{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CBUHVAB6KL2YWQ2IO6GMXLQMM3","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":"6906498df07624b186a433bf58c6961be4394288415a053a92fd157961c985bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-10-30T10:05:27Z","title_canon_sha256":"4804a9d84374d0c7bbf78d16cc27075c09a0dfbaf11c1094893ad379436cb7eb"},"schema_version":"1.0","source":{"id":"1710.10840","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10840","created_at":"2026-05-18T00:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10840v1","created_at":"2026-05-18T00:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10840","created_at":"2026-05-18T00:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"CBUHVAB6KL2Y","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CBUHVAB6KL2YWQ2I","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CBUHVAB6","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:6e539f9055c633e5cb301e33437e4f7ad1a73d1c08f864b74e93600fc2df39f7","target":"graph","created_at":"2026-05-18T00:31:46Z","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":"In \\citenospec{MR1097615} several spectral sequences for (global and local) Iwasawa modules over (not necessarily commutative) Iwasawa algebras (mainly of $p$-adic Lie groups) over $\\Z_p$ are established, which are very useful for determining certain properties of such modules in arithmetic applications. Slight generalizations of said results can be found in \\citenospec{MR2333680} (for abelian groups and more general coefficient rings), \\citenospec{MR1924402} (for products of not necessarily abelian groups, but with $\\Z_p$-coefficients), and \\citenospec{MR3084561}. Unfortunately, some of Janns","authors_text":"Oliver Thomas, Otmar Venjakob","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-10-30T10:05:27Z","title":"On Spectral Sequences for Iwasawa Adjoints \\`a la Jannsen for Families"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10840","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:c4e17b9872664d57399a77e8cc425e5ae388bbff45caeadd9039af7efa215df1","target":"record","created_at":"2026-05-18T00:31:46Z","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":"6906498df07624b186a433bf58c6961be4394288415a053a92fd157961c985bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-10-30T10:05:27Z","title_canon_sha256":"4804a9d84374d0c7bbf78d16cc27075c09a0dfbaf11c1094893ad379436cb7eb"},"schema_version":"1.0","source":{"id":"1710.10840","kind":"arxiv","version":1}},"canonical_sha256":"10687a803e52f58b4348778ccbae0c66f1b2ce76363361a38d446e990136e44a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10687a803e52f58b4348778ccbae0c66f1b2ce76363361a38d446e990136e44a","first_computed_at":"2026-05-18T00:31:46.331253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:46.331253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s2JIsHFjqAAcyIZUHUcwuDOrbv7dgFQtESVgSFid/gqTLsJ2xzQ41yzBpLaAdoOG2YHJ1ZNhLMTb6NQi92vqBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:46.332026Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10840","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4e17b9872664d57399a77e8cc425e5ae388bbff45caeadd9039af7efa215df1","sha256:6e539f9055c633e5cb301e33437e4f7ad1a73d1c08f864b74e93600fc2df39f7"],"state_sha256":"df7bc93b6d0e27860150bfdf2ecffffad4e564c95fcc7bd29e5feda4b49e4df5"}