{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BLZSNYV2O7S5JPR7RDT5WZGMRQ","short_pith_number":"pith:BLZSNYV2","canonical_record":{"source":{"id":"1410.2141","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-08T14:41:20Z","cross_cats_sorted":["math.AT","math.SG"],"title_canon_sha256":"cd72832994ed758f047b2076b78ad393c0162fe0ca8285943cee9bf6254208a0","abstract_canon_sha256":"42e66f4e481577671d58bae025b5cc17434b6f458add00668010569d5053b861"},"schema_version":"1.0"},"canonical_sha256":"0af326e2ba77e5d4be3f88e7db64cc8c00d05939b8304a1d37dfbdcbeaecf67e","source":{"kind":"arxiv","id":"1410.2141","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2141","created_at":"2026-05-18T02:38:28Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2141v2","created_at":"2026-05-18T02:38:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2141","created_at":"2026-05-18T02:38:28Z"},{"alias_kind":"pith_short_12","alias_value":"BLZSNYV2O7S5","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BLZSNYV2O7S5JPR7","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BLZSNYV2","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BLZSNYV2O7S5JPR7RDT5WZGMRQ","target":"record","payload":{"canonical_record":{"source":{"id":"1410.2141","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-08T14:41:20Z","cross_cats_sorted":["math.AT","math.SG"],"title_canon_sha256":"cd72832994ed758f047b2076b78ad393c0162fe0ca8285943cee9bf6254208a0","abstract_canon_sha256":"42e66f4e481577671d58bae025b5cc17434b6f458add00668010569d5053b861"},"schema_version":"1.0"},"canonical_sha256":"0af326e2ba77e5d4be3f88e7db64cc8c00d05939b8304a1d37dfbdcbeaecf67e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:28.192638Z","signature_b64":"GF7x4DZQQz6nrCfdOyAmqJQC5Ps7UTkebkMM2hOZDmFRITciAehu2v/jalq1Vkl/XOhAxYwgAZ0646E3ERtfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0af326e2ba77e5d4be3f88e7db64cc8c00d05939b8304a1d37dfbdcbeaecf67e","last_reissued_at":"2026-05-18T02:38:28.191965Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:28.191965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.2141","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":"2026-05-18T02:38:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ySm2v6MUT0mfehg0bhU7/6ZyfU6ksQEC7CHVDeeyxBMOT8rkoxHfMeZvKPJcPGfPDHwFnoVhjfLdm5mGkY8kBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:37:52.553354Z"},"content_sha256":"237e3583a59f652d1192adb4d7a91c3094f31e825183abf0fe22d142a5ee1cc8","schema_version":"1.0","event_id":"sha256:237e3583a59f652d1192adb4d7a91c3094f31e825183abf0fe22d142a5ee1cc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BLZSNYV2O7S5JPR7RDT5WZGMRQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strings, fermions and the topology of curves on annuli","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.SG"],"primary_cat":"math.GT","authors_text":"Daniel V. Mathews","submitted_at":"2014-10-08T14:41:20Z","abstract_excerpt":"In previous work with Schoenfeld, we considered a string-type chain complex of curves on surfaces, with differential given by resolving crossings, and computed the homology of this complex for discs.\n  In this paper we consider the corresponding \"string homology\" of annuli. We find this homology has a rich algebraic structure which can be described, in various senses, as fermionic. While for discs we found an isomorphism between string homology and the sutured Floer homology of a related 3-manifold, in the case of annuli we find the relationship is more complex, with string homology containing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2141","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":"2026-05-18T02:38:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U4k9qjH+dsUIJ+Pu87fscMY1b5p3tbRh8xXOUzeEmBGT6+JGdNaUeRGL/7Ra6LoFV0SUBeqz2KTRgblL+5m7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T10:37:52.553710Z"},"content_sha256":"8d8a63fb6f662ab8d578fb3d87fb075eb1a66d55aa7c02c419f111d59be27bc5","schema_version":"1.0","event_id":"sha256:8d8a63fb6f662ab8d578fb3d87fb075eb1a66d55aa7c02c419f111d59be27bc5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BLZSNYV2O7S5JPR7RDT5WZGMRQ/bundle.json","state_url":"https://pith.science/pith/BLZSNYV2O7S5JPR7RDT5WZGMRQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BLZSNYV2O7S5JPR7RDT5WZGMRQ/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":"2026-06-25T10:37:52Z","links":{"resolver":"https://pith.science/pith/BLZSNYV2O7S5JPR7RDT5WZGMRQ","bundle":"https://pith.science/pith/BLZSNYV2O7S5JPR7RDT5WZGMRQ/bundle.json","state":"https://pith.science/pith/BLZSNYV2O7S5JPR7RDT5WZGMRQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BLZSNYV2O7S5JPR7RDT5WZGMRQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BLZSNYV2O7S5JPR7RDT5WZGMRQ","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":"42e66f4e481577671d58bae025b5cc17434b6f458add00668010569d5053b861","cross_cats_sorted":["math.AT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-08T14:41:20Z","title_canon_sha256":"cd72832994ed758f047b2076b78ad393c0162fe0ca8285943cee9bf6254208a0"},"schema_version":"1.0","source":{"id":"1410.2141","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2141","created_at":"2026-05-18T02:38:28Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2141v2","created_at":"2026-05-18T02:38:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2141","created_at":"2026-05-18T02:38:28Z"},{"alias_kind":"pith_short_12","alias_value":"BLZSNYV2O7S5","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BLZSNYV2O7S5JPR7","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BLZSNYV2","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:8d8a63fb6f662ab8d578fb3d87fb075eb1a66d55aa7c02c419f111d59be27bc5","target":"graph","created_at":"2026-05-18T02:38:28Z","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":"In previous work with Schoenfeld, we considered a string-type chain complex of curves on surfaces, with differential given by resolving crossings, and computed the homology of this complex for discs.\n  In this paper we consider the corresponding \"string homology\" of annuli. We find this homology has a rich algebraic structure which can be described, in various senses, as fermionic. While for discs we found an isomorphism between string homology and the sutured Floer homology of a related 3-manifold, in the case of annuli we find the relationship is more complex, with string homology containing","authors_text":"Daniel V. Mathews","cross_cats":["math.AT","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-08T14:41:20Z","title":"Strings, fermions and the topology of curves on annuli"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2141","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":"sha256:237e3583a59f652d1192adb4d7a91c3094f31e825183abf0fe22d142a5ee1cc8","target":"record","created_at":"2026-05-18T02:38:28Z","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":"42e66f4e481577671d58bae025b5cc17434b6f458add00668010569d5053b861","cross_cats_sorted":["math.AT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-10-08T14:41:20Z","title_canon_sha256":"cd72832994ed758f047b2076b78ad393c0162fe0ca8285943cee9bf6254208a0"},"schema_version":"1.0","source":{"id":"1410.2141","kind":"arxiv","version":2}},"canonical_sha256":"0af326e2ba77e5d4be3f88e7db64cc8c00d05939b8304a1d37dfbdcbeaecf67e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0af326e2ba77e5d4be3f88e7db64cc8c00d05939b8304a1d37dfbdcbeaecf67e","first_computed_at":"2026-05-18T02:38:28.191965Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:28.191965Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GF7x4DZQQz6nrCfdOyAmqJQC5Ps7UTkebkMM2hOZDmFRITciAehu2v/jalq1Vkl/XOhAxYwgAZ0646E3ERtfCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:28.192638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.2141","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:237e3583a59f652d1192adb4d7a91c3094f31e825183abf0fe22d142a5ee1cc8","sha256:8d8a63fb6f662ab8d578fb3d87fb075eb1a66d55aa7c02c419f111d59be27bc5"],"state_sha256":"0d02d37bb5e9da46f14099c3ff1864fdd463b8b281abb89651f2edda01847500"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"srilOcfki8jEhJO4C92COb4mtPtX8ZOiWo7o9NtICXL3GYhZPN3mNM9RczwvUQQj/lTVVR7xeiFatCEV1yHZCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T10:37:52.555769Z","bundle_sha256":"b8ef53eb08310c22daba9030e85c836b69fc9d342893e13c9b30782813b87679"}}