{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IKJVRCGEMGSCKK2NT2DWUWMATV","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":"58665e0f068651e015c137a949e5dbbc0bf882b9186767999468c3d3838416d4","cross_cats_sorted":["math.DG","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-07-20T12:16:38Z","title_canon_sha256":"b711c7f11da5e2ff48416beb5116674e5967e564d039abc4c2ba253d5d788b8a"},"schema_version":"1.0","source":{"id":"1107.3954","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.3954","created_at":"2026-05-18T04:08:12Z"},{"alias_kind":"arxiv_version","alias_value":"1107.3954v2","created_at":"2026-05-18T04:08:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3954","created_at":"2026-05-18T04:08:12Z"},{"alias_kind":"pith_short_12","alias_value":"IKJVRCGEMGSC","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IKJVRCGEMGSCKK2N","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IKJVRCGE","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:daf1edb7aae3ac2e4e104bdb7047668ccbec6f54aad2bf4d8b19bc3ee1a40fe7","target":"graph","created_at":"2026-05-18T04:08:12Z","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":"The geography of minimal symplectic 4-manifolds with arbitrary fundamental group and symplectic 6-manifolds with abelian fundamental group of small rank, and with arbitrary fundamental group are addressed.","authors_text":"Jonathan Yazinski, Rafael Torres","cross_cats":["math.DG","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-07-20T12:16:38Z","title":"Geography of symplectic 4- and 6-manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3954","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":"sha256:8b095381e73e5acbc34e3e6dbe85a904dd4e8f0bfab43b84f90f3fdb669e6a12","target":"record","created_at":"2026-05-18T04:08:12Z","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":"58665e0f068651e015c137a949e5dbbc0bf882b9186767999468c3d3838416d4","cross_cats_sorted":["math.DG","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-07-20T12:16:38Z","title_canon_sha256":"b711c7f11da5e2ff48416beb5116674e5967e564d039abc4c2ba253d5d788b8a"},"schema_version":"1.0","source":{"id":"1107.3954","kind":"arxiv","version":2}},"canonical_sha256":"42935888c461a4252b4d9e876a59809d457849901d36579c563888378d8391c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42935888c461a4252b4d9e876a59809d457849901d36579c563888378d8391c4","first_computed_at":"2026-05-18T04:08:12.346835Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:12.346835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ha542Y9dH4BWJAPqQwBBL3yAR/X5G3QW5FqLsSVHF5sJblRG5ZBShuv53dU9MwhBL9YSaVTL9q14uWoDG8oICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:12.347343Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.3954","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b095381e73e5acbc34e3e6dbe85a904dd4e8f0bfab43b84f90f3fdb669e6a12","sha256:daf1edb7aae3ac2e4e104bdb7047668ccbec6f54aad2bf4d8b19bc3ee1a40fe7"],"state_sha256":"22f0587f9ad95be9bea08c319354662786aecb2eff56d0bd8ccd4cd9544b6775"}