{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CNC7IKFD7JQK6MRFXS7KCKK7C3","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":"3343250ea9eb40dc8248bbb348bb42d9e09cce2d733b2b592048b0c85b30c4e3","cross_cats_sorted":["math.CO","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2019-08-13T12:52:55Z","title_canon_sha256":"a20ae310f63e69064c32af13ae35448e62b8cee7232d69d1ac12942e92a26d86"},"schema_version":"1.0","source":{"id":"1908.04614","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04614","created_at":"2026-07-04T23:55:15Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04614v1","created_at":"2026-07-04T23:55:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04614","created_at":"2026-07-04T23:55:15Z"},{"alias_kind":"pith_short_12","alias_value":"CNC7IKFD7JQK","created_at":"2026-07-04T23:55:15Z"},{"alias_kind":"pith_short_16","alias_value":"CNC7IKFD7JQK6MRF","created_at":"2026-07-04T23:55:15Z"},{"alias_kind":"pith_short_8","alias_value":"CNC7IKFD","created_at":"2026-07-04T23:55:15Z"}],"graph_snapshots":[{"event_id":"sha256:750b5111a3c30801ab0a577695204d46c76ba91b76d4cb199c4558b70767f425","target":"graph","created_at":"2026-07-04T23:55:15Z","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/1908.04614/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We determine the automorphism group of the zero-divisor digraph of the semiring of matrices over an antinegative commutative semiring with a finite number of zero-divisors.","authors_text":"David Dol\\v{z}an, Gabriel Verret","cross_cats":["math.CO","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04614","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":"sha256:53ace2cdb714347da965a6e4839f84c34a9cc3bc27a8db7df020d5c74c2cfef5","target":"record","created_at":"2026-07-04T23:55:15Z","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":"3343250ea9eb40dc8248bbb348bb42d9e09cce2d733b2b592048b0c85b30c4e3","cross_cats_sorted":["math.CO","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2019-08-13T12:52:55Z","title_canon_sha256":"a20ae310f63e69064c32af13ae35448e62b8cee7232d69d1ac12942e92a26d86"},"schema_version":"1.0","source":{"id":"1908.04614","kind":"arxiv","version":1}},"canonical_sha256":"1345f428a3fa60af3225bcbea1295f16d02e20684502c4e0b422823225ebc727","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1345f428a3fa60af3225bcbea1295f16d02e20684502c4e0b422823225ebc727","first_computed_at":"2026-07-04T23:55:15.037239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:55:15.037239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LXbMAEZBmBurZMsdIk0/8/cyZ9OIyBsFOYRxtgm7tAal68qrjLMzp5w9/aF/tAbT3F2c95sBMrWLbZiDS0KbCA==","signature_status":"signed_v1","signed_at":"2026-07-04T23:55:15.037571Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04614","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53ace2cdb714347da965a6e4839f84c34a9cc3bc27a8db7df020d5c74c2cfef5","sha256:750b5111a3c30801ab0a577695204d46c76ba91b76d4cb199c4558b70767f425"],"state_sha256":"dc982242a4e376192a60aaf1fa0505873533428c73e7f2146e9eba50892d87bc"}