{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LAWQL4KCXUEINPHELSJ4KRMTM6","short_pith_number":"pith:LAWQL4KC","canonical_record":{"source":{"id":"1212.1967","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-12-10T04:08:40Z","cross_cats_sorted":["math.AG","math.SG"],"title_canon_sha256":"2ca0a984aded0bd129c5b6da42d1f6354b4312a1d6c9e5263ce153c107d25748","abstract_canon_sha256":"8c8fc3cab844203f0879de557e2a5c6ebd9beb1ffff4e9ac74a285c1659b5f79"},"schema_version":"1.0"},"canonical_sha256":"582d05f142bd0886bce45c93c5459367beee7db288c668e9ff1a813a29772d27","source":{"kind":"arxiv","id":"1212.1967","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1967","created_at":"2026-05-18T01:59:59Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1967v2","created_at":"2026-05-18T01:59:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1967","created_at":"2026-05-18T01:59:59Z"},{"alias_kind":"pith_short_12","alias_value":"LAWQL4KCXUEI","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LAWQL4KCXUEINPHE","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LAWQL4KC","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LAWQL4KCXUEINPHELSJ4KRMTM6","target":"record","payload":{"canonical_record":{"source":{"id":"1212.1967","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-12-10T04:08:40Z","cross_cats_sorted":["math.AG","math.SG"],"title_canon_sha256":"2ca0a984aded0bd129c5b6da42d1f6354b4312a1d6c9e5263ce153c107d25748","abstract_canon_sha256":"8c8fc3cab844203f0879de557e2a5c6ebd9beb1ffff4e9ac74a285c1659b5f79"},"schema_version":"1.0"},"canonical_sha256":"582d05f142bd0886bce45c93c5459367beee7db288c668e9ff1a813a29772d27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:59.220928Z","signature_b64":"448N6OLN2Sb59clI6J7ElhyrMR6a+trcNKmsl2sWAXjST+E104OLbv1SYP8UPYx5vSwOoOA5PSO4fNe6PtD8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"582d05f142bd0886bce45c93c5459367beee7db288c668e9ff1a813a29772d27","last_reissued_at":"2026-05-18T01:59:59.220359Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:59.220359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.1967","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":"2026-05-18T01:59:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zolhOCXb1gOwbJjcDVWoOMVlPdjRdyw7H1064dZx+LmLfcOhLgwLnGLSH/QMtovMKPev2r9VI3GW8bJRaGQ7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:45:41.035124Z"},"content_sha256":"6d20bc7b4e485fd2c6929c3a99418403e8562b8098239660bb1e65ef86b311be","schema_version":"1.0","event_id":"sha256:6d20bc7b4e485fd2c6929c3a99418403e8562b8098239660bb1e65ef86b311be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LAWQL4KCXUEINPHELSJ4KRMTM6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Exotic 4-Manifolds via Luttinger Surgery on Lefschetz Fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.SG"],"primary_cat":"math.GT","authors_text":"Anar Akhmedov, Kadriye Nur Saglam","submitted_at":"2012-12-10T04:08:40Z","abstract_excerpt":"In [2], the first author constructed the first known examples of exotic minimal symplectic $\\CP#5\\CPb$ and minimal symplectic 4-manifold that is homeomorphic but not diffeomorphic to $3\\CP#7\\CPb$. The construction in [2] uses Y. Matsumoto's genus two Lefschetz fibrations on $M = \\mathbb{T}^{2}\\times \\mathbb{S}^{2} #4\\CPb$ over $\\mathbb{S}^2$ along with the fake symplectic $\\mathbb{S}^{2} \\times \\mathbb{S}^{2}$ construction given in [1]. The main goal in this paper is to generalize the construction in [2] using the higher genus versions of Matsumoto's fibration constructed by Mustafa Korkmaz an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1967","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":"2026-05-18T01:59:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EadS26IFwPfxErzLd70OaI8Go+WKgwXthsdayFn1WIryKgR7snfY/QxncW2yp/JnkA2j6zAgGY3Rqz4WRQ6fDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:45:41.035483Z"},"content_sha256":"709c3048d1faea8097242c15056e45ddacfc4417d9c02bc60b6f98a417a4ec46","schema_version":"1.0","event_id":"sha256:709c3048d1faea8097242c15056e45ddacfc4417d9c02bc60b6f98a417a4ec46"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/bundle.json","state_url":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/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":"2026-06-01T13:45:41Z","links":{"resolver":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6","bundle":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/bundle.json","state":"https://pith.science/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LAWQL4KCXUEINPHELSJ4KRMTM6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LAWQL4KCXUEINPHELSJ4KRMTM6","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":"8c8fc3cab844203f0879de557e2a5c6ebd9beb1ffff4e9ac74a285c1659b5f79","cross_cats_sorted":["math.AG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-12-10T04:08:40Z","title_canon_sha256":"2ca0a984aded0bd129c5b6da42d1f6354b4312a1d6c9e5263ce153c107d25748"},"schema_version":"1.0","source":{"id":"1212.1967","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1967","created_at":"2026-05-18T01:59:59Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1967v2","created_at":"2026-05-18T01:59:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1967","created_at":"2026-05-18T01:59:59Z"},{"alias_kind":"pith_short_12","alias_value":"LAWQL4KCXUEI","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LAWQL4KCXUEINPHE","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LAWQL4KC","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:709c3048d1faea8097242c15056e45ddacfc4417d9c02bc60b6f98a417a4ec46","target":"graph","created_at":"2026-05-18T01:59:59Z","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 [2], the first author constructed the first known examples of exotic minimal symplectic $\\CP#5\\CPb$ and minimal symplectic 4-manifold that is homeomorphic but not diffeomorphic to $3\\CP#7\\CPb$. The construction in [2] uses Y. Matsumoto's genus two Lefschetz fibrations on $M = \\mathbb{T}^{2}\\times \\mathbb{S}^{2} #4\\CPb$ over $\\mathbb{S}^2$ along with the fake symplectic $\\mathbb{S}^{2} \\times \\mathbb{S}^{2}$ construction given in [1]. The main goal in this paper is to generalize the construction in [2] using the higher genus versions of Matsumoto's fibration constructed by Mustafa Korkmaz an","authors_text":"Anar Akhmedov, Kadriye Nur Saglam","cross_cats":["math.AG","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-12-10T04:08:40Z","title":"New Exotic 4-Manifolds via Luttinger Surgery on Lefschetz Fibrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1967","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":"sha256:6d20bc7b4e485fd2c6929c3a99418403e8562b8098239660bb1e65ef86b311be","target":"record","created_at":"2026-05-18T01:59:59Z","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":"8c8fc3cab844203f0879de557e2a5c6ebd9beb1ffff4e9ac74a285c1659b5f79","cross_cats_sorted":["math.AG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-12-10T04:08:40Z","title_canon_sha256":"2ca0a984aded0bd129c5b6da42d1f6354b4312a1d6c9e5263ce153c107d25748"},"schema_version":"1.0","source":{"id":"1212.1967","kind":"arxiv","version":2}},"canonical_sha256":"582d05f142bd0886bce45c93c5459367beee7db288c668e9ff1a813a29772d27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"582d05f142bd0886bce45c93c5459367beee7db288c668e9ff1a813a29772d27","first_computed_at":"2026-05-18T01:59:59.220359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:59.220359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"448N6OLN2Sb59clI6J7ElhyrMR6a+trcNKmsl2sWAXjST+E104OLbv1SYP8UPYx5vSwOoOA5PSO4fNe6PtD8AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:59.220928Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1967","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d20bc7b4e485fd2c6929c3a99418403e8562b8098239660bb1e65ef86b311be","sha256:709c3048d1faea8097242c15056e45ddacfc4417d9c02bc60b6f98a417a4ec46"],"state_sha256":"0f3d150ee0b8be60667c14848970a5636af5db7d9b495bf228fb85b04819dba2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JYtVTiGQJh0KMrEaNblD1cVyPdL9RV0f8W+2AJesOj5VJ/NtRAdm17BBUXOsljitR2YKc8wxxygHT/yzJiGUCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:45:41.037359Z","bundle_sha256":"8596ce30f8c3d1a28b96f1960f9505821bc75f455c4626e1b54bba118637a835"}}