{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KER5I5RZZ65ZJG4S4T7C2YKYMB","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":"5deadbb7be52312921679e97f120df80645d22a66d18e70d40207f909e107e30","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-09-15T02:56:42Z","title_canon_sha256":"ece20552d53073d4fc6d4e23525b357f0e830cbc9b74f252420b44c55a0cc956"},"schema_version":"1.0","source":{"id":"1209.3349","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3349","created_at":"2026-05-18T03:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3349v3","created_at":"2026-05-18T03:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3349","created_at":"2026-05-18T03:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"KER5I5RZZ65Z","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KER5I5RZZ65ZJG4S","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KER5I5RZ","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:1803c1356cbd627d6b33a7b36fb32289ff8c06b3b62e1f16a82b1552d4dcbbd4","target":"graph","created_at":"2026-05-18T03:01:11Z","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":"In this paper, we introduce certain new features of the shuffle algebra, that will allow us to obtain explicit formulas for the isomorphism between its Drinfeld double and the elliptic Hall algebra.","authors_text":"Andrei Negut","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-09-15T02:56:42Z","title":"The Shuffle Algebra Revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3349","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":"sha256:8226303fdd6ec2a521c072bff3134ad0d5b9151be4c325d169e458965f0d6a97","target":"record","created_at":"2026-05-18T03:01:11Z","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":"5deadbb7be52312921679e97f120df80645d22a66d18e70d40207f909e107e30","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2012-09-15T02:56:42Z","title_canon_sha256":"ece20552d53073d4fc6d4e23525b357f0e830cbc9b74f252420b44c55a0cc956"},"schema_version":"1.0","source":{"id":"1209.3349","kind":"arxiv","version":3}},"canonical_sha256":"5123d47639cfbb949b92e4fe2d6158606914ffc38b764b6cd917f751fe0b7676","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5123d47639cfbb949b92e4fe2d6158606914ffc38b764b6cd917f751fe0b7676","first_computed_at":"2026-05-18T03:01:11.063707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:11.063707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4DhVILykFaj4WLMcDWpSFGekeB4J9lHaGo9U/G0sfasMR/1MjTIb6eElMObgeyACRkY7x8H+09KzobMEr+t7BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:11.064175Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3349","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8226303fdd6ec2a521c072bff3134ad0d5b9151be4c325d169e458965f0d6a97","sha256:1803c1356cbd627d6b33a7b36fb32289ff8c06b3b62e1f16a82b1552d4dcbbd4"],"state_sha256":"cc18533f6c1628a5af7a0988d0965a2f80e812b84bcc33576b88ed79e7250e7c"}