QGCOQL2X","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:QGCOQL2XGBZGS3LMSMQY25KEWY","target":"record","payload":{"canonical_record":{"source":{"id":"1311.5535","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-11-21T20:12:10Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"f09844f66e35fc9482b8bc05dfce232cd94d7f6db783b3ee7f091f0f8d19e661","abstract_canon_sha256":"a29752edcb4b419fbfc171df124cdd705e6cfecd207e79e7314726323730732a"},"schema_version":"1.0"},"canonical_sha256":"8184e82f573072696d6c93218d7544b601532a67080ed683bec1ae50b6dce985","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:50.223348Z","signature_b64":"PfrKK2HvD5NPF4OyxCvnmDuDQVwCw032bS5vkYU//5ftvN1BvW9itCmky2/9LM4Gz26mIyGCvHf8d+H/c1IGBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8184e82f573072696d6c93218d7544b601532a67080ed683bec1ae50b6dce985","last_reissued_at":"2026-05-18T01:12:50.222992Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:50.222992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.5535","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":"2026-05-18T01:12:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hFva6F4H0Z+xgMaBWEEQdeqULKQMsg6k1QWnLnOB0/fATqvxRBheFs2KPQGT7UwhLSkozY8n64lccGoHCRonCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:37:57.354005Z"},"content_sha256":"9edec8a85dccff1ecd0e7acf0860cab232a8eba83363449527ac558021c75bdb","schema_version":"1.0","event_id":"sha256:9edec8a85dccff1ecd0e7acf0860cab232a8eba83363449527ac558021c75bdb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:QGCOQL2XGBZGS3LMSMQY25KEWY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The symplectic arc algebra is formal","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Ivan Smith, Mohammed Abouzaid","submitted_at":"2013-11-21T20:12:10Z","abstract_excerpt":"We prove a formality theorem for the Fukaya categories of the symplectic manifolds underlying symplectic Khovanov cohomology, over fields of characteristic zero. The key ingredient is the construction of a degree one Hochschild cohomology class on a Floer A-infinity algebra associated to the (k,k)-nilpotent slice Y, obtained by counting holomorphic discs which satisfy a suitable conormal condition at infinity in a partial compactification of Y. The partial compactification is obtained as the Hilbert scheme of a partial compactification of a Milnor fibre. A sequel to this paper will prove forma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5535","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":"2026-05-18T01:12:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B0N1PaRKNgCNAMAaA8DuLu9BYaWsKn83Zwf0PhO7riz1O8sXtkNXBpHOM8UTlYfmyK945K0I5v45sXsmOWh1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:37:57.354370Z"},"content_sha256":"37a1a8adf4b1cdc8b54f6c6278747dd1a29002b03dd8eb850a15c97613575225","schema_version":"1.0","event_id":"sha256:37a1a8adf4b1cdc8b54f6c6278747dd1a29002b03dd8eb850a15c97613575225"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QGCOQL2XGBZGS3LMSMQY25KEWY/bundle.json","state_url":"https://pith.science/pith/QGCOQL2XGBZGS3LMSMQY25KEWY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QGCOQL2XGBZGS3LMSMQY25KEWY/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":"2026-06-05T16:37:57Z","links":{"resolver":"https://pith.science/pith/QGCOQL2XGBZGS3LMSMQY25KEWY","bundle":"https://pith.science/pith/QGCOQL2XGBZGS3LMSMQY25KEWY/bundle.json","state":"https://pith.science/pith/QGCOQL2XGBZGS3LMSMQY25KEWY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QGCOQL2XGBZGS3LMSMQY25KEWY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QGCOQL2XGBZGS3LMSMQY25KEWY","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":"a29752edcb4b419fbfc171df124cdd705e6cfecd207e79e7314726323730732a","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-11-21T20:12:10Z","title_canon_sha256":"f09844f66e35fc9482b8bc05dfce232cd94d7f6db783b3ee7f091f0f8d19e661"},"schema_version":"1.0","source":{"id":"1311.5535","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.5535","created_at":"2026-05-18T01:12:50Z"},{"alias_kind":"arxiv_version","alias_value":"1311.5535v2","created_at":"2026-05-18T01:12:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.5535","created_at":"2026-05-18T01:12:50Z"},{"alias_kind":"pith_short_12","alias_value":"QGCOQL2XGBZG","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QGCOQL2XGBZGS3LM","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QGCOQL2X","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:37a1a8adf4b1cdc8b54f6c6278747dd1a29002b03dd8eb850a15c97613575225","target":"graph","created_at":"2026-05-18T01:12:50Z","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 a formality theorem for the Fukaya categories of the symplectic manifolds underlying symplectic Khovanov cohomology, over fields of characteristic zero. The key ingredient is the construction of a degree one Hochschild cohomology class on a Floer A-infinity algebra associated to the (k,k)-nilpotent slice Y, obtained by counting holomorphic discs which satisfy a suitable conormal condition at infinity in a partial compactification of Y. The partial compactification is obtained as the Hilbert scheme of a partial compactification of a Milnor fibre. A sequel to this paper will prove forma","authors_text":"Ivan Smith, Mohammed Abouzaid","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-11-21T20:12:10Z","title":"The symplectic arc algebra is formal"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.5535","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":"sha256:9edec8a85dccff1ecd0e7acf0860cab232a8eba83363449527ac558021c75bdb","target":"record","created_at":"2026-05-18T01:12:50Z","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":"a29752edcb4b419fbfc171df124cdd705e6cfecd207e79e7314726323730732a","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-11-21T20:12:10Z","title_canon_sha256":"f09844f66e35fc9482b8bc05dfce232cd94d7f6db783b3ee7f091f0f8d19e661"},"schema_version":"1.0","source":{"id":"1311.5535","kind":"arxiv","version":2}},"canonical_sha256":"8184e82f573072696d6c93218d7544b601532a67080ed683bec1ae50b6dce985","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8184e82f573072696d6c93218d7544b601532a67080ed683bec1ae50b6dce985","first_computed_at":"2026-05-18T01:12:50.222992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:50.222992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PfrKK2HvD5NPF4OyxCvnmDuDQVwCw032bS5vkYU//5ftvN1BvW9itCmky2/9LM4Gz26mIyGCvHf8d+H/c1IGBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:50.223348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.5535","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9edec8a85dccff1ecd0e7acf0860cab232a8eba83363449527ac558021c75bdb","sha256:37a1a8adf4b1cdc8b54f6c6278747dd1a29002b03dd8eb850a15c97613575225"],"state_sha256":"13b5f1f4eefaef2ec1598ff139a556c0eee85a1f842c13ff81b4ae8158303dc7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KAgkp5bz5SFLXtlnBJzXflB3I7LzyAyEzrB2TaSZzw1+G3zuT/oi9JzwmdwG8DcZnb5PFtJMcTcqexP+fdntAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:37:57.356401Z","bundle_sha256":"4b15fc9fbc5a093ccec97739b73ebc7ba5f37357b58fea5d5f1c4c1a0343623b"}}