{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:UJJ6FZWG6OHRQHGSF7RYQBAEF6","short_pith_number":"pith:UJJ6FZWG","canonical_record":{"source":{"id":"2408.09039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-08-16T22:27:53Z","cross_cats_sorted":[],"title_canon_sha256":"c95645068031e4d71e4d1dfb4fcd4c3e88ef10dbea67dd6e00fc9848302bd2e9","abstract_canon_sha256":"faad9d942eda70913d3500dc4baa4a7ef1434ee3eb1d50aa902b8071fc4cc869"},"schema_version":"1.0"},"canonical_sha256":"a253e2e6c6f38f181cd22fe38804042fb86528b0078869b65e7026e260aad763","source":{"kind":"arxiv","id":"2408.09039","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.09039","created_at":"2026-07-05T08:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"2408.09039v2","created_at":"2026-07-05T08:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.09039","created_at":"2026-07-05T08:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"UJJ6FZWG6OHR","created_at":"2026-07-05T08:57:24Z"},{"alias_kind":"pith_short_16","alias_value":"UJJ6FZWG6OHRQHGS","created_at":"2026-07-05T08:57:24Z"},{"alias_kind":"pith_short_8","alias_value":"UJJ6FZWG","created_at":"2026-07-05T08:57:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:UJJ6FZWG6OHRQHGSF7RYQBAEF6","target":"record","payload":{"canonical_record":{"source":{"id":"2408.09039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-08-16T22:27:53Z","cross_cats_sorted":[],"title_canon_sha256":"c95645068031e4d71e4d1dfb4fcd4c3e88ef10dbea67dd6e00fc9848302bd2e9","abstract_canon_sha256":"faad9d942eda70913d3500dc4baa4a7ef1434ee3eb1d50aa902b8071fc4cc869"},"schema_version":"1.0"},"canonical_sha256":"a253e2e6c6f38f181cd22fe38804042fb86528b0078869b65e7026e260aad763","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:57:24.049478Z","signature_b64":"rY1tJpgPjFxPnyynZA4Yh/FDlQSRgy9RpLFo17jQBSs1bUO2XQ8ODH98hrfw+pvNkYQAjPVL3o1wRttus2N9Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a253e2e6c6f38f181cd22fe38804042fb86528b0078869b65e7026e260aad763","last_reissued_at":"2026-07-05T08:57:24.049056Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:57:24.049056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.09039","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":"2026-07-05T08:57:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i7bm532Smo7gx54xdhvHG9DOfqAztuunEGO5ChRCmUtuRyKYkvUikOMl62INXpkOeJ+mz1pk13k5pZHd0zBhDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T01:19:57.691522Z"},"content_sha256":"bacf095fba7bbc622d1920db6f26d169d53e40c8081f338a8cbc8498d431bb02","schema_version":"1.0","event_id":"sha256:bacf095fba7bbc622d1920db6f26d169d53e40c8081f338a8cbc8498d431bb02"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:UJJ6FZWG6OHRQHGSF7RYQBAEF6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symplectic cohomology relative to a smooth anticanonical divisor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Daniel Pomerleano, Paul Seidel","submitted_at":"2024-08-16T22:27:53Z","abstract_excerpt":"For a monotone symplectic manifold and a smooth anticanonical divisor, there is a formal deformation of the symplectic cohomology of the divisor complement, defined by allowing Floer cylinders to intersect the divisor. We compute this deformed symplectic cohomology, in terms of the ordinary cohomology of the manifold and divisor; and also describe some additional structures that it carries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.09039","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2408.09039/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:57:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JI6bmnLeoHjyo735o+GT88MPGivV5ehDMGq3vthi8iXiF4rNKQF15sOS3RdqelCrIYPCzFHEGWUDQWmeRmfAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T01:19:57.691907Z"},"content_sha256":"7d0cab75ad34c3322b10fa22465a50c58d8435a5df60a2944cc37f1c05dc972f","schema_version":"1.0","event_id":"sha256:7d0cab75ad34c3322b10fa22465a50c58d8435a5df60a2944cc37f1c05dc972f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UJJ6FZWG6OHRQHGSF7RYQBAEF6/bundle.json","state_url":"https://pith.science/pith/UJJ6FZWG6OHRQHGSF7RYQBAEF6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UJJ6FZWG6OHRQHGSF7RYQBAEF6/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":"2026-08-13T01:19:57Z","links":{"resolver":"https://pith.science/pith/UJJ6FZWG6OHRQHGSF7RYQBAEF6","bundle":"https://pith.science/pith/UJJ6FZWG6OHRQHGSF7RYQBAEF6/bundle.json","state":"https://pith.science/pith/UJJ6FZWG6OHRQHGSF7RYQBAEF6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UJJ6FZWG6OHRQHGSF7RYQBAEF6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:UJJ6FZWG6OHRQHGSF7RYQBAEF6","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":"faad9d942eda70913d3500dc4baa4a7ef1434ee3eb1d50aa902b8071fc4cc869","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-08-16T22:27:53Z","title_canon_sha256":"c95645068031e4d71e4d1dfb4fcd4c3e88ef10dbea67dd6e00fc9848302bd2e9"},"schema_version":"1.0","source":{"id":"2408.09039","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.09039","created_at":"2026-07-05T08:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"2408.09039v2","created_at":"2026-07-05T08:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.09039","created_at":"2026-07-05T08:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"UJJ6FZWG6OHR","created_at":"2026-07-05T08:57:24Z"},{"alias_kind":"pith_short_16","alias_value":"UJJ6FZWG6OHRQHGS","created_at":"2026-07-05T08:57:24Z"},{"alias_kind":"pith_short_8","alias_value":"UJJ6FZWG","created_at":"2026-07-05T08:57:24Z"}],"graph_snapshots":[{"event_id":"sha256:7d0cab75ad34c3322b10fa22465a50c58d8435a5df60a2944cc37f1c05dc972f","target":"graph","created_at":"2026-07-05T08:57:24Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2408.09039/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For a monotone symplectic manifold and a smooth anticanonical divisor, there is a formal deformation of the symplectic cohomology of the divisor complement, defined by allowing Floer cylinders to intersect the divisor. We compute this deformed symplectic cohomology, in terms of the ordinary cohomology of the manifold and divisor; and also describe some additional structures that it carries.","authors_text":"Daniel Pomerleano, Paul Seidel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-08-16T22:27:53Z","title":"Symplectic cohomology relative to a smooth anticanonical divisor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.09039","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:bacf095fba7bbc622d1920db6f26d169d53e40c8081f338a8cbc8498d431bb02","target":"record","created_at":"2026-07-05T08:57:24Z","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":"faad9d942eda70913d3500dc4baa4a7ef1434ee3eb1d50aa902b8071fc4cc869","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2024-08-16T22:27:53Z","title_canon_sha256":"c95645068031e4d71e4d1dfb4fcd4c3e88ef10dbea67dd6e00fc9848302bd2e9"},"schema_version":"1.0","source":{"id":"2408.09039","kind":"arxiv","version":2}},"canonical_sha256":"a253e2e6c6f38f181cd22fe38804042fb86528b0078869b65e7026e260aad763","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a253e2e6c6f38f181cd22fe38804042fb86528b0078869b65e7026e260aad763","first_computed_at":"2026-07-05T08:57:24.049056Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:57:24.049056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rY1tJpgPjFxPnyynZA4Yh/FDlQSRgy9RpLFo17jQBSs1bUO2XQ8ODH98hrfw+pvNkYQAjPVL3o1wRttus2N9Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:57:24.049478Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.09039","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bacf095fba7bbc622d1920db6f26d169d53e40c8081f338a8cbc8498d431bb02","sha256:7d0cab75ad34c3322b10fa22465a50c58d8435a5df60a2944cc37f1c05dc972f"],"state_sha256":"16223e619cfe79f05122ec41e1cdd91f67ef3af253db96fc28fce25c948bf267"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RC3wl8bkoqLgjGr4sdXNN6msarqaEL9hlxUuS2bWqH/24sJCD8mTiD/SC2dr7W10mYqOul2tdIz0R19CABZ4Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T01:19:57.694181Z","bundle_sha256":"41a69995d85a8c1abb9bb6ea6af25609b4d5b702bf62033acdd77aa27474facb"}}