{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:WVMT4T22JBJXULGTKX5M7XRXRZ","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":"37a7b543bd13f4ec2ffc7a4abbfb595f43acc0629db6150fa82810e60f1b97f4","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2008-03-24T09:10:55Z","title_canon_sha256":"60843ab23a9ec1eb1cad33658c91bb8892b6c702b143dcb831c7290789a3de21"},"schema_version":"1.0","source":{"id":"0803.3290","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0803.3290","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"arxiv_version","alias_value":"0803.3290v1","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.3290","created_at":"2026-05-18T04:18:35Z"},{"alias_kind":"pith_short_12","alias_value":"WVMT4T22JBJX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"WVMT4T22JBJXULGT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"WVMT4T22","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:33cbc8296893a175b389709129606ad514f29b9053230d1e305ab085a31a72a5","target":"graph","created_at":"2026-05-18T04:18:35Z","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":"We present two approaches, one homological and the other simplicial, for the investigation of dimension quotients of groups. The theory is illustrated, in particular, with a conceptual discussion of the fourth and fifth dimension quotients.","authors_text":"I. B. S. Passi, M. Hartl, R. Mikhailov","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2008-03-24T09:10:55Z","title":"Dimension quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.3290","kind":"arxiv","version":1},"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":"sha256:8314364b0267a761b666af7df3bfe34bb1e66cebb16fb889fca8f7f3f11333b8","target":"record","created_at":"2026-05-18T04:18:35Z","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":"37a7b543bd13f4ec2ffc7a4abbfb595f43acc0629db6150fa82810e60f1b97f4","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2008-03-24T09:10:55Z","title_canon_sha256":"60843ab23a9ec1eb1cad33658c91bb8892b6c702b143dcb831c7290789a3de21"},"schema_version":"1.0","source":{"id":"0803.3290","kind":"arxiv","version":1}},"canonical_sha256":"b5593e4f5a48537a2cd355facfde378e727ac821c1d5263a77d37825b6ee00a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5593e4f5a48537a2cd355facfde378e727ac821c1d5263a77d37825b6ee00a9","first_computed_at":"2026-05-18T04:18:35.070696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:35.070696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OXqP8Q2J70tsIKMuQ5Nq23ZVCWiDAmAhheJVJZWiDgINp2H8DmitNf5vFVkNlvs8cNPdeDxNJ3+Antcrp/GgCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:35.071296Z","signed_message":"canonical_sha256_bytes"},"source_id":"0803.3290","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8314364b0267a761b666af7df3bfe34bb1e66cebb16fb889fca8f7f3f11333b8","sha256:33cbc8296893a175b389709129606ad514f29b9053230d1e305ab085a31a72a5"],"state_sha256":"141006d3346f18a79cc3cf1299fb428759501d5b5a74300a8182dfcde786fba7"}