{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RJBTMGUOWRF6Z7LARWCTII5P43","short_pith_number":"pith:RJBTMGUO","schema_version":"1.0","canonical_sha256":"8a43361a8eb44becfd608d853423afe6f1522376114a6f127c59ee449af57794","source":{"kind":"arxiv","id":"1710.02119","version":3},"attestation_state":"computed","paper":{"title":"A $\\tau$-Tilting Approach to Dissections of Polygons","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Pierre-Guy Plamondon, Salvatore Stella, Vincent Pilaud","submitted_at":"2017-10-05T17:11:05Z","abstract_excerpt":"We show that any accordion complex associated to a dissection of a convex polygon is isomorphic to the support $\\tau$-tilting simplicial complex of an explicit finite dimensional algebra. To this end, we prove a property of some induced subcomplexes of support $\\tau$-tilting simplicial complexes of finite dimensional algebras."},"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":"1710.02119","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.RT","submitted_at":"2017-10-05T17:11:05Z","cross_cats_sorted":[],"title_canon_sha256":"e9078cd4cdb06f76df55be996f5fdade0e09f52faa89dbaeaf801d8ef3ba8ad6","abstract_canon_sha256":"7e94efb321036165bcec790b4624af8e39b27fcad42ecb044344cdccfa693a7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:08.643195Z","signature_b64":"gX4LuCjS8KjLSa2m4dGmHNYr5DvD4FeDWYOUxVtdpDPesWfb0LwktFHWT4piuRBK/GgkS62BZelBvL6w+frBAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a43361a8eb44becfd608d853423afe6f1522376114a6f127c59ee449af57794","last_reissued_at":"2026-05-18T00:16:08.642516Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:08.642516Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A $\\tau$-Tilting Approach to Dissections of Polygons","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Pierre-Guy Plamondon, Salvatore Stella, Vincent Pilaud","submitted_at":"2017-10-05T17:11:05Z","abstract_excerpt":"We show that any accordion complex associated to a dissection of a convex polygon is isomorphic to the support $\\tau$-tilting simplicial complex of an explicit finite dimensional algebra. To this end, we prove a property of some induced subcomplexes of support $\\tau$-tilting simplicial complexes of finite dimensional algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02119","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":""},"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":"1710.02119","created_at":"2026-05-18T00:16:08.642634+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.02119v3","created_at":"2026-05-18T00:16:08.642634+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02119","created_at":"2026-05-18T00:16:08.642634+00:00"},{"alias_kind":"pith_short_12","alias_value":"RJBTMGUOWRF6","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RJBTMGUOWRF6Z7LA","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RJBTMGUO","created_at":"2026-05-18T12:31:39.905425+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/RJBTMGUOWRF6Z7LARWCTII5P43","json":"https://pith.science/pith/RJBTMGUOWRF6Z7LARWCTII5P43.json","graph_json":"https://pith.science/api/pith-number/RJBTMGUOWRF6Z7LARWCTII5P43/graph.json","events_json":"https://pith.science/api/pith-number/RJBTMGUOWRF6Z7LARWCTII5P43/events.json","paper":"https://pith.science/paper/RJBTMGUO"},"agent_actions":{"view_html":"https://pith.science/pith/RJBTMGUOWRF6Z7LARWCTII5P43","download_json":"https://pith.science/pith/RJBTMGUOWRF6Z7LARWCTII5P43.json","view_paper":"https://pith.science/paper/RJBTMGUO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.02119&json=true","fetch_graph":"https://pith.science/api/pith-number/RJBTMGUOWRF6Z7LARWCTII5P43/graph.json","fetch_events":"https://pith.science/api/pith-number/RJBTMGUOWRF6Z7LARWCTII5P43/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RJBTMGUOWRF6Z7LARWCTII5P43/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RJBTMGUOWRF6Z7LARWCTII5P43/action/storage_attestation","attest_author":"https://pith.science/pith/RJBTMGUOWRF6Z7LARWCTII5P43/action/author_attestation","sign_citation":"https://pith.science/pith/RJBTMGUOWRF6Z7LARWCTII5P43/action/citation_signature","submit_replication":"https://pith.science/pith/RJBTMGUOWRF6Z7LARWCTII5P43/action/replication_record"}},"created_at":"2026-05-18T00:16:08.642634+00:00","updated_at":"2026-05-18T00:16:08.642634+00:00"}