{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:2QOTFMEIT2THDSR7G6TFWGX3EC","short_pith_number":"pith:2QOTFMEI","schema_version":"1.0","canonical_sha256":"d41d32b0889ea671ca3f37a65b1afb20ae1b4d1df8407c7818dff67f322f0cd7","source":{"kind":"arxiv","id":"1112.6295","version":1},"attestation_state":"computed","paper":{"title":"A Coboundary Morphism For The Grothendieck Spectral Sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"David Baraglia","submitted_at":"2011-12-29T12:46:07Z","abstract_excerpt":"Given an abelian category $\\mathcal{A}$ with enough injectives we show that a short exact sequence of chain complexes of objects in $\\mathcal{A}$ gives rise to a short exact sequence of Cartan-Eilenberg resolutions. Using this we construct coboundary morphisms between Grothendieck spectral sequences associated to objects in a short exact sequence. We show that the coboundary preserves the filtrations associated with the spectral sequences and give an application of these result to filtrations in sheaf cohomology."},"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":"1112.6295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2011-12-29T12:46:07Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"1092023bf24cf774fa94d79ca961d2afe7a10bcfd9d226da7f925e7df6bd1068","abstract_canon_sha256":"9d2566b8b3902407107c2025f5359e046c2395f63d18ffb597b69efc5c920a50"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:58.059352Z","signature_b64":"W6AAe5kIcGFz8Ma6aOFGkBG2Iim1nmOnHgaW5AvLIFOHni9p1iCpZc+jF8EPbGWU3EdmUUPcTOnrL1jz5pCpAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d41d32b0889ea671ca3f37a65b1afb20ae1b4d1df8407c7818dff67f322f0cd7","last_reissued_at":"2026-05-18T02:58:58.058546Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:58.058546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Coboundary Morphism For The Grothendieck Spectral Sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"David Baraglia","submitted_at":"2011-12-29T12:46:07Z","abstract_excerpt":"Given an abelian category $\\mathcal{A}$ with enough injectives we show that a short exact sequence of chain complexes of objects in $\\mathcal{A}$ gives rise to a short exact sequence of Cartan-Eilenberg resolutions. Using this we construct coboundary morphisms between Grothendieck spectral sequences associated to objects in a short exact sequence. We show that the coboundary preserves the filtrations associated with the spectral sequences and give an application of these result to filtrations in sheaf cohomology."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6295","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":""},"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":"1112.6295","created_at":"2026-05-18T02:58:58.058672+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.6295v1","created_at":"2026-05-18T02:58:58.058672+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6295","created_at":"2026-05-18T02:58:58.058672+00:00"},{"alias_kind":"pith_short_12","alias_value":"2QOTFMEIT2TH","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"2QOTFMEIT2THDSR7","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"2QOTFMEI","created_at":"2026-05-18T12:26:18.847500+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/2QOTFMEIT2THDSR7G6TFWGX3EC","json":"https://pith.science/pith/2QOTFMEIT2THDSR7G6TFWGX3EC.json","graph_json":"https://pith.science/api/pith-number/2QOTFMEIT2THDSR7G6TFWGX3EC/graph.json","events_json":"https://pith.science/api/pith-number/2QOTFMEIT2THDSR7G6TFWGX3EC/events.json","paper":"https://pith.science/paper/2QOTFMEI"},"agent_actions":{"view_html":"https://pith.science/pith/2QOTFMEIT2THDSR7G6TFWGX3EC","download_json":"https://pith.science/pith/2QOTFMEIT2THDSR7G6TFWGX3EC.json","view_paper":"https://pith.science/paper/2QOTFMEI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.6295&json=true","fetch_graph":"https://pith.science/api/pith-number/2QOTFMEIT2THDSR7G6TFWGX3EC/graph.json","fetch_events":"https://pith.science/api/pith-number/2QOTFMEIT2THDSR7G6TFWGX3EC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2QOTFMEIT2THDSR7G6TFWGX3EC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2QOTFMEIT2THDSR7G6TFWGX3EC/action/storage_attestation","attest_author":"https://pith.science/pith/2QOTFMEIT2THDSR7G6TFWGX3EC/action/author_attestation","sign_citation":"https://pith.science/pith/2QOTFMEIT2THDSR7G6TFWGX3EC/action/citation_signature","submit_replication":"https://pith.science/pith/2QOTFMEIT2THDSR7G6TFWGX3EC/action/replication_record"}},"created_at":"2026-05-18T02:58:58.058672+00:00","updated_at":"2026-05-18T02:58:58.058672+00:00"}