{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:3ABTQFMJQ7NXL6FWJKGWQQCWON","short_pith_number":"pith:3ABTQFMJ","schema_version":"1.0","canonical_sha256":"d80338158987db75f8b64a8d68405673748486fd6d2886dc54043bd1d8adbe54","source":{"kind":"arxiv","id":"1303.1785","version":1},"attestation_state":"computed","paper":{"title":"Local epsilon isomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"David Loeffler, Otmar Venjakob, Sarah Livia Zerbes","submitted_at":"2013-03-07T19:23:36Z","abstract_excerpt":"In this paper, we prove the \"local epsilon-isomorphism conjecture\" of Fukaya and Kato for a particular class of Galois modules obtained by tensoring a Zp-lattice in a crystalline representation of the Galois group of Qp with a representation of an abelian quotient of the Galois group with values in a suitable p-adic local ring. This can be regarded as a local analogue of the Iwasawa main conjecture for abelian p-adic Lie extensions of Qp, extending earlier work of Benois and Berger for the cyclotomic extension. We show that such an epsilon-isomorphism can be constructed using the Perrin-Riou r"},"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":"1303.1785","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-07T19:23:36Z","cross_cats_sorted":[],"title_canon_sha256":"81e30bebd8dec6b1bf49a1d04e64e1b2aee8efad8e014ca0d4076ab576ecb477","abstract_canon_sha256":"06e21b435e1e5303b1869901d3bc4c527dc921d62161880f4836642448d3ae08"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:15.362610Z","signature_b64":"YCTZGdXt8E+hFHPBbYldng/LeVaReRAR5bVixRaJnMb4UDftHXUbbTUwYyj05gfB7LEGPaawNg4Qv5h6lUXfDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d80338158987db75f8b64a8d68405673748486fd6d2886dc54043bd1d8adbe54","last_reissued_at":"2026-05-18T01:28:15.362050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:15.362050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local epsilon isomorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"David Loeffler, Otmar Venjakob, Sarah Livia Zerbes","submitted_at":"2013-03-07T19:23:36Z","abstract_excerpt":"In this paper, we prove the \"local epsilon-isomorphism conjecture\" of Fukaya and Kato for a particular class of Galois modules obtained by tensoring a Zp-lattice in a crystalline representation of the Galois group of Qp with a representation of an abelian quotient of the Galois group with values in a suitable p-adic local ring. This can be regarded as a local analogue of the Iwasawa main conjecture for abelian p-adic Lie extensions of Qp, extending earlier work of Benois and Berger for the cyclotomic extension. We show that such an epsilon-isomorphism can be constructed using the Perrin-Riou r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1785","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":"1303.1785","created_at":"2026-05-18T01:28:15.362142+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.1785v1","created_at":"2026-05-18T01:28:15.362142+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1785","created_at":"2026-05-18T01:28:15.362142+00:00"},{"alias_kind":"pith_short_12","alias_value":"3ABTQFMJQ7NX","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"3ABTQFMJQ7NXL6FW","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"3ABTQFMJ","created_at":"2026-05-18T12:27:32.513160+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/3ABTQFMJQ7NXL6FWJKGWQQCWON","json":"https://pith.science/pith/3ABTQFMJQ7NXL6FWJKGWQQCWON.json","graph_json":"https://pith.science/api/pith-number/3ABTQFMJQ7NXL6FWJKGWQQCWON/graph.json","events_json":"https://pith.science/api/pith-number/3ABTQFMJQ7NXL6FWJKGWQQCWON/events.json","paper":"https://pith.science/paper/3ABTQFMJ"},"agent_actions":{"view_html":"https://pith.science/pith/3ABTQFMJQ7NXL6FWJKGWQQCWON","download_json":"https://pith.science/pith/3ABTQFMJQ7NXL6FWJKGWQQCWON.json","view_paper":"https://pith.science/paper/3ABTQFMJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.1785&json=true","fetch_graph":"https://pith.science/api/pith-number/3ABTQFMJQ7NXL6FWJKGWQQCWON/graph.json","fetch_events":"https://pith.science/api/pith-number/3ABTQFMJQ7NXL6FWJKGWQQCWON/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3ABTQFMJQ7NXL6FWJKGWQQCWON/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3ABTQFMJQ7NXL6FWJKGWQQCWON/action/storage_attestation","attest_author":"https://pith.science/pith/3ABTQFMJQ7NXL6FWJKGWQQCWON/action/author_attestation","sign_citation":"https://pith.science/pith/3ABTQFMJQ7NXL6FWJKGWQQCWON/action/citation_signature","submit_replication":"https://pith.science/pith/3ABTQFMJQ7NXL6FWJKGWQQCWON/action/replication_record"}},"created_at":"2026-05-18T01:28:15.362142+00:00","updated_at":"2026-05-18T01:28:15.362142+00:00"}