{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:NZKJ3VU5UCHCFTNJEMJFR2SAJ2","short_pith_number":"pith:NZKJ3VU5","schema_version":"1.0","canonical_sha256":"6e549dd69da08e22cda9231258ea404e88e45500434156b3119c40f2489a6a01","source":{"kind":"arxiv","id":"1503.04675","version":4},"attestation_state":"computed","paper":{"title":"The existence of a maximal green sequence is not invariant under quiver mutation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.QA","authors_text":"Greg Muller","submitted_at":"2015-03-16T14:53:09Z","abstract_excerpt":"This note provides a quiver which does not admit a maximal green sequence, but which is mutation-equivalent to a quiver which does admit a maximal green sequence. The proof uses the `scattering diagrams' of Gross-Hacking-Keel-Kontsevich to show that a maximal green sequence for a quiver determines a maximal green sequence for any induced subquiver."},"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":"1503.04675","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-03-16T14:53:09Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"092ecd21d904796691917babf4a93f4e3062df9797ef653db8836fbe98620ed7","abstract_canon_sha256":"8ac73df023862238d9366e10d2c48026dc3bf27e64d41e010f69e8ddf0f5ecf8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:55.201909Z","signature_b64":"N2gVAZMnzSkHWB0pwLDBMhvGnwxhybF0wY52CJyX/IW4RXaKPBar+UaZxW1DP584aJar+qICJL3dHg8isYpiAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e549dd69da08e22cda9231258ea404e88e45500434156b3119c40f2489a6a01","last_reissued_at":"2026-05-18T01:11:55.201572Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:55.201572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The existence of a maximal green sequence is not invariant under quiver mutation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.QA","authors_text":"Greg Muller","submitted_at":"2015-03-16T14:53:09Z","abstract_excerpt":"This note provides a quiver which does not admit a maximal green sequence, but which is mutation-equivalent to a quiver which does admit a maximal green sequence. The proof uses the `scattering diagrams' of Gross-Hacking-Keel-Kontsevich to show that a maximal green sequence for a quiver determines a maximal green sequence for any induced subquiver."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04675","kind":"arxiv","version":4},"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":"1503.04675","created_at":"2026-05-18T01:11:55.201628+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.04675v4","created_at":"2026-05-18T01:11:55.201628+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04675","created_at":"2026-05-18T01:11:55.201628+00:00"},{"alias_kind":"pith_short_12","alias_value":"NZKJ3VU5UCHC","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"NZKJ3VU5UCHCFTNJ","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"NZKJ3VU5","created_at":"2026-05-18T12:29:34.919912+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/NZKJ3VU5UCHCFTNJEMJFR2SAJ2","json":"https://pith.science/pith/NZKJ3VU5UCHCFTNJEMJFR2SAJ2.json","graph_json":"https://pith.science/api/pith-number/NZKJ3VU5UCHCFTNJEMJFR2SAJ2/graph.json","events_json":"https://pith.science/api/pith-number/NZKJ3VU5UCHCFTNJEMJFR2SAJ2/events.json","paper":"https://pith.science/paper/NZKJ3VU5"},"agent_actions":{"view_html":"https://pith.science/pith/NZKJ3VU5UCHCFTNJEMJFR2SAJ2","download_json":"https://pith.science/pith/NZKJ3VU5UCHCFTNJEMJFR2SAJ2.json","view_paper":"https://pith.science/paper/NZKJ3VU5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.04675&json=true","fetch_graph":"https://pith.science/api/pith-number/NZKJ3VU5UCHCFTNJEMJFR2SAJ2/graph.json","fetch_events":"https://pith.science/api/pith-number/NZKJ3VU5UCHCFTNJEMJFR2SAJ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NZKJ3VU5UCHCFTNJEMJFR2SAJ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NZKJ3VU5UCHCFTNJEMJFR2SAJ2/action/storage_attestation","attest_author":"https://pith.science/pith/NZKJ3VU5UCHCFTNJEMJFR2SAJ2/action/author_attestation","sign_citation":"https://pith.science/pith/NZKJ3VU5UCHCFTNJEMJFR2SAJ2/action/citation_signature","submit_replication":"https://pith.science/pith/NZKJ3VU5UCHCFTNJEMJFR2SAJ2/action/replication_record"}},"created_at":"2026-05-18T01:11:55.201628+00:00","updated_at":"2026-05-18T01:11:55.201628+00:00"}