{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:OSJIMS5XPUALBWOACCBF7G5OYD","short_pith_number":"pith:OSJIMS5X","schema_version":"1.0","canonical_sha256":"7492864bb77d00b0d9c010825f9baec0c9d28c496b5493fd330044aec7c3da32","source":{"kind":"arxiv","id":"2311.11996","version":2},"attestation_state":"computed","paper":{"title":"K-theoretic positivity for matroids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Christopher Eur, Matt Larson","submitted_at":"2023-11-20T18:26:59Z","abstract_excerpt":"Hilbert polynomials have positivity properties under favorable conditions. We establish a similar \"K-theoretic positivity\" for matroids. As an application, for a multiplicity-free subvariety of a product of projective spaces such that the projection onto one of the factors has birational image, we show that a transformation of its K-polynomial is Lorentzian. This partially answers a conjecture of Castillo, Cid-Ruiz, Mohammadi, and Montano. As another application, we show that the h*-vector of a simplicially positive divisor on a matroid is a Macaulay vector, affirmatively answering a question "},"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":"2311.11996","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-11-20T18:26:59Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"95bfe6ad69abd0f80e5c8d7f1be2ea72cd0c53dba77fc3db7ce4b29f69dc24b6","abstract_canon_sha256":"a43d795ecbac34aeb5e1030ee21b118083e541641e65ae1b38da15533c0ce10f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:09:01.733489Z","signature_b64":"+pdosujp1582LPeuf5+aURba9zjVhGZyNjAiJxmuPc2+FOrUbsn//oK1uCgGmNgDogGZ/nletjaBnRCkxFVNBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7492864bb77d00b0d9c010825f9baec0c9d28c496b5493fd330044aec7c3da32","last_reissued_at":"2026-07-05T09:09:01.733076Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:09:01.733076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K-theoretic positivity for matroids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Christopher Eur, Matt Larson","submitted_at":"2023-11-20T18:26:59Z","abstract_excerpt":"Hilbert polynomials have positivity properties under favorable conditions. We establish a similar \"K-theoretic positivity\" for matroids. As an application, for a multiplicity-free subvariety of a product of projective spaces such that the projection onto one of the factors has birational image, we show that a transformation of its K-polynomial is Lorentzian. This partially answers a conjecture of Castillo, Cid-Ruiz, Mohammadi, and Montano. As another application, we show that the h*-vector of a simplicially positive divisor on a matroid is a Macaulay vector, affirmatively answering a question "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.11996","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.11996/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":"2311.11996","created_at":"2026-07-05T09:09:01.733132+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.11996v2","created_at":"2026-07-05T09:09:01.733132+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.11996","created_at":"2026-07-05T09:09:01.733132+00:00"},{"alias_kind":"pith_short_12","alias_value":"OSJIMS5XPUAL","created_at":"2026-07-05T09:09:01.733132+00:00"},{"alias_kind":"pith_short_16","alias_value":"OSJIMS5XPUALBWOA","created_at":"2026-07-05T09:09:01.733132+00:00"},{"alias_kind":"pith_short_8","alias_value":"OSJIMS5X","created_at":"2026-07-05T09:09:01.733132+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/OSJIMS5XPUALBWOACCBF7G5OYD","json":"https://pith.science/pith/OSJIMS5XPUALBWOACCBF7G5OYD.json","graph_json":"https://pith.science/api/pith-number/OSJIMS5XPUALBWOACCBF7G5OYD/graph.json","events_json":"https://pith.science/api/pith-number/OSJIMS5XPUALBWOACCBF7G5OYD/events.json","paper":"https://pith.science/paper/OSJIMS5X"},"agent_actions":{"view_html":"https://pith.science/pith/OSJIMS5XPUALBWOACCBF7G5OYD","download_json":"https://pith.science/pith/OSJIMS5XPUALBWOACCBF7G5OYD.json","view_paper":"https://pith.science/paper/OSJIMS5X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.11996&json=true","fetch_graph":"https://pith.science/api/pith-number/OSJIMS5XPUALBWOACCBF7G5OYD/graph.json","fetch_events":"https://pith.science/api/pith-number/OSJIMS5XPUALBWOACCBF7G5OYD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OSJIMS5XPUALBWOACCBF7G5OYD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OSJIMS5XPUALBWOACCBF7G5OYD/action/storage_attestation","attest_author":"https://pith.science/pith/OSJIMS5XPUALBWOACCBF7G5OYD/action/author_attestation","sign_citation":"https://pith.science/pith/OSJIMS5XPUALBWOACCBF7G5OYD/action/citation_signature","submit_replication":"https://pith.science/pith/OSJIMS5XPUALBWOACCBF7G5OYD/action/replication_record"}},"created_at":"2026-07-05T09:09:01.733132+00:00","updated_at":"2026-07-05T09:09:01.733132+00:00"}