{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:5WQMMOS6NFVYCTHI5NM7YIPEX7","short_pith_number":"pith:5WQMMOS6","schema_version":"1.0","canonical_sha256":"eda0c63a5e696b814ce8eb59fc21e4bfcc6206626cf77f2ea5908795d40e96f2","source":{"kind":"arxiv","id":"1904.03928","version":1},"attestation_state":"computed","paper":{"title":"Exchange graphs for mutation-finite non-integer quivers of rank 3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG","math.RA"],"primary_cat":"math.CO","authors_text":"Anna Felikson, Philipp Lampe","submitted_at":"2019-04-08T10:15:45Z","abstract_excerpt":"Skew-symmetric non-integer matrices with real entries can be viewed as quivers with non-integer weights of arrows. One can mutate such quivers according to usual rules of quiver mutation. Felikson and Tumarkin show that rank 3 mutation-finite non-integer quivers admit geometric realisations by partial reflections. This allows to define a notion of seeds (as Y-seeds), and hence, to define the exchange graphs for mutation classes. In this paper we study exchange graphs of mutation-finite quivers in rank 3. The concept of finite and affine type generalises naturally to non-integer quivers. In par"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1904.03928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-04-08T10:15:45Z","cross_cats_sorted":["math.MG","math.RA"],"title_canon_sha256":"d353194d6a77be11eb674b5c222a88f3f1f332e95baf0cfd11f4f3617d0ae58b","abstract_canon_sha256":"80a79d50a72a3ff52078b024dbd4babf019aa3ea9f153137b45f91e76013401a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:07.647171Z","signature_b64":"3LxeNY9/FNoudrhvwEnuSWi0mWuHM7VNOISNca4KeeWKjTL033mmsTb9OO0W2ftenrORug4E7KZlLPYttOfRAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eda0c63a5e696b814ce8eb59fc21e4bfcc6206626cf77f2ea5908795d40e96f2","last_reissued_at":"2026-05-17T23:49:07.646694Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:07.646694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exchange graphs for mutation-finite non-integer quivers of rank 3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG","math.RA"],"primary_cat":"math.CO","authors_text":"Anna Felikson, Philipp Lampe","submitted_at":"2019-04-08T10:15:45Z","abstract_excerpt":"Skew-symmetric non-integer matrices with real entries can be viewed as quivers with non-integer weights of arrows. One can mutate such quivers according to usual rules of quiver mutation. Felikson and Tumarkin show that rank 3 mutation-finite non-integer quivers admit geometric realisations by partial reflections. This allows to define a notion of seeds (as Y-seeds), and hence, to define the exchange graphs for mutation classes. In this paper we study exchange graphs of mutation-finite quivers in rank 3. The concept of finite and affine type generalises naturally to non-integer quivers. In par"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.03928","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1904.03928","created_at":"2026-05-17T23:49:07.646767+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.03928v1","created_at":"2026-05-17T23:49:07.646767+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.03928","created_at":"2026-05-17T23:49:07.646767+00:00"},{"alias_kind":"pith_short_12","alias_value":"5WQMMOS6NFVY","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"5WQMMOS6NFVYCTHI","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"5WQMMOS6","created_at":"2026-05-18T12:33:10.108867+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5WQMMOS6NFVYCTHI5NM7YIPEX7","json":"https://pith.science/pith/5WQMMOS6NFVYCTHI5NM7YIPEX7.json","graph_json":"https://pith.science/api/pith-number/5WQMMOS6NFVYCTHI5NM7YIPEX7/graph.json","events_json":"https://pith.science/api/pith-number/5WQMMOS6NFVYCTHI5NM7YIPEX7/events.json","paper":"https://pith.science/paper/5WQMMOS6"},"agent_actions":{"view_html":"https://pith.science/pith/5WQMMOS6NFVYCTHI5NM7YIPEX7","download_json":"https://pith.science/pith/5WQMMOS6NFVYCTHI5NM7YIPEX7.json","view_paper":"https://pith.science/paper/5WQMMOS6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.03928&json=true","fetch_graph":"https://pith.science/api/pith-number/5WQMMOS6NFVYCTHI5NM7YIPEX7/graph.json","fetch_events":"https://pith.science/api/pith-number/5WQMMOS6NFVYCTHI5NM7YIPEX7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5WQMMOS6NFVYCTHI5NM7YIPEX7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5WQMMOS6NFVYCTHI5NM7YIPEX7/action/storage_attestation","attest_author":"https://pith.science/pith/5WQMMOS6NFVYCTHI5NM7YIPEX7/action/author_attestation","sign_citation":"https://pith.science/pith/5WQMMOS6NFVYCTHI5NM7YIPEX7/action/citation_signature","submit_replication":"https://pith.science/pith/5WQMMOS6NFVYCTHI5NM7YIPEX7/action/replication_record"}},"created_at":"2026-05-17T23:49:07.646767+00:00","updated_at":"2026-05-17T23:49:07.646767+00:00"}