{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:S7IQFPYEJBDFPWZWLELVCKIZS7","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":"fdee42afc1b731b9f139387d31362a4fce0e198b7456d62a46882e6e28c87358","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-05T17:20:58Z","title_canon_sha256":"12a903a8bd7bfcf3e81c5bb9ad92f2b3b3e1ec8986033d9cec3980b9f464e106"},"schema_version":"1.0","source":{"id":"1402.1094","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1094","created_at":"2026-05-18T00:35:49Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1094v1","created_at":"2026-05-18T00:35:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1094","created_at":"2026-05-18T00:35:49Z"},{"alias_kind":"pith_short_12","alias_value":"S7IQFPYEJBDF","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"S7IQFPYEJBDFPWZW","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"S7IQFPYE","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:c5e7f48d40d084be457ce283c346e5e31b03c223f9a7fdb6b0d2d02fad4c4162","target":"graph","created_at":"2026-05-18T00:35:49Z","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":"The article concerns the existence and uniqueness of quantisations of cluster algebras. We prove that cluster algebras with an initial exchange matrix of full rank admit a quantisation in the sense of Berenstein-Zelevinsky and give an explicit generating set to construct all quantisations.","authors_text":"Florian Gellert, Philipp Lampe","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-05T17:20:58Z","title":"Quantisation Spaces of Cluster Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1094","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":"sha256:90380be0206d728061d119c07d22e7c73bf32ca4b2b4d70b11f1469dd8b0840a","target":"record","created_at":"2026-05-18T00:35:49Z","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":"fdee42afc1b731b9f139387d31362a4fce0e198b7456d62a46882e6e28c87358","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-05T17:20:58Z","title_canon_sha256":"12a903a8bd7bfcf3e81c5bb9ad92f2b3b3e1ec8986033d9cec3980b9f464e106"},"schema_version":"1.0","source":{"id":"1402.1094","kind":"arxiv","version":1}},"canonical_sha256":"97d102bf04484657db36591751291997d2d1f8cf3005798a761f0a9b57c583c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97d102bf04484657db36591751291997d2d1f8cf3005798a761f0a9b57c583c7","first_computed_at":"2026-05-18T00:35:49.320220Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:49.320220Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WXXSoO1pZiH7k0Jl8EA3rFrJbbQoigcYMWmbupILsGfPT/6EPVan1bQFwEx/XW9qROxc+RSevt0pMO+1OtJWCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:49.320743Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1094","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90380be0206d728061d119c07d22e7c73bf32ca4b2b4d70b11f1469dd8b0840a","sha256:c5e7f48d40d084be457ce283c346e5e31b03c223f9a7fdb6b0d2d02fad4c4162"],"state_sha256":"6a58514e09fe1894dcc600b76f3e95f733a99d41b1d5be2f605012b835553133"}