{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:YEHSVZSD3E3PWGYCOE6H24N5EX","short_pith_number":"pith:YEHSVZSD","schema_version":"1.0","canonical_sha256":"c10f2ae643d936fb1b02713c7d71bd25daef9350cf0c125caeec6077ba8601d0","source":{"kind":"arxiv","id":"1610.09920","version":2},"attestation_state":"computed","paper":{"title":"Wach modules, regulator maps, and epsilon-isomorphisms in families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Otmar Venjakob, Rebecca Bellovin","submitted_at":"2016-10-31T13:47:47Z","abstract_excerpt":"We prove the local epsilon-isomorphism conjecture of Fukaya and Kato [FK06] for certain crystalline families of G_Qp-representations. This conjecture can be regarded as a local analogue of the Iwasawa main conjecture for families. Our work extends earlier work of Kato for rank-1 modules (cf. [Ven13]), of Benois and Berger for crystalline G_Qp-representations with respect to the cyclotomic extension (cf. [BB08]), as well as of Loeffler, Venjakob, and Zerbes (cf. [LVZ13]) for crystalline G_Qp- representations with respect to abelian p-adic Lie extensions of Qp. Nakamura [Nak13, Nak14] has also f"},"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":"1610.09920","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-10-31T13:47:47Z","cross_cats_sorted":[],"title_canon_sha256":"4bf58156155d05552da057a3690a13454f6b62f880092a1459a1d604c454e847","abstract_canon_sha256":"2aa1413f3d5617829ce8c31c568266de86b28ee97b2e8d6919713a4ed7b6ec49"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:21.132087Z","signature_b64":"7sPvhygHBoxoWUmgmjRGriKmmO3qTiOl96nOGGeOoZdwsm9r7jJYWivuvsYQjx/NJU0s0K6oZmMwKOaUBXLsAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c10f2ae643d936fb1b02713c7d71bd25daef9350cf0c125caeec6077ba8601d0","last_reissued_at":"2026-05-18T00:32:21.131435Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:21.131435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wach modules, regulator maps, and epsilon-isomorphisms in families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Otmar Venjakob, Rebecca Bellovin","submitted_at":"2016-10-31T13:47:47Z","abstract_excerpt":"We prove the local epsilon-isomorphism conjecture of Fukaya and Kato [FK06] for certain crystalline families of G_Qp-representations. This conjecture can be regarded as a local analogue of the Iwasawa main conjecture for families. Our work extends earlier work of Kato for rank-1 modules (cf. [Ven13]), of Benois and Berger for crystalline G_Qp-representations with respect to the cyclotomic extension (cf. [BB08]), as well as of Loeffler, Venjakob, and Zerbes (cf. [LVZ13]) for crystalline G_Qp- representations with respect to abelian p-adic Lie extensions of Qp. Nakamura [Nak13, Nak14] has also f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09920","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1610.09920","created_at":"2026-05-18T00:32:21.131525+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.09920v2","created_at":"2026-05-18T00:32:21.131525+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09920","created_at":"2026-05-18T00:32:21.131525+00:00"},{"alias_kind":"pith_short_12","alias_value":"YEHSVZSD3E3P","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"YEHSVZSD3E3PWGYC","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"YEHSVZSD","created_at":"2026-05-18T12:30:53.716459+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/YEHSVZSD3E3PWGYCOE6H24N5EX","json":"https://pith.science/pith/YEHSVZSD3E3PWGYCOE6H24N5EX.json","graph_json":"https://pith.science/api/pith-number/YEHSVZSD3E3PWGYCOE6H24N5EX/graph.json","events_json":"https://pith.science/api/pith-number/YEHSVZSD3E3PWGYCOE6H24N5EX/events.json","paper":"https://pith.science/paper/YEHSVZSD"},"agent_actions":{"view_html":"https://pith.science/pith/YEHSVZSD3E3PWGYCOE6H24N5EX","download_json":"https://pith.science/pith/YEHSVZSD3E3PWGYCOE6H24N5EX.json","view_paper":"https://pith.science/paper/YEHSVZSD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.09920&json=true","fetch_graph":"https://pith.science/api/pith-number/YEHSVZSD3E3PWGYCOE6H24N5EX/graph.json","fetch_events":"https://pith.science/api/pith-number/YEHSVZSD3E3PWGYCOE6H24N5EX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YEHSVZSD3E3PWGYCOE6H24N5EX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YEHSVZSD3E3PWGYCOE6H24N5EX/action/storage_attestation","attest_author":"https://pith.science/pith/YEHSVZSD3E3PWGYCOE6H24N5EX/action/author_attestation","sign_citation":"https://pith.science/pith/YEHSVZSD3E3PWGYCOE6H24N5EX/action/citation_signature","submit_replication":"https://pith.science/pith/YEHSVZSD3E3PWGYCOE6H24N5EX/action/replication_record"}},"created_at":"2026-05-18T00:32:21.131525+00:00","updated_at":"2026-05-18T00:32:21.131525+00:00"}