{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:S5GC2ADKNJ35EER64EEDAPESBU","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":"b57de5572a868cfca1b357c97b77aebde264b3d2dcd539380c0728fc9488f541","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2008-04-04T17:33:17Z","title_canon_sha256":"6a56fca64cedce33e9e89822280b3cbca8f8e634258c34e6de3a70e88af790a1"},"schema_version":"1.0","source":{"id":"0804.0787","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.0787","created_at":"2026-07-04T15:10:38Z"},{"alias_kind":"arxiv_version","alias_value":"0804.0787v1","created_at":"2026-07-04T15:10:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.0787","created_at":"2026-07-04T15:10:38Z"},{"alias_kind":"pith_short_12","alias_value":"S5GC2ADKNJ35","created_at":"2026-07-04T15:10:38Z"},{"alias_kind":"pith_short_16","alias_value":"S5GC2ADKNJ35EER6","created_at":"2026-07-04T15:10:38Z"},{"alias_kind":"pith_short_8","alias_value":"S5GC2ADK","created_at":"2026-07-04T15:10:38Z"}],"graph_snapshots":[{"event_id":"sha256:e13876e72c6813b976ecdc8e95f840c8b383a0c65b3e551e31b94507648f3f32","target":"graph","created_at":"2026-07-04T15:10:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0804.0787/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"To a directed graph without loops and 2-cycles, we can associate a skew-symmetric matrix with integer entries. Mutations of such skew-symmetric matrices, and more generally skew-symmetrizable matrices, have been defined in the context of cluster algebras by Fomin and Zelevinsky. The mutation class of a graph G is the set of all isomorphism classes of graphs that can be obtained from G by a sequence of mutations. A graph is called mutation-finite if its mutation class is finite. Fomin, Shapiro and Thurston constructed mutation-finite graphs from triangulations of oriented bordered surfaces with","authors_text":"Harm Derksen, Theodore Owen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2008-04-04T17:33:17Z","title":"New Graphs of Finite Mutation Type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.0787","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":"sha256:380215ec8eaae256d4a316812a29b3f1c90b64b80339e6715e5a634080813f6c","target":"record","created_at":"2026-07-04T15:10:38Z","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":"b57de5572a868cfca1b357c97b77aebde264b3d2dcd539380c0728fc9488f541","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2008-04-04T17:33:17Z","title_canon_sha256":"6a56fca64cedce33e9e89822280b3cbca8f8e634258c34e6de3a70e88af790a1"},"schema_version":"1.0","source":{"id":"0804.0787","kind":"arxiv","version":1}},"canonical_sha256":"974c2d006a6a77d2123ee108303c920d25677b14a412057836a2b37e9ef70714","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"974c2d006a6a77d2123ee108303c920d25677b14a412057836a2b37e9ef70714","first_computed_at":"2026-07-04T15:10:38.786050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:10:38.786050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sE5bE996U/WOYiobUWpaugu1t/zBb3EGVTsDdC3A+Z10Ftid+84SOi7VW5dvMZv6UrLL9MpQMYHUIXc8oAk1CQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:10:38.786945Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.0787","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:380215ec8eaae256d4a316812a29b3f1c90b64b80339e6715e5a634080813f6c","sha256:e13876e72c6813b976ecdc8e95f840c8b383a0c65b3e551e31b94507648f3f32"],"state_sha256":"72d31ca5c14e6ebe5116f70ec58553780447382e2bc768b182fe43fe07d16fc3"}