{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7CC34GO3DPZEE73VUAIPO7XPYD","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":"29350c544683d71ab9e457ea81c52263aeb2f2b495fc7e64db44a51546372a9d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-05T21:47:20Z","title_canon_sha256":"ef9eeaaed28cda67335caffa1210864a12a22bdb3c56373b3f725e70518a8506"},"schema_version":"1.0","source":{"id":"1712.01940","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.01940","created_at":"2026-05-18T00:08:43Z"},{"alias_kind":"arxiv_version","alias_value":"1712.01940v2","created_at":"2026-05-18T00:08:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.01940","created_at":"2026-05-18T00:08:43Z"},{"alias_kind":"pith_short_12","alias_value":"7CC34GO3DPZE","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"7CC34GO3DPZEE73V","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"7CC34GO3","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:5785771ee66f000704318519d68103430cbabbc3a6729f9cc27e1851aabf4512","target":"graph","created_at":"2026-05-18T00:08:43Z","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":"For a family of height one orders $(X,\\le)$ and each non-degenerate solution $r_0\\colon X\\times X\\longrightarrow X\\times X$ of the set-theoretic braid equation on $X$ satisfying suitable conditions, we obtain all the non-degenerate solutions of the braid equation on the incidence coalgebra of $(X,\\le)$ that extend $r_0$.","authors_text":"Christian Valqui, Jorge Alberto Guccione, Juan Jos\\'e Guccione","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-05T21:47:20Z","title":"Solutions of the Braid Equation with set-type square"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.01940","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:e4d4c05b6466f3cbb2219c6ea05b99a9c123d06e15ed0bc81fd2a068e99b0aa0","target":"record","created_at":"2026-05-18T00:08:43Z","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":"29350c544683d71ab9e457ea81c52263aeb2f2b495fc7e64db44a51546372a9d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-12-05T21:47:20Z","title_canon_sha256":"ef9eeaaed28cda67335caffa1210864a12a22bdb3c56373b3f725e70518a8506"},"schema_version":"1.0","source":{"id":"1712.01940","kind":"arxiv","version":2}},"canonical_sha256":"f885be19db1bf2427f75a010f77eefc0fc692084bd3eed99c2c16d094b66e9ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f885be19db1bf2427f75a010f77eefc0fc692084bd3eed99c2c16d094b66e9ef","first_computed_at":"2026-05-18T00:08:43.889609Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:43.889609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C5F2ggfVw5ckQHLdrqu+4wSpsR2+n/eGlGdV1qjoBBgXw5W3PFE1YsjrN9908mYrV9bdarIKLGsrFRHM7plSBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:43.890367Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.01940","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4d4c05b6466f3cbb2219c6ea05b99a9c123d06e15ed0bc81fd2a068e99b0aa0","sha256:5785771ee66f000704318519d68103430cbabbc3a6729f9cc27e1851aabf4512"],"state_sha256":"3c0d21f6d14c1271eb20e1b7da53ce4bc6594408407269a37064f0ab0d17cbe2"}