{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:CGPEKADC6I5FAC2OA6LCAVRVO5","short_pith_number":"pith:CGPEKADC","schema_version":"1.0","canonical_sha256":"119e450062f23a500b4e0796205635776af06418f781a96f5a11030790773ba2","source":{"kind":"arxiv","id":"1506.00362","version":2},"attestation_state":"computed","paper":{"title":"Newton-Okounkov polytopes of flag varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Valentina Kiritchenko","submitted_at":"2015-06-01T06:49:17Z","abstract_excerpt":"We compute the Newton--Okounkov bodies of line bundles on the complete flag variety of GL_n for a geometric valuation coming from a flag of translated Schubert subvarieties. The Schubert subvarieties correspond to the terminal subwords in the decomposition (s_1)(s_2s_1)(s_3s_2s_1)(...)(s_{n-1}...s_1) of the longest element in the Weyl group. The resulting Newton--Okounkov bodies coincide with the Feigin--Fourier--Littelmann--Vinberg polytopes in type A."},"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":"1506.00362","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-01T06:49:17Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"07078a501f879aedbd0f2cc12e7e8c5eb350500639de1ce04743dc8f34344e46","abstract_canon_sha256":"a204874b03c6a28f571b284ebef3a22b783fc6a3cb84821a8f91983b3b144869"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:37.167605Z","signature_b64":"BoZ4d8JbprU1NL/1XyZUhVCHgrnD5RvkAaH/axxPrDr2GpG309EUrKBlS//H0N1Q/ce3ffl+u1vymYawhmosBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"119e450062f23a500b4e0796205635776af06418f781a96f5a11030790773ba2","last_reissued_at":"2026-05-17T23:54:37.167058Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:37.167058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Newton-Okounkov polytopes of flag varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Valentina Kiritchenko","submitted_at":"2015-06-01T06:49:17Z","abstract_excerpt":"We compute the Newton--Okounkov bodies of line bundles on the complete flag variety of GL_n for a geometric valuation coming from a flag of translated Schubert subvarieties. The Schubert subvarieties correspond to the terminal subwords in the decomposition (s_1)(s_2s_1)(s_3s_2s_1)(...)(s_{n-1}...s_1) of the longest element in the Weyl group. The resulting Newton--Okounkov bodies coincide with the Feigin--Fourier--Littelmann--Vinberg polytopes in type A."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00362","kind":"arxiv","version":2},"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":"1506.00362","created_at":"2026-05-17T23:54:37.167144+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.00362v2","created_at":"2026-05-17T23:54:37.167144+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00362","created_at":"2026-05-17T23:54:37.167144+00:00"},{"alias_kind":"pith_short_12","alias_value":"CGPEKADC6I5F","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"CGPEKADC6I5FAC2O","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"CGPEKADC","created_at":"2026-05-18T12:29:14.074870+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/CGPEKADC6I5FAC2OA6LCAVRVO5","json":"https://pith.science/pith/CGPEKADC6I5FAC2OA6LCAVRVO5.json","graph_json":"https://pith.science/api/pith-number/CGPEKADC6I5FAC2OA6LCAVRVO5/graph.json","events_json":"https://pith.science/api/pith-number/CGPEKADC6I5FAC2OA6LCAVRVO5/events.json","paper":"https://pith.science/paper/CGPEKADC"},"agent_actions":{"view_html":"https://pith.science/pith/CGPEKADC6I5FAC2OA6LCAVRVO5","download_json":"https://pith.science/pith/CGPEKADC6I5FAC2OA6LCAVRVO5.json","view_paper":"https://pith.science/paper/CGPEKADC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.00362&json=true","fetch_graph":"https://pith.science/api/pith-number/CGPEKADC6I5FAC2OA6LCAVRVO5/graph.json","fetch_events":"https://pith.science/api/pith-number/CGPEKADC6I5FAC2OA6LCAVRVO5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CGPEKADC6I5FAC2OA6LCAVRVO5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CGPEKADC6I5FAC2OA6LCAVRVO5/action/storage_attestation","attest_author":"https://pith.science/pith/CGPEKADC6I5FAC2OA6LCAVRVO5/action/author_attestation","sign_citation":"https://pith.science/pith/CGPEKADC6I5FAC2OA6LCAVRVO5/action/citation_signature","submit_replication":"https://pith.science/pith/CGPEKADC6I5FAC2OA6LCAVRVO5/action/replication_record"}},"created_at":"2026-05-17T23:54:37.167144+00:00","updated_at":"2026-05-17T23:54:37.167144+00:00"}