{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MELHNHFH2F4RJTC72BCRPIXGTZ","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":"3cff375e6cf5280e829798fb39f5834ae41d870b279b4e9ed17e1d129b37b193","cross_cats_sorted":["cs.SC","math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-02-05T20:05:04Z","title_canon_sha256":"6f4963fb5d9c5d2478174afa009369ba695ba6f4de6ec0bec8e23fda797b23b1"},"schema_version":"1.0","source":{"id":"1602.02801","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02801","created_at":"2026-05-18T01:17:30Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02801v2","created_at":"2026-05-18T01:17:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02801","created_at":"2026-05-18T01:17:30Z"},{"alias_kind":"pith_short_12","alias_value":"MELHNHFH2F4R","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MELHNHFH2F4RJTC7","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MELHNHFH","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:21df3682b319b38fda23b3cb0263fe9fda43d1973140f48207605b7e49a60bbb","target":"graph","created_at":"2026-05-18T01:17:30Z","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 extend the definition and study the algebraic properties of the polylogarithm Li(T), where T is rational series over the alphabet X = {x 0, x 1} belonging to suitable subalgebras of rational series.","authors_text":"G\\'erard Duchamp (LIPN), Hoang Ngoc Minh (LIPN), Ngoc Hoang (LIPN)","cross_cats":["cs.SC","math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-02-05T20:05:04Z","title":"The algebra of Kleene stars of the plane and polylogarithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02801","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":"sha256:8cfb95b019aaa65e2cf1f3b460211993eb6930baf298f3d376f8f132a94b4dbc","target":"record","created_at":"2026-05-18T01:17:30Z","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":"3cff375e6cf5280e829798fb39f5834ae41d870b279b4e9ed17e1d129b37b193","cross_cats_sorted":["cs.SC","math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-02-05T20:05:04Z","title_canon_sha256":"6f4963fb5d9c5d2478174afa009369ba695ba6f4de6ec0bec8e23fda797b23b1"},"schema_version":"1.0","source":{"id":"1602.02801","kind":"arxiv","version":2}},"canonical_sha256":"6116769ca7d17914cc5fd04517a2e69e75fb4c41f0ad75b88b9742e4cc1385a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6116769ca7d17914cc5fd04517a2e69e75fb4c41f0ad75b88b9742e4cc1385a1","first_computed_at":"2026-05-18T01:17:30.231854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:30.231854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JAawWF3pC06d9cN6chs4ih0Sldm4NduG+3gzBTnJ/K3OIfixasVElTXkx4OQgnaRHD5PZtPPSt586j1yDTxyAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:30.232538Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.02801","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cfb95b019aaa65e2cf1f3b460211993eb6930baf298f3d376f8f132a94b4dbc","sha256:21df3682b319b38fda23b3cb0263fe9fda43d1973140f48207605b7e49a60bbb"],"state_sha256":"d3759facda4c4c4dc2e4735cbb65d2c07929e802cf445751fb8bb6e464c52661"}