{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MHEFRGR6IH434UR7YMGOLAPS4V","short_pith_number":"pith:MHEFRGR6","canonical_record":{"source":{"id":"1204.3465","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-04-16T12:54:42Z","cross_cats_sorted":[],"title_canon_sha256":"ace3f7d66365cb3fe215a1b0916940fdd08c456a9144f4427860d14c0e9f6c2e","abstract_canon_sha256":"b6fe74b71877be1875b8783bdb5fd6ff9cbc0f032eb17430f00a3e2fa4bcbaab"},"schema_version":"1.0"},"canonical_sha256":"61c8589a3e41f9be523fc30ce581f2e57620d33180118786339979573ba86bd0","source":{"kind":"arxiv","id":"1204.3465","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3465","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3465v2","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3465","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"pith_short_12","alias_value":"MHEFRGR6IH43","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MHEFRGR6IH434UR7","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MHEFRGR6","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MHEFRGR6IH434UR7YMGOLAPS4V","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3465","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-04-16T12:54:42Z","cross_cats_sorted":[],"title_canon_sha256":"ace3f7d66365cb3fe215a1b0916940fdd08c456a9144f4427860d14c0e9f6c2e","abstract_canon_sha256":"b6fe74b71877be1875b8783bdb5fd6ff9cbc0f032eb17430f00a3e2fa4bcbaab"},"schema_version":"1.0"},"canonical_sha256":"61c8589a3e41f9be523fc30ce581f2e57620d33180118786339979573ba86bd0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:08.698632Z","signature_b64":"Mfto1ktnXfPkbW512qrmz7AU4dgVQzTdeBTktixkcJ1a2dbTaENLpAxS5cBkMIJBSeP4LNMfks9IBgtMhKE6BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61c8589a3e41f9be523fc30ce581f2e57620d33180118786339979573ba86bd0","last_reissued_at":"2026-05-18T03:37:08.697901Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:08.697901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3465","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+EfAO4XfpFxrZCfdfvPwsctDNnYQ2HudZZ6iY6wEkLdCFkwBpZrPD148jGCLOBCHVVwAC9H1LVGki2Uy0YK4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T01:44:10.678114Z"},"content_sha256":"e67281231dacf8bbb70551aa26adeaf62a41b537f34b5e54b49125cf8cfc6b1d","schema_version":"1.0","event_id":"sha256:e67281231dacf8bbb70551aa26adeaf62a41b537f34b5e54b49125cf8cfc6b1d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MHEFRGR6IH434UR7YMGOLAPS4V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A spectral sequence in Bredon cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"David Blanc, Debasis Sen","submitted_at":"2012-04-16T12:54:42Z","abstract_excerpt":"For any finite group G, we construct a spectral sequence for computing the Bredon cohomology of a G-CW complex X, starting with the cohomology of X^H/\\cup_{K>H}X^K with suitable local coefficients, for various H \\leq G."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3465","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7m9JFBeK7MlEQnXzAec7ouRaf0LEMij9N/aBBOQqaCH4fWhe5yt2gBv7BAjiwQ3VXUoeu7XUzIsDla0psjVoBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T01:44:10.678681Z"},"content_sha256":"e582661d606816930e1258b33d201f360b7d66a9eb173acf9846735d95e19f5d","schema_version":"1.0","event_id":"sha256:e582661d606816930e1258b33d201f360b7d66a9eb173acf9846735d95e19f5d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MHEFRGR6IH434UR7YMGOLAPS4V/bundle.json","state_url":"https://pith.science/pith/MHEFRGR6IH434UR7YMGOLAPS4V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MHEFRGR6IH434UR7YMGOLAPS4V/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T01:44:10Z","links":{"resolver":"https://pith.science/pith/MHEFRGR6IH434UR7YMGOLAPS4V","bundle":"https://pith.science/pith/MHEFRGR6IH434UR7YMGOLAPS4V/bundle.json","state":"https://pith.science/pith/MHEFRGR6IH434UR7YMGOLAPS4V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MHEFRGR6IH434UR7YMGOLAPS4V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MHEFRGR6IH434UR7YMGOLAPS4V","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b6fe74b71877be1875b8783bdb5fd6ff9cbc0f032eb17430f00a3e2fa4bcbaab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-04-16T12:54:42Z","title_canon_sha256":"ace3f7d66365cb3fe215a1b0916940fdd08c456a9144f4427860d14c0e9f6c2e"},"schema_version":"1.0","source":{"id":"1204.3465","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3465","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3465v2","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3465","created_at":"2026-05-18T03:37:08Z"},{"alias_kind":"pith_short_12","alias_value":"MHEFRGR6IH43","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MHEFRGR6IH434UR7","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MHEFRGR6","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:e582661d606816930e1258b33d201f360b7d66a9eb173acf9846735d95e19f5d","target":"graph","created_at":"2026-05-18T03:37:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For any finite group G, we construct a spectral sequence for computing the Bredon cohomology of a G-CW complex X, starting with the cohomology of X^H/\\cup_{K>H}X^K with suitable local coefficients, for various H \\leq G.","authors_text":"David Blanc, Debasis Sen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-04-16T12:54:42Z","title":"A spectral sequence in Bredon cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3465","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e67281231dacf8bbb70551aa26adeaf62a41b537f34b5e54b49125cf8cfc6b1d","target":"record","created_at":"2026-05-18T03:37:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b6fe74b71877be1875b8783bdb5fd6ff9cbc0f032eb17430f00a3e2fa4bcbaab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-04-16T12:54:42Z","title_canon_sha256":"ace3f7d66365cb3fe215a1b0916940fdd08c456a9144f4427860d14c0e9f6c2e"},"schema_version":"1.0","source":{"id":"1204.3465","kind":"arxiv","version":2}},"canonical_sha256":"61c8589a3e41f9be523fc30ce581f2e57620d33180118786339979573ba86bd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"61c8589a3e41f9be523fc30ce581f2e57620d33180118786339979573ba86bd0","first_computed_at":"2026-05-18T03:37:08.697901Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:08.697901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mfto1ktnXfPkbW512qrmz7AU4dgVQzTdeBTktixkcJ1a2dbTaENLpAxS5cBkMIJBSeP4LNMfks9IBgtMhKE6BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:08.698632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3465","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e67281231dacf8bbb70551aa26adeaf62a41b537f34b5e54b49125cf8cfc6b1d","sha256:e582661d606816930e1258b33d201f360b7d66a9eb173acf9846735d95e19f5d"],"state_sha256":"ec0fd79aeafa4f7a668e2df52e16daeb43acdffcd686df646a8d594a91dc99ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KJWikW1q2nt0cvSshUUoFpRJwXpAp9znChBX0Fyw3dH6WjDzLNH3Q7cSYvbRZPTP27Z40zMoNVxI+2x8mVmPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T01:44:10.681332Z","bundle_sha256":"86f9475dda10e4442c69ec2a834351bb3c916d497ca4792128cc7fe0ac591531"}}