{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:5MEGQ7TUVJFCWVR5TFX2YQH5Z6","short_pith_number":"pith:5MEGQ7TU","canonical_record":{"source":{"id":"1812.06536","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-12-16T21:06:05Z","cross_cats_sorted":[],"title_canon_sha256":"5ab94ec69e186e4698119726cdcdff3fc3463fde52c4988b62c2c1dd0f91deaa","abstract_canon_sha256":"daef7cb7294d2c40305e892fa09839e308893b3b63e1ea9e1ab0d3ae28f858cc"},"schema_version":"1.0"},"canonical_sha256":"eb08687e74aa4a2b563d996fac40fdcfadde94ed20ae6f1572631dd6ac568a7a","source":{"kind":"arxiv","id":"1812.06536","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.06536","created_at":"2026-05-17T23:58:09Z"},{"alias_kind":"arxiv_version","alias_value":"1812.06536v1","created_at":"2026-05-17T23:58:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06536","created_at":"2026-05-17T23:58:09Z"},{"alias_kind":"pith_short_12","alias_value":"5MEGQ7TUVJFC","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5MEGQ7TUVJFCWVR5","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5MEGQ7TU","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:5MEGQ7TUVJFCWVR5TFX2YQH5Z6","target":"record","payload":{"canonical_record":{"source":{"id":"1812.06536","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-12-16T21:06:05Z","cross_cats_sorted":[],"title_canon_sha256":"5ab94ec69e186e4698119726cdcdff3fc3463fde52c4988b62c2c1dd0f91deaa","abstract_canon_sha256":"daef7cb7294d2c40305e892fa09839e308893b3b63e1ea9e1ab0d3ae28f858cc"},"schema_version":"1.0"},"canonical_sha256":"eb08687e74aa4a2b563d996fac40fdcfadde94ed20ae6f1572631dd6ac568a7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:09.973524Z","signature_b64":"ptYdptcMVW9lpkHnQWaxxCRB7Ns0u4ltE1vEFu/iwIrVE7Mf9k0G2+DKIYi/+xgodmpyBDH5SVKK1kTG6fRUAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb08687e74aa4a2b563d996fac40fdcfadde94ed20ae6f1572631dd6ac568a7a","last_reissued_at":"2026-05-17T23:58:09.972938Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:09.972938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.06536","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"St+l4V4kgLZ95ivXeTM5aBM54pvr/w/6/X0jGg+DwwJuz+GYVp8i+tzIidiWHJVxbZocNVhxcB4JkhwQ1gFRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T12:38:19.907387Z"},"content_sha256":"103be09fe92aacb0f9bcb7d3114c72ee915841685e59fba007fe0a9e25396b9c","schema_version":"1.0","event_id":"sha256:103be09fe92aacb0f9bcb7d3114c72ee915841685e59fba007fe0a9e25396b9c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:5MEGQ7TUVJFCWVR5TFX2YQH5Z6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Francesco Lin, Ian Agol","submitted_at":"2018-12-16T21:06:05Z","abstract_excerpt":"We show the existence of hyperbolic 4-manifolds with vanishing Seiberg-Witten invariants, addressing a conjecture of Claude LeBrun. This is achieved by showing, using results in geometric and arithmetic group theory, that certain hyperbolic 4-manifolds contain L-spaces as hypersurfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06536","kind":"arxiv","version":1},"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":"2026-05-17T23:58:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PP9AO+qsjbswruulgXpuOEPK7O8kRm8T++qSfhwHxlnzXeGr5M2eMnm1YgdR3XILhTYQLnoyGdarqRwbqxL1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T12:38:19.907759Z"},"content_sha256":"3db9e5c1c8af1883a54cf965377999569c142d11cdb946762fbd41ed416e57aa","schema_version":"1.0","event_id":"sha256:3db9e5c1c8af1883a54cf965377999569c142d11cdb946762fbd41ed416e57aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5MEGQ7TUVJFCWVR5TFX2YQH5Z6/bundle.json","state_url":"https://pith.science/pith/5MEGQ7TUVJFCWVR5TFX2YQH5Z6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5MEGQ7TUVJFCWVR5TFX2YQH5Z6/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":"2026-06-11T12:38:19Z","links":{"resolver":"https://pith.science/pith/5MEGQ7TUVJFCWVR5TFX2YQH5Z6","bundle":"https://pith.science/pith/5MEGQ7TUVJFCWVR5TFX2YQH5Z6/bundle.json","state":"https://pith.science/pith/5MEGQ7TUVJFCWVR5TFX2YQH5Z6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5MEGQ7TUVJFCWVR5TFX2YQH5Z6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5MEGQ7TUVJFCWVR5TFX2YQH5Z6","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":"daef7cb7294d2c40305e892fa09839e308893b3b63e1ea9e1ab0d3ae28f858cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-12-16T21:06:05Z","title_canon_sha256":"5ab94ec69e186e4698119726cdcdff3fc3463fde52c4988b62c2c1dd0f91deaa"},"schema_version":"1.0","source":{"id":"1812.06536","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.06536","created_at":"2026-05-17T23:58:09Z"},{"alias_kind":"arxiv_version","alias_value":"1812.06536v1","created_at":"2026-05-17T23:58:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.06536","created_at":"2026-05-17T23:58:09Z"},{"alias_kind":"pith_short_12","alias_value":"5MEGQ7TUVJFC","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5MEGQ7TUVJFCWVR5","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5MEGQ7TU","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:3db9e5c1c8af1883a54cf965377999569c142d11cdb946762fbd41ed416e57aa","target":"graph","created_at":"2026-05-17T23:58:09Z","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 show the existence of hyperbolic 4-manifolds with vanishing Seiberg-Witten invariants, addressing a conjecture of Claude LeBrun. This is achieved by showing, using results in geometric and arithmetic group theory, that certain hyperbolic 4-manifolds contain L-spaces as hypersurfaces.","authors_text":"Francesco Lin, Ian Agol","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-12-16T21:06:05Z","title":"Hyperbolic four-manifolds with vanishing Seiberg-Witten invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.06536","kind":"arxiv","version":1},"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":"sha256:103be09fe92aacb0f9bcb7d3114c72ee915841685e59fba007fe0a9e25396b9c","target":"record","created_at":"2026-05-17T23:58:09Z","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":"daef7cb7294d2c40305e892fa09839e308893b3b63e1ea9e1ab0d3ae28f858cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-12-16T21:06:05Z","title_canon_sha256":"5ab94ec69e186e4698119726cdcdff3fc3463fde52c4988b62c2c1dd0f91deaa"},"schema_version":"1.0","source":{"id":"1812.06536","kind":"arxiv","version":1}},"canonical_sha256":"eb08687e74aa4a2b563d996fac40fdcfadde94ed20ae6f1572631dd6ac568a7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb08687e74aa4a2b563d996fac40fdcfadde94ed20ae6f1572631dd6ac568a7a","first_computed_at":"2026-05-17T23:58:09.972938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:09.972938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ptYdptcMVW9lpkHnQWaxxCRB7Ns0u4ltE1vEFu/iwIrVE7Mf9k0G2+DKIYi/+xgodmpyBDH5SVKK1kTG6fRUAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:09.973524Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.06536","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:103be09fe92aacb0f9bcb7d3114c72ee915841685e59fba007fe0a9e25396b9c","sha256:3db9e5c1c8af1883a54cf965377999569c142d11cdb946762fbd41ed416e57aa"],"state_sha256":"1de01689f791a42698aad449ec5c4a73b77254249d64c8ddc5495e6a64377403"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J5xM0n0fVIU1eEy56XtPpg1L/LEpRJZrc8U52a4TPLYuvBruR1EEIa35YP1f7aEw0eZKyseBg2Yw/vbX+6MiBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T12:38:19.910029Z","bundle_sha256":"8b5ac733f400b1b9a7ac5751a44603915dd66248d42588d435e51c5c877fe0dc"}}