{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:IC3F3CWNJ5KLB6BLT3V3OOCKTT","short_pith_number":"pith:IC3F3CWN","schema_version":"1.0","canonical_sha256":"40b65d8acd4f54b0f82b9eebb7384a9ccc522d8ebbe48e58cf1444b469dccc6d","source":{"kind":"arxiv","id":"1706.04992","version":2},"attestation_state":"computed","paper":{"title":"The Frobenius complexity of Hibi rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Janet Page","submitted_at":"2017-06-15T17:53:08Z","abstract_excerpt":"We study the Frobenius complexity of Hibi rings over fields of characteristic $p > 0$. In particular, for a certain class of Hibi rings (which we call $\\omega^{(-1)}$-level), we compute the limit of the Frobenius complexity as $p \\rightarrow \\infty$."},"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":"1706.04992","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AC","submitted_at":"2017-06-15T17:53:08Z","cross_cats_sorted":[],"title_canon_sha256":"a2959a5dc9416e7f7ae9f78393d316199905145e9cc643d77cc55af2daa0d928","abstract_canon_sha256":"f0fd31d6287cc65ee6e2caa9b7457487d9763a9abcf214fe182687a775b4bcf4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:50.716146Z","signature_b64":"V/i21zN9QXB9V6YhhhfmkxpQGDdTCqQqVSiYdyXsjyDaaxIOm7Y3jKdCVG9D1MZoQpOG36nUCKkT9SfkZtbqDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40b65d8acd4f54b0f82b9eebb7384a9ccc522d8ebbe48e58cf1444b469dccc6d","last_reissued_at":"2026-05-18T00:16:50.715439Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:50.715439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Frobenius complexity of Hibi rings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Janet Page","submitted_at":"2017-06-15T17:53:08Z","abstract_excerpt":"We study the Frobenius complexity of Hibi rings over fields of characteristic $p > 0$. In particular, for a certain class of Hibi rings (which we call $\\omega^{(-1)}$-level), we compute the limit of the Frobenius complexity as $p \\rightarrow \\infty$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04992","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":"1706.04992","created_at":"2026-05-18T00:16:50.715546+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.04992v2","created_at":"2026-05-18T00:16:50.715546+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04992","created_at":"2026-05-18T00:16:50.715546+00:00"},{"alias_kind":"pith_short_12","alias_value":"IC3F3CWNJ5KL","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"IC3F3CWNJ5KLB6BL","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"IC3F3CWN","created_at":"2026-05-18T12:31:21.493067+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/IC3F3CWNJ5KLB6BLT3V3OOCKTT","json":"https://pith.science/pith/IC3F3CWNJ5KLB6BLT3V3OOCKTT.json","graph_json":"https://pith.science/api/pith-number/IC3F3CWNJ5KLB6BLT3V3OOCKTT/graph.json","events_json":"https://pith.science/api/pith-number/IC3F3CWNJ5KLB6BLT3V3OOCKTT/events.json","paper":"https://pith.science/paper/IC3F3CWN"},"agent_actions":{"view_html":"https://pith.science/pith/IC3F3CWNJ5KLB6BLT3V3OOCKTT","download_json":"https://pith.science/pith/IC3F3CWNJ5KLB6BLT3V3OOCKTT.json","view_paper":"https://pith.science/paper/IC3F3CWN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.04992&json=true","fetch_graph":"https://pith.science/api/pith-number/IC3F3CWNJ5KLB6BLT3V3OOCKTT/graph.json","fetch_events":"https://pith.science/api/pith-number/IC3F3CWNJ5KLB6BLT3V3OOCKTT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IC3F3CWNJ5KLB6BLT3V3OOCKTT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IC3F3CWNJ5KLB6BLT3V3OOCKTT/action/storage_attestation","attest_author":"https://pith.science/pith/IC3F3CWNJ5KLB6BLT3V3OOCKTT/action/author_attestation","sign_citation":"https://pith.science/pith/IC3F3CWNJ5KLB6BLT3V3OOCKTT/action/citation_signature","submit_replication":"https://pith.science/pith/IC3F3CWNJ5KLB6BLT3V3OOCKTT/action/replication_record"}},"created_at":"2026-05-18T00:16:50.715546+00:00","updated_at":"2026-05-18T00:16:50.715546+00:00"}