{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:WWB2P56LGMV3YSVXTVQME3NDMV","short_pith_number":"pith:WWB2P56L","schema_version":"1.0","canonical_sha256":"b583a7f7cb332bbc4ab79d60c26da3654e7974a9d2620436ad1ad63426e0a6f1","source":{"kind":"arxiv","id":"1908.00676","version":1},"attestation_state":"computed","paper":{"title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Jesse Keyton","submitted_at":"2019-08-02T01:42:25Z","abstract_excerpt":"In CI-Liaison, significant effort has been made to study ideals that are in the linkage class of a complete intersection, which are called licci ideals. In a polynomial ring, recently E. Chong defined a \"sequentially bounded\" condition on the degrees of the forms generating the regular sequences, and used this condition to find a large class of licci ideals satisfying the Eisenbud-Green-Harris Conjecture (among them, grade $3$ homogeneous Gorenstein ideals). He raised the question of whether all homogeneous licci ideals are sequentially bounded licci. In this paper we construct a class of exam"},"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":"1908.00676","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2019-08-02T01:42:25Z","cross_cats_sorted":[],"title_canon_sha256":"8ccac951735de7580cbc985fd942517e017135b7c90178a0f8b9ccc117be0957","abstract_canon_sha256":"9e9b24492d62701191cac4498e58de1d62a3cc611a38278f6836b718734d230a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:51:08.227057Z","signature_b64":"Ze2rZ2fxnsQTiw+w4vGjbUwhM52qc+lw/BtJEhW7nIB+b0HtiZe7pljtrew8jsS+/GN8UmJ8n9BV0MloiYrpBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b583a7f7cb332bbc4ab79d60c26da3654e7974a9d2620436ad1ad63426e0a6f1","last_reissued_at":"2026-07-04T23:51:08.226581Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:51:08.226581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homogeneous Liaison and the Sequentially Bounded Licci Property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Jesse Keyton","submitted_at":"2019-08-02T01:42:25Z","abstract_excerpt":"In CI-Liaison, significant effort has been made to study ideals that are in the linkage class of a complete intersection, which are called licci ideals. In a polynomial ring, recently E. Chong defined a \"sequentially bounded\" condition on the degrees of the forms generating the regular sequences, and used this condition to find a large class of licci ideals satisfying the Eisenbud-Green-Harris Conjecture (among them, grade $3$ homogeneous Gorenstein ideals). He raised the question of whether all homogeneous licci ideals are sequentially bounded licci. In this paper we construct a class of exam"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.00676","kind":"arxiv","version":1},"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/1908.00676/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":"1908.00676","created_at":"2026-07-04T23:51:08.226638+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.00676v1","created_at":"2026-07-04T23:51:08.226638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.00676","created_at":"2026-07-04T23:51:08.226638+00:00"},{"alias_kind":"pith_short_12","alias_value":"WWB2P56LGMV3","created_at":"2026-07-04T23:51:08.226638+00:00"},{"alias_kind":"pith_short_16","alias_value":"WWB2P56LGMV3YSVX","created_at":"2026-07-04T23:51:08.226638+00:00"},{"alias_kind":"pith_short_8","alias_value":"WWB2P56L","created_at":"2026-07-04T23:51:08.226638+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/WWB2P56LGMV3YSVXTVQME3NDMV","json":"https://pith.science/pith/WWB2P56LGMV3YSVXTVQME3NDMV.json","graph_json":"https://pith.science/api/pith-number/WWB2P56LGMV3YSVXTVQME3NDMV/graph.json","events_json":"https://pith.science/api/pith-number/WWB2P56LGMV3YSVXTVQME3NDMV/events.json","paper":"https://pith.science/paper/WWB2P56L"},"agent_actions":{"view_html":"https://pith.science/pith/WWB2P56LGMV3YSVXTVQME3NDMV","download_json":"https://pith.science/pith/WWB2P56LGMV3YSVXTVQME3NDMV.json","view_paper":"https://pith.science/paper/WWB2P56L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.00676&json=true","fetch_graph":"https://pith.science/api/pith-number/WWB2P56LGMV3YSVXTVQME3NDMV/graph.json","fetch_events":"https://pith.science/api/pith-number/WWB2P56LGMV3YSVXTVQME3NDMV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WWB2P56LGMV3YSVXTVQME3NDMV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WWB2P56LGMV3YSVXTVQME3NDMV/action/storage_attestation","attest_author":"https://pith.science/pith/WWB2P56LGMV3YSVXTVQME3NDMV/action/author_attestation","sign_citation":"https://pith.science/pith/WWB2P56LGMV3YSVXTVQME3NDMV/action/citation_signature","submit_replication":"https://pith.science/pith/WWB2P56LGMV3YSVXTVQME3NDMV/action/replication_record"}},"created_at":"2026-07-04T23:51:08.226638+00:00","updated_at":"2026-07-04T23:51:08.226638+00:00"}