{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:YZJDDCHFTUL3FBMPNGJCLQHRPB","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":"72d06770c28f5f2958f6ef75de7dcfb234678d97c9f95b10a6c0594839a2c28a","cross_cats_sorted":[],"license":"","primary_cat":"math.GR","submitted_at":"2004-06-02T18:16:33Z","title_canon_sha256":"8e01b8b13bfbff61cb17ab47b02f712bdae68026aa16858b2eb57cf912cffd78"},"schema_version":"1.0","source":{"id":"math/0406042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0406042","created_at":"2026-05-18T03:14:18Z"},{"alias_kind":"arxiv_version","alias_value":"math/0406042v1","created_at":"2026-05-18T03:14:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0406042","created_at":"2026-05-18T03:14:18Z"},{"alias_kind":"pith_short_12","alias_value":"YZJDDCHFTUL3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"YZJDDCHFTUL3FBMP","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"YZJDDCHF","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:0cd77909ee3938090308ec8f908becc4175e0309a623869ed32592d51994dc8c","target":"graph","created_at":"2026-05-18T03:14:18Z","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 construct a braided version of Thompson's group V.","authors_text":"Matthew G. Brin","cross_cats":[],"headline":"","license":"","primary_cat":"math.GR","submitted_at":"2004-06-02T18:16:33Z","title":"The Algebra of Strand Splitting. I. A Braided Version of Thompson's Group V"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0406042","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:a8f14a611819d8d4a7ad200b25effa11be9aedf2f5838d4f0fb05e39d641d736","target":"record","created_at":"2026-05-18T03:14:18Z","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":"72d06770c28f5f2958f6ef75de7dcfb234678d97c9f95b10a6c0594839a2c28a","cross_cats_sorted":[],"license":"","primary_cat":"math.GR","submitted_at":"2004-06-02T18:16:33Z","title_canon_sha256":"8e01b8b13bfbff61cb17ab47b02f712bdae68026aa16858b2eb57cf912cffd78"},"schema_version":"1.0","source":{"id":"math/0406042","kind":"arxiv","version":1}},"canonical_sha256":"c6523188e59d17b2858f699225c0f17863dd16070dd3ae44cd21ba193e337daa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6523188e59d17b2858f699225c0f17863dd16070dd3ae44cd21ba193e337daa","first_computed_at":"2026-05-18T03:14:18.013917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:18.013917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sbkXAwyOgYJH8+WHGASE2FiJyhbgSwAvjaxTEOXb9Tf3UyDVPYvt7KkyATBt71KRRlRXUSCqqYfpAlx8Rc1TBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:18.014401Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0406042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8f14a611819d8d4a7ad200b25effa11be9aedf2f5838d4f0fb05e39d641d736","sha256:0cd77909ee3938090308ec8f908becc4175e0309a623869ed32592d51994dc8c"],"state_sha256":"c593847892fe5d6ef4a35386836ae226c9cbeda30e7a913473d61dc8dbacf169"}