{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QISPPWFLEORFIEH6XSJVA2QVRW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"075339bcb71b4836c920460b95bc75d16d38893ea532833a2874e0c092928bd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-02-18T21:19:52Z","title_canon_sha256":"5982890959346d70b09af6168c36c2522c468862d3ca3fef28f4ea0d7acda540"},"schema_version":"1.0","source":{"id":"1302.4461","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4461","created_at":"2026-05-18T03:32:44Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4461v2","created_at":"2026-05-18T03:32:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4461","created_at":"2026-05-18T03:32:44Z"},{"alias_kind":"pith_short_12","alias_value":"QISPPWFLEORF","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QISPPWFLEORFIEH6","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QISPPWFL","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:586c24ecf4d0f6dfa69fc19763d27568a1ba0c147e71c979d3b6139799627aba","target":"graph","created_at":"2026-05-18T03:32:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A set of polynomials G in a polynomial ring S over a field is said to be a universal Groebner basis, if G is a Groebner basis with respect to every term order on S. Twenty years ago Bernstein, Sturmfels, and Zelevinsky proved that the set of the maximal minors of a matrix X of variables is a universal Groebner basis. Boocher recently proved that any initial ideal of the ideal of maximal minors of X has a linear resolution.\n  In this paper we give a quick proof of the results mentioned above. Our proof is based on a specialization argument. Then we show that similar statements hold in a more","authors_text":"Aldo Conca, Elisa Gorla, Emanuela De Negri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-02-18T21:19:52Z","title":"Universal Groebner bases for maximal minors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4461","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:50c99c3f49abd11d8e825f33906afb7ffa7533784822e2efc195012e8bc2023b","target":"record","created_at":"2026-05-18T03:32:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"075339bcb71b4836c920460b95bc75d16d38893ea532833a2874e0c092928bd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2013-02-18T21:19:52Z","title_canon_sha256":"5982890959346d70b09af6168c36c2522c468862d3ca3fef28f4ea0d7acda540"},"schema_version":"1.0","source":{"id":"1302.4461","kind":"arxiv","version":2}},"canonical_sha256":"8224f7d8ab23a25410febc93506a158d86ee2f984d996d5cd00f5b7e3cba7fe8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8224f7d8ab23a25410febc93506a158d86ee2f984d996d5cd00f5b7e3cba7fe8","first_computed_at":"2026-05-18T03:32:44.269090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:32:44.269090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BvMW3Wo9M/OReV84+Dj3Nlkobf9YEHFo/YgU6pO0nXOuKgNXaoONVstbmnKk9x0M9aLCsROyaj08KCB5mBpwBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:32:44.269846Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4461","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50c99c3f49abd11d8e825f33906afb7ffa7533784822e2efc195012e8bc2023b","sha256:586c24ecf4d0f6dfa69fc19763d27568a1ba0c147e71c979d3b6139799627aba"],"state_sha256":"2dbc9bb8407fd38bd36450f429b44d76cc8224bc7f5ee273b0d8061526d7034c"}