{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LA6GMEDYQPNTHAFR2X5T32S44Q","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":"d1a67e30359098332f693888bf75cdccc1ceef5e3879a5afcb78373a682edf50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-08-11T14:22:35Z","title_canon_sha256":"7b9c467f49fd980cb383ded6ec797cda54a4232dd9890c415fac2caa4a4cf79d"},"schema_version":"1.0","source":{"id":"2608.10953","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.10953","created_at":"2026-08-12T01:23:53Z"},{"alias_kind":"arxiv_version","alias_value":"2608.10953v1","created_at":"2026-08-12T01:23:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.10953","created_at":"2026-08-12T01:23:53Z"},{"alias_kind":"pith_short_12","alias_value":"LA6GMEDYQPNT","created_at":"2026-08-12T01:23:53Z"},{"alias_kind":"pith_short_16","alias_value":"LA6GMEDYQPNTHAFR","created_at":"2026-08-12T01:23:53Z"},{"alias_kind":"pith_short_8","alias_value":"LA6GMEDY","created_at":"2026-08-12T01:23:53Z"}],"graph_snapshots":[{"event_id":"sha256:2ea15915973872c235870fd6706519de3762a5da8adc6b42c66aa31a227499db","target":"graph","created_at":"2026-08-12T01:23:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.10953/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study compactness, rigidity, and related geometric properties of complete K\\\"ahler Ricci shrinkers through the polarized Fano fibration structure.","authors_text":"Tongxin Xu, Zhenlei Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-08-11T14:22:35Z","title":"Compactness and Rigidity of Complete K\\\"ahler Ricci Shrinkers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.10953","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:ea38187fc20be20c824adec3c97d5c157ac07e5ba30c7ff5e1bc5a4ac0c6428a","target":"record","created_at":"2026-08-12T01:23:53Z","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":"d1a67e30359098332f693888bf75cdccc1ceef5e3879a5afcb78373a682edf50","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-08-11T14:22:35Z","title_canon_sha256":"7b9c467f49fd980cb383ded6ec797cda54a4232dd9890c415fac2caa4a4cf79d"},"schema_version":"1.0","source":{"id":"2608.10953","kind":"arxiv","version":1}},"canonical_sha256":"583c66107883db3380b1d5fb3dea5ce438f1dd8d30d5e3c2ecfd8cd27d004f6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"583c66107883db3380b1d5fb3dea5ce438f1dd8d30d5e3c2ecfd8cd27d004f6d","first_computed_at":"2026-08-12T01:23:53.913897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-12T01:23:53.913897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ohunv81+66Eo++S0g2fVH58WWpsRoGNxZ14WRLiTskfNbIcqciH9/pYbE6d/N/36RlI8orf+oTy6c0BHOTg6DQ==","signature_status":"signed_v1","signed_at":"2026-08-12T01:23:53.915909Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.10953","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea38187fc20be20c824adec3c97d5c157ac07e5ba30c7ff5e1bc5a4ac0c6428a","sha256:2ea15915973872c235870fd6706519de3762a5da8adc6b42c66aa31a227499db"],"state_sha256":"789d7e682c2401894a80462d267668d8c09cc3fe10ac25b89aa2d4d6f68f7879"}