{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZUXQGSEXGM6CJMWXZW2IUIMFPF","short_pith_number":"pith:ZUXQGSEX","schema_version":"1.0","canonical_sha256":"cd2f034897333c24b2d7cdb48a2185795ea77e6712db0bd552f8dc5613b01939","source":{"kind":"arxiv","id":"1404.0118","version":2},"attestation_state":"computed","paper":{"title":"Boij-S\\\"{o}derberg Decompositions of Lex-segment Ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Sema Gunturkun","submitted_at":"2014-04-01T03:40:15Z","abstract_excerpt":"Boij-S\\\"oderberg theory describes the scalar multiples of Betti diagrams of graded modules over a polynomial ring as a linear combination of pure diagrams with positive coefficients. There are a few results that describe Boij-S\\\"oderberg decompositions explicitly. In this paper, we focus on the Betti diagrams of lex-segment ideals and describe the Boij-S\\\"oderberg decomposition of a lex-segment ideal in terms of Boij-S\\\"oderberg decompositions of some other related lex-segment ideals."},"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":"1404.0118","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2014-04-01T03:40:15Z","cross_cats_sorted":[],"title_canon_sha256":"afe13a82668c1ee3c46be5c023aaa1ba199213d085d2044a84c2e9d3b4e3b2ad","abstract_canon_sha256":"534b13592a0a1f1e8f90574003d2e0f894e1af58b08053fa7efafca22a5a0ed8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:01.133356Z","signature_b64":"BKDroRvVfSsUJQnJ+Eqjr24lP1/LbEevlikqtartb4guLUa7NAcM8lgNIvc23u1OmyacT40qzYWNzbsdtWR6CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd2f034897333c24b2d7cdb48a2185795ea77e6712db0bd552f8dc5613b01939","last_reissued_at":"2026-05-18T01:35:01.132662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:01.132662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boij-S\\\"{o}derberg Decompositions of Lex-segment Ideals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Sema Gunturkun","submitted_at":"2014-04-01T03:40:15Z","abstract_excerpt":"Boij-S\\\"oderberg theory describes the scalar multiples of Betti diagrams of graded modules over a polynomial ring as a linear combination of pure diagrams with positive coefficients. There are a few results that describe Boij-S\\\"oderberg decompositions explicitly. In this paper, we focus on the Betti diagrams of lex-segment ideals and describe the Boij-S\\\"oderberg decomposition of a lex-segment ideal in terms of Boij-S\\\"oderberg decompositions of some other related lex-segment ideals."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0118","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":"1404.0118","created_at":"2026-05-18T01:35:01.132790+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.0118v2","created_at":"2026-05-18T01:35:01.132790+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0118","created_at":"2026-05-18T01:35:01.132790+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZUXQGSEXGM6C","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZUXQGSEXGM6CJMWX","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZUXQGSEX","created_at":"2026-05-18T12:28:59.999130+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/ZUXQGSEXGM6CJMWXZW2IUIMFPF","json":"https://pith.science/pith/ZUXQGSEXGM6CJMWXZW2IUIMFPF.json","graph_json":"https://pith.science/api/pith-number/ZUXQGSEXGM6CJMWXZW2IUIMFPF/graph.json","events_json":"https://pith.science/api/pith-number/ZUXQGSEXGM6CJMWXZW2IUIMFPF/events.json","paper":"https://pith.science/paper/ZUXQGSEX"},"agent_actions":{"view_html":"https://pith.science/pith/ZUXQGSEXGM6CJMWXZW2IUIMFPF","download_json":"https://pith.science/pith/ZUXQGSEXGM6CJMWXZW2IUIMFPF.json","view_paper":"https://pith.science/paper/ZUXQGSEX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.0118&json=true","fetch_graph":"https://pith.science/api/pith-number/ZUXQGSEXGM6CJMWXZW2IUIMFPF/graph.json","fetch_events":"https://pith.science/api/pith-number/ZUXQGSEXGM6CJMWXZW2IUIMFPF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZUXQGSEXGM6CJMWXZW2IUIMFPF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZUXQGSEXGM6CJMWXZW2IUIMFPF/action/storage_attestation","attest_author":"https://pith.science/pith/ZUXQGSEXGM6CJMWXZW2IUIMFPF/action/author_attestation","sign_citation":"https://pith.science/pith/ZUXQGSEXGM6CJMWXZW2IUIMFPF/action/citation_signature","submit_replication":"https://pith.science/pith/ZUXQGSEXGM6CJMWXZW2IUIMFPF/action/replication_record"}},"created_at":"2026-05-18T01:35:01.132790+00:00","updated_at":"2026-05-18T01:35:01.132790+00:00"}