{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:YJE3SLRX44SHKGGDLDQG3R7HFX","short_pith_number":"pith:YJE3SLRX","schema_version":"1.0","canonical_sha256":"c249b92e37e7247518c358e06dc7e72ddd860802a491430d1d790e1785ee9893","source":{"kind":"arxiv","id":"1509.00438","version":2},"attestation_state":"computed","paper":{"title":"Categorification at prime roots of unity and hopfological finiteness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.QA","authors_text":"Joshua Sussan, You Qi","submitted_at":"2015-09-01T18:54:05Z","abstract_excerpt":"We survey some recent results in hopfological algebra and the program of categorification at prime roots of unity. A categorical Jones-Wenzl projector at prime roots of unity is studied, and it is shown that this projector is hopfologically finite in special characteristics, while generically it is infinite."},"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":"1509.00438","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2015-09-01T18:54:05Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"a01e6438383cbf8fc88100a89c509caa69fae7c11e004e82eea695de5a99e734","abstract_canon_sha256":"4b40445f3b02d4c82e232e64ceeeffa622ae57b7aec3f2d419ab8426d4bd6a96"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:34.915625Z","signature_b64":"eHdeu9ceXPOiDGX1VYhdCkyRercNabIH2P1ZYNAaaRM7G+mU0UuBr6AsMsksVUtvC4WMNEZLnBx/0Q343xFzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c249b92e37e7247518c358e06dc7e72ddd860802a491430d1d790e1785ee9893","last_reissued_at":"2026-05-18T00:49:34.914895Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:34.914895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Categorification at prime roots of unity and hopfological finiteness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.QA","authors_text":"Joshua Sussan, You Qi","submitted_at":"2015-09-01T18:54:05Z","abstract_excerpt":"We survey some recent results in hopfological algebra and the program of categorification at prime roots of unity. A categorical Jones-Wenzl projector at prime roots of unity is studied, and it is shown that this projector is hopfologically finite in special characteristics, while generically it is infinite."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00438","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":"1509.00438","created_at":"2026-05-18T00:49:34.914998+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.00438v2","created_at":"2026-05-18T00:49:34.914998+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00438","created_at":"2026-05-18T00:49:34.914998+00:00"},{"alias_kind":"pith_short_12","alias_value":"YJE3SLRX44SH","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"YJE3SLRX44SHKGGD","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"YJE3SLRX","created_at":"2026-05-18T12:29:50.041715+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/YJE3SLRX44SHKGGDLDQG3R7HFX","json":"https://pith.science/pith/YJE3SLRX44SHKGGDLDQG3R7HFX.json","graph_json":"https://pith.science/api/pith-number/YJE3SLRX44SHKGGDLDQG3R7HFX/graph.json","events_json":"https://pith.science/api/pith-number/YJE3SLRX44SHKGGDLDQG3R7HFX/events.json","paper":"https://pith.science/paper/YJE3SLRX"},"agent_actions":{"view_html":"https://pith.science/pith/YJE3SLRX44SHKGGDLDQG3R7HFX","download_json":"https://pith.science/pith/YJE3SLRX44SHKGGDLDQG3R7HFX.json","view_paper":"https://pith.science/paper/YJE3SLRX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.00438&json=true","fetch_graph":"https://pith.science/api/pith-number/YJE3SLRX44SHKGGDLDQG3R7HFX/graph.json","fetch_events":"https://pith.science/api/pith-number/YJE3SLRX44SHKGGDLDQG3R7HFX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YJE3SLRX44SHKGGDLDQG3R7HFX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YJE3SLRX44SHKGGDLDQG3R7HFX/action/storage_attestation","attest_author":"https://pith.science/pith/YJE3SLRX44SHKGGDLDQG3R7HFX/action/author_attestation","sign_citation":"https://pith.science/pith/YJE3SLRX44SHKGGDLDQG3R7HFX/action/citation_signature","submit_replication":"https://pith.science/pith/YJE3SLRX44SHKGGDLDQG3R7HFX/action/replication_record"}},"created_at":"2026-05-18T00:49:34.914998+00:00","updated_at":"2026-05-18T00:49:34.914998+00:00"}