{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:F2RXCVQNLX2RVE4O6GGE263ZOA","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":"8264e99bed8b7f82b1933d74db4e1036f8585d4e619b761ab20209dba7bd27c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-12-02T04:02:28Z","title_canon_sha256":"5ebdbf2c8abdeeba2c9895d886c7dafe38f413720537c718a5fc2fb1ad66b700"},"schema_version":"1.0","source":{"id":"1312.0320","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0320","created_at":"2026-05-18T03:05:46Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0320v1","created_at":"2026-05-18T03:05:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0320","created_at":"2026-05-18T03:05:46Z"},{"alias_kind":"pith_short_12","alias_value":"F2RXCVQNLX2R","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"F2RXCVQNLX2RVE4O","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"F2RXCVQN","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:ff8ad694344f400ad31f6b8b9db3693a05de56736314daf3ae992eec75d175c8","target":"graph","created_at":"2026-05-18T03:05:46Z","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 present a simple procedure for explicitly constructing a companion basis for a quiver mutation equivalent to a simply-laced Dynkin quiver.","authors_text":"Mark James Parsons","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-12-02T04:02:28Z","title":"Explicit construction of companion bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0320","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":"sha256:6bec542bb8413612eb3c327f14d3539d3287721305fb3d6f9024b5760736b203","target":"record","created_at":"2026-05-18T03:05:46Z","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":"8264e99bed8b7f82b1933d74db4e1036f8585d4e619b761ab20209dba7bd27c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-12-02T04:02:28Z","title_canon_sha256":"5ebdbf2c8abdeeba2c9895d886c7dafe38f413720537c718a5fc2fb1ad66b700"},"schema_version":"1.0","source":{"id":"1312.0320","kind":"arxiv","version":1}},"canonical_sha256":"2ea371560d5df51a938ef18c4d7b79702e129b6abe85251a4b8f460cc437843e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ea371560d5df51a938ef18c4d7b79702e129b6abe85251a4b8f460cc437843e","first_computed_at":"2026-05-18T03:05:46.072808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:46.072808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VLEFrxpLgxgN7UKQJwcvWm05SOILQu9u3FuGJLbGUtAofLh3VusxMdgOP1DanZaCrcDU8EuhG4kpIBAhunbyCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:46.073553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.0320","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bec542bb8413612eb3c327f14d3539d3287721305fb3d6f9024b5760736b203","sha256:ff8ad694344f400ad31f6b8b9db3693a05de56736314daf3ae992eec75d175c8"],"state_sha256":"465247e0d5dce7ce1fbf6c17d3206e42eee1ea1659f245d7b0a05ffe5e0e0653"}