{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6ZP25OQASPMBVQPPNIDRW6KOZX","short_pith_number":"pith:6ZP25OQA","canonical_record":{"source":{"id":"1111.4509","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-11-18T22:31:01Z","cross_cats_sorted":["math.AG","math.SG"],"title_canon_sha256":"50e55fe844be53040594d0555d29d9969f640e9f01859d11a36840a6a83d5a2d","abstract_canon_sha256":"b7fc473c972aeda90e84bd0e5c90fc6a4a2857bcc664835f33056615b711e294"},"schema_version":"1.0"},"canonical_sha256":"f65faeba0093d81ac1ef6a071b794ecdea282b618f52f44417acfe85a46964d2","source":{"kind":"arxiv","id":"1111.4509","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4509","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4509v2","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4509","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"6ZP25OQASPMB","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6ZP25OQASPMBVQPP","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6ZP25OQA","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6ZP25OQASPMBVQPPNIDRW6KOZX","target":"record","payload":{"canonical_record":{"source":{"id":"1111.4509","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-11-18T22:31:01Z","cross_cats_sorted":["math.AG","math.SG"],"title_canon_sha256":"50e55fe844be53040594d0555d29d9969f640e9f01859d11a36840a6a83d5a2d","abstract_canon_sha256":"b7fc473c972aeda90e84bd0e5c90fc6a4a2857bcc664835f33056615b711e294"},"schema_version":"1.0"},"canonical_sha256":"f65faeba0093d81ac1ef6a071b794ecdea282b618f52f44417acfe85a46964d2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:00.158376Z","signature_b64":"m+p9Lxnj8/8dtXOOxlp2n/QhexFE/ejudOCY6XefZBmNHLcxgjWByUA3+sZz/R2+I6aHR3MBxLhF1VsIJ99DBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f65faeba0093d81ac1ef6a071b794ecdea282b618f52f44417acfe85a46964d2","last_reissued_at":"2026-05-18T02:58:00.157699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:00.157699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.4509","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":"2026-05-18T02:58:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T3DtF5n/awoKewXM3n5KkWQ5UPdga3PuSK1QwiOEmvZzpWaKhSJbvfANRYshmfpDobcELxo5lBKer2CmTHniBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:13:46.548620Z"},"content_sha256":"718a88a624e6fcc3c7d543407f31c84dd2c094e1849be0859b959216d27c6f49","schema_version":"1.0","event_id":"sha256:718a88a624e6fcc3c7d543407f31c84dd2c094e1849be0859b959216d27c6f49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6ZP25OQASPMBVQPPNIDRW6KOZX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Surgery on Nullhomologous Tori","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.SG"],"primary_cat":"math.GT","authors_text":"Ronald Fintushel, Ronald J. Stern","submitted_at":"2011-11-18T22:31:01Z","abstract_excerpt":"By studying the example of smooth structures on CP^2#3(-CP^2) we illustrate how surgery on a single embedded nullhomologous torus can be utilized to change the symplectic structure, the Seiberg-Witten invariant, and hence the smooth structure on a 4-manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4509","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":"2026-05-18T02:58:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"76dle/3EWIlIGv+TQaQRkjsTEfji3FTpWqnCzeDJleCDpPDg1jo2RdzEq8XogNfPVJ0xzn1L8py+LfcFPHUXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:13:46.549266Z"},"content_sha256":"6f0f5c1970bc33c95854b92e2330afe3d5a6080ca375168bd58c7f3f8fcd25a0","schema_version":"1.0","event_id":"sha256:6f0f5c1970bc33c95854b92e2330afe3d5a6080ca375168bd58c7f3f8fcd25a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6ZP25OQASPMBVQPPNIDRW6KOZX/bundle.json","state_url":"https://pith.science/pith/6ZP25OQASPMBVQPPNIDRW6KOZX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6ZP25OQASPMBVQPPNIDRW6KOZX/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":"2026-05-27T19:13:46Z","links":{"resolver":"https://pith.science/pith/6ZP25OQASPMBVQPPNIDRW6KOZX","bundle":"https://pith.science/pith/6ZP25OQASPMBVQPPNIDRW6KOZX/bundle.json","state":"https://pith.science/pith/6ZP25OQASPMBVQPPNIDRW6KOZX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6ZP25OQASPMBVQPPNIDRW6KOZX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6ZP25OQASPMBVQPPNIDRW6KOZX","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":"b7fc473c972aeda90e84bd0e5c90fc6a4a2857bcc664835f33056615b711e294","cross_cats_sorted":["math.AG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-11-18T22:31:01Z","title_canon_sha256":"50e55fe844be53040594d0555d29d9969f640e9f01859d11a36840a6a83d5a2d"},"schema_version":"1.0","source":{"id":"1111.4509","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4509","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4509v2","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4509","created_at":"2026-05-18T02:58:00Z"},{"alias_kind":"pith_short_12","alias_value":"6ZP25OQASPMB","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6ZP25OQASPMBVQPP","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6ZP25OQA","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:6f0f5c1970bc33c95854b92e2330afe3d5a6080ca375168bd58c7f3f8fcd25a0","target":"graph","created_at":"2026-05-18T02:58:00Z","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":"By studying the example of smooth structures on CP^2#3(-CP^2) we illustrate how surgery on a single embedded nullhomologous torus can be utilized to change the symplectic structure, the Seiberg-Witten invariant, and hence the smooth structure on a 4-manifold.","authors_text":"Ronald Fintushel, Ronald J. Stern","cross_cats":["math.AG","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-11-18T22:31:01Z","title":"Surgery on Nullhomologous Tori"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4509","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":"sha256:718a88a624e6fcc3c7d543407f31c84dd2c094e1849be0859b959216d27c6f49","target":"record","created_at":"2026-05-18T02:58:00Z","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":"b7fc473c972aeda90e84bd0e5c90fc6a4a2857bcc664835f33056615b711e294","cross_cats_sorted":["math.AG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-11-18T22:31:01Z","title_canon_sha256":"50e55fe844be53040594d0555d29d9969f640e9f01859d11a36840a6a83d5a2d"},"schema_version":"1.0","source":{"id":"1111.4509","kind":"arxiv","version":2}},"canonical_sha256":"f65faeba0093d81ac1ef6a071b794ecdea282b618f52f44417acfe85a46964d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f65faeba0093d81ac1ef6a071b794ecdea282b618f52f44417acfe85a46964d2","first_computed_at":"2026-05-18T02:58:00.157699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:00.157699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m+p9Lxnj8/8dtXOOxlp2n/QhexFE/ejudOCY6XefZBmNHLcxgjWByUA3+sZz/R2+I6aHR3MBxLhF1VsIJ99DBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:00.158376Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4509","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:718a88a624e6fcc3c7d543407f31c84dd2c094e1849be0859b959216d27c6f49","sha256:6f0f5c1970bc33c95854b92e2330afe3d5a6080ca375168bd58c7f3f8fcd25a0"],"state_sha256":"cd2ee3e544796ab4f6c5e399c854523b3e26225a1f45725afa37d2f64114aa6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u/DoncAqD84IyG5LgitYd3po216cFINuYr3HB9Y8DtSncrPhSA7tY5QcuFuqVkPl0xTUO0pYZB/AEfqIfaJuDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:13:46.554372Z","bundle_sha256":"b341bed804ba8f10ecc0b01c1b62fe1780541a35ed5b64fbe95e3373c1e21303"}}