{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:KQB7T44JCXSF6M3RVBVDW4OKRY","short_pith_number":"pith:KQB7T44J","schema_version":"1.0","canonical_sha256":"5403f9f38915e45f3371a86a3b71ca8e09163172d42d23fb1ae219b8c6999487","source":{"kind":"arxiv","id":"2606.21342","version":1},"attestation_state":"computed","paper":{"title":"Spectral Sequences in Semi-Abelian Categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Florent Afsa","submitted_at":"2026-06-19T11:38:29Z","abstract_excerpt":"In this paper, we define the notion of a spectral sequence in the context of semi-abelian categories in the sense of Janelidze, M\\'arki and Tholen. We show that from a double simplicial object, one can construct an exact couple, which gives rise to a spectral sequence. This extends Quillen's result on double simplicial groups to every semi-abelian category."},"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":"2606.21342","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2026-06-19T11:38:29Z","cross_cats_sorted":[],"title_canon_sha256":"bbd70becfe9150cd609efbf7c61157be62f3da01580125d6b3fb2775856e00ec","abstract_canon_sha256":"5bff459baca5436e6f735f83deea093accf73d235919941acce6b237c5a20171"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:12:37.904277Z","signature_b64":"bkXlUU3iCh7RS3WOTFKZXY1O5ENjXOUm7jrSTLPovd69+BP1hFL/SzNJrJuq++IVQ//ApMYjOymrABo91AzIAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5403f9f38915e45f3371a86a3b71ca8e09163172d42d23fb1ae219b8c6999487","last_reissued_at":"2026-06-23T01:12:37.903798Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:12:37.903798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spectral Sequences in Semi-Abelian Categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Florent Afsa","submitted_at":"2026-06-19T11:38:29Z","abstract_excerpt":"In this paper, we define the notion of a spectral sequence in the context of semi-abelian categories in the sense of Janelidze, M\\'arki and Tholen. We show that from a double simplicial object, one can construct an exact couple, which gives rise to a spectral sequence. This extends Quillen's result on double simplicial groups to every semi-abelian category."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21342","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/2606.21342/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":"2606.21342","created_at":"2026-06-23T01:12:37.903864+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.21342v1","created_at":"2026-06-23T01:12:37.903864+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21342","created_at":"2026-06-23T01:12:37.903864+00:00"},{"alias_kind":"pith_short_12","alias_value":"KQB7T44JCXSF","created_at":"2026-06-23T01:12:37.903864+00:00"},{"alias_kind":"pith_short_16","alias_value":"KQB7T44JCXSF6M3R","created_at":"2026-06-23T01:12:37.903864+00:00"},{"alias_kind":"pith_short_8","alias_value":"KQB7T44J","created_at":"2026-06-23T01:12:37.903864+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/KQB7T44JCXSF6M3RVBVDW4OKRY","json":"https://pith.science/pith/KQB7T44JCXSF6M3RVBVDW4OKRY.json","graph_json":"https://pith.science/api/pith-number/KQB7T44JCXSF6M3RVBVDW4OKRY/graph.json","events_json":"https://pith.science/api/pith-number/KQB7T44JCXSF6M3RVBVDW4OKRY/events.json","paper":"https://pith.science/paper/KQB7T44J"},"agent_actions":{"view_html":"https://pith.science/pith/KQB7T44JCXSF6M3RVBVDW4OKRY","download_json":"https://pith.science/pith/KQB7T44JCXSF6M3RVBVDW4OKRY.json","view_paper":"https://pith.science/paper/KQB7T44J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.21342&json=true","fetch_graph":"https://pith.science/api/pith-number/KQB7T44JCXSF6M3RVBVDW4OKRY/graph.json","fetch_events":"https://pith.science/api/pith-number/KQB7T44JCXSF6M3RVBVDW4OKRY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KQB7T44JCXSF6M3RVBVDW4OKRY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KQB7T44JCXSF6M3RVBVDW4OKRY/action/storage_attestation","attest_author":"https://pith.science/pith/KQB7T44JCXSF6M3RVBVDW4OKRY/action/author_attestation","sign_citation":"https://pith.science/pith/KQB7T44JCXSF6M3RVBVDW4OKRY/action/citation_signature","submit_replication":"https://pith.science/pith/KQB7T44JCXSF6M3RVBVDW4OKRY/action/replication_record"}},"created_at":"2026-06-23T01:12:37.903864+00:00","updated_at":"2026-06-23T01:12:37.903864+00:00"}