{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QI5ZM6POYKPBCXSLQKUJDUWCDS","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":"48135bc40b278ebdea31792e1be5023e2d8f62ca4f3bb15def3827cade25a0a6","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-01-15T14:26:23Z","title_canon_sha256":"9f710460415df92a8ff4fc6f91e4539b92636a25d3a8499afbd14abc1a095d9e"},"schema_version":"1.0","source":{"id":"1501.03690","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.03690","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"arxiv_version","alias_value":"1501.03690v3","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03690","created_at":"2026-05-18T01:09:07Z"},{"alias_kind":"pith_short_12","alias_value":"QI5ZM6POYKPB","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QI5ZM6POYKPBCXSL","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QI5ZM6PO","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:c6e4e0b3ec2b9815fbee6eb32eaffab6c8b7df3d9737216e3e4dbcf86500baaf","target":"graph","created_at":"2026-05-18T01:09:07Z","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 that the two binary operations in double inverse semigroups, as considered by Kock [2007], necessarily coincide.","authors_text":"Darien DeWolf, Dorette Pronk","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-01-15T14:26:23Z","title":"On Double Inverse Semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03690","kind":"arxiv","version":3},"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:cf55eb07cffd99bf8af07b61a7c8ac4fbfdbcd6b88c003d83c7f2e81dead5bbe","target":"record","created_at":"2026-05-18T01:09:07Z","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":"48135bc40b278ebdea31792e1be5023e2d8f62ca4f3bb15def3827cade25a0a6","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2015-01-15T14:26:23Z","title_canon_sha256":"9f710460415df92a8ff4fc6f91e4539b92636a25d3a8499afbd14abc1a095d9e"},"schema_version":"1.0","source":{"id":"1501.03690","kind":"arxiv","version":3}},"canonical_sha256":"823b9679eec29e115e4b82a891d2c21ca524ee4b182e5ca1b6f8e443a1c4088b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"823b9679eec29e115e4b82a891d2c21ca524ee4b182e5ca1b6f8e443a1c4088b","first_computed_at":"2026-05-18T01:09:07.171499Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:07.171499Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QGrZDmZUadkRnjhz9f4IMOoN2rc8JcBe1q3ERbeNilPww4fBePBHVQJBf1mq+4b6SbwV6j9wOHa7NUNqoJSWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:07.171942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.03690","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf55eb07cffd99bf8af07b61a7c8ac4fbfdbcd6b88c003d83c7f2e81dead5bbe","sha256:c6e4e0b3ec2b9815fbee6eb32eaffab6c8b7df3d9737216e3e4dbcf86500baaf"],"state_sha256":"65039c90c2312d0f80bbe8e5067b6b42cabd3c695690461c090464a757d08290"}