{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5MOQLZ76GEJ763IF6E4B44MALY","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":"115f3af7d1b31c35e228d785a6071f0b84d6c643636718949bacec0e8b22aa52","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-06-19T16:13:43Z","title_canon_sha256":"5331f41854c9601808a658115f0c5bfd6e056c992fdbfce2651b66b30c4e6457"},"schema_version":"1.0","source":{"id":"2606.21571","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21571","created_at":"2026-06-23T01:13:14Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21571v1","created_at":"2026-06-23T01:13:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21571","created_at":"2026-06-23T01:13:14Z"},{"alias_kind":"pith_short_12","alias_value":"5MOQLZ76GEJ7","created_at":"2026-06-23T01:13:14Z"},{"alias_kind":"pith_short_16","alias_value":"5MOQLZ76GEJ763IF","created_at":"2026-06-23T01:13:14Z"},{"alias_kind":"pith_short_8","alias_value":"5MOQLZ76","created_at":"2026-06-23T01:13:14Z"}],"graph_snapshots":[{"event_id":"sha256:817742962d0ed0097fadf264bfbd7f63bc33e443af873ae9a28a34400d98d7f5","target":"graph","created_at":"2026-06-23T01:13:14Z","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/2606.21571/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The topic of fixed points in digital metric spaces has drawn yet more publications with assertions that are incorrect, incorrectly proven, trivial, or incoherently stated. We discuss publications with bad assertions concerning fixed points of self-functions on digital images, as in some of our previous papers","authors_text":"Laurence Boxer","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-06-19T16:13:43Z","title":"Remarks on Fixed Point Assertions in Digital Topology, 12"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21571","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":"sha256:36824b0f82a59b065fe3f7840f874c4fcd4a68c31ce8e624f24d5f150cbbce04","target":"record","created_at":"2026-06-23T01:13:14Z","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":"115f3af7d1b31c35e228d785a6071f0b84d6c643636718949bacec0e8b22aa52","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-06-19T16:13:43Z","title_canon_sha256":"5331f41854c9601808a658115f0c5bfd6e056c992fdbfce2651b66b30c4e6457"},"schema_version":"1.0","source":{"id":"2606.21571","kind":"arxiv","version":1}},"canonical_sha256":"eb1d05e7fe3113ff6d05f1381e71805e1804292017ebe208f6427f2eb18fb1ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb1d05e7fe3113ff6d05f1381e71805e1804292017ebe208f6427f2eb18fb1ce","first_computed_at":"2026-06-23T01:13:14.986610Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:13:14.986610Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"owbdxfE4bNhIc+/9JOyZzbHqDsXvo9FPw52F8Zy3xRwsS8UrOt8NYQ4hCC6Oh7VevTMI912updIktJJwcco0BQ==","signature_status":"signed_v1","signed_at":"2026-06-23T01:13:14.987132Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.21571","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36824b0f82a59b065fe3f7840f874c4fcd4a68c31ce8e624f24d5f150cbbce04","sha256:817742962d0ed0097fadf264bfbd7f63bc33e443af873ae9a28a34400d98d7f5"],"state_sha256":"49aba0b2a3ed3a27060ebbdeb473baf9e29602955bd1e8b651f46308c684b05c"}