{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:BZ4BLTGELMBIRPZA6EBZNYW2HR","short_pith_number":"pith:BZ4BLTGE","schema_version":"1.0","canonical_sha256":"0e7815ccc45b0288bf20f10396e2da3c6f3413590d408bdd5fe1adc1c519e9ab","source":{"kind":"arxiv","id":"1707.07190","version":3},"attestation_state":"computed","paper":{"title":"Introduction to Cluster Algebras. Chapters 4-5","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA","math.RT"],"primary_cat":"math.CO","authors_text":"Andrei Zelevinsky, Lauren Williams, Sergey Fomin","submitted_at":"2017-07-22T16:27:28Z","abstract_excerpt":"This is a preliminary draft of Chapters 4-5 of our forthcoming textbook \"Introduction to Cluster Algebras.\" Chapters 1-3 have been posted as arXiv:1608.05735.\n  This installment contains:\n  Chapter 4. New patterns from old\n  Chapter 5. Finite type classification"},"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":"1707.07190","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-07-22T16:27:28Z","cross_cats_sorted":["math.RA","math.RT"],"title_canon_sha256":"a53523c31b2a4a96fb4498a646c05c01d1cf0f3d530f0e51df3007cf0976be8f","abstract_canon_sha256":"0cb24ce1b81e28718698f7a4022a19a1096c927bfc17ce7fd49aab9e7ee4a3ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:09:41.740055Z","signature_b64":"hQ6ZZJZ6TUz+ROixGTJLPM8mq3EEMYrGF7+8Z2+k50PrSnroapBD2fO+b2TWoqzngDxT86ULHfd3mvssO8zuAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e7815ccc45b0288bf20f10396e2da3c6f3413590d408bdd5fe1adc1c519e9ab","last_reissued_at":"2026-07-05T03:09:41.739695Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:09:41.739695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Introduction to Cluster Algebras. Chapters 4-5","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA","math.RT"],"primary_cat":"math.CO","authors_text":"Andrei Zelevinsky, Lauren Williams, Sergey Fomin","submitted_at":"2017-07-22T16:27:28Z","abstract_excerpt":"This is a preliminary draft of Chapters 4-5 of our forthcoming textbook \"Introduction to Cluster Algebras.\" Chapters 1-3 have been posted as arXiv:1608.05735.\n  This installment contains:\n  Chapter 4. New patterns from old\n  Chapter 5. Finite type classification"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07190","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1707.07190/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1707.07190","created_at":"2026-07-05T03:09:41.739750+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.07190v3","created_at":"2026-07-05T03:09:41.739750+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07190","created_at":"2026-07-05T03:09:41.739750+00:00"},{"alias_kind":"pith_short_12","alias_value":"BZ4BLTGELMBI","created_at":"2026-07-05T03:09:41.739750+00:00"},{"alias_kind":"pith_short_16","alias_value":"BZ4BLTGELMBIRPZA","created_at":"2026-07-05T03:09:41.739750+00:00"},{"alias_kind":"pith_short_8","alias_value":"BZ4BLTGE","created_at":"2026-07-05T03:09:41.739750+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.23474","citing_title":"On Two Approaches to Cluster Structures on Partial Flag Varieties","ref_index":3,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BZ4BLTGELMBIRPZA6EBZNYW2HR","json":"https://pith.science/pith/BZ4BLTGELMBIRPZA6EBZNYW2HR.json","graph_json":"https://pith.science/api/pith-number/BZ4BLTGELMBIRPZA6EBZNYW2HR/graph.json","events_json":"https://pith.science/api/pith-number/BZ4BLTGELMBIRPZA6EBZNYW2HR/events.json","paper":"https://pith.science/paper/BZ4BLTGE"},"agent_actions":{"view_html":"https://pith.science/pith/BZ4BLTGELMBIRPZA6EBZNYW2HR","download_json":"https://pith.science/pith/BZ4BLTGELMBIRPZA6EBZNYW2HR.json","view_paper":"https://pith.science/paper/BZ4BLTGE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.07190&json=true","fetch_graph":"https://pith.science/api/pith-number/BZ4BLTGELMBIRPZA6EBZNYW2HR/graph.json","fetch_events":"https://pith.science/api/pith-number/BZ4BLTGELMBIRPZA6EBZNYW2HR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BZ4BLTGELMBIRPZA6EBZNYW2HR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BZ4BLTGELMBIRPZA6EBZNYW2HR/action/storage_attestation","attest_author":"https://pith.science/pith/BZ4BLTGELMBIRPZA6EBZNYW2HR/action/author_attestation","sign_citation":"https://pith.science/pith/BZ4BLTGELMBIRPZA6EBZNYW2HR/action/citation_signature","submit_replication":"https://pith.science/pith/BZ4BLTGELMBIRPZA6EBZNYW2HR/action/replication_record"}},"created_at":"2026-07-05T03:09:41.739750+00:00","updated_at":"2026-07-05T03:09:41.739750+00:00"}