{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BRQBFQQCDMPERS4QM3WDFEVH56","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":"f9b139d85358be7fe52e89e0a2fa34200a1594031d0db7948d8b049294c0c54c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-25T09:26:19Z","title_canon_sha256":"e7d8bb148f2ad1fed25d9f47d95bd0bd91156c58976d29a83208cb673a3079c7"},"schema_version":"1.0","source":{"id":"1602.07858","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07858","created_at":"2026-05-18T00:18:27Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07858v1","created_at":"2026-05-18T00:18:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07858","created_at":"2026-05-18T00:18:27Z"},{"alias_kind":"pith_short_12","alias_value":"BRQBFQQCDMPE","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BRQBFQQCDMPERS4Q","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BRQBFQQC","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:05634825c029fe485602de69ac14272b1684576ae040e36c29c42ba50edcec57","target":"graph","created_at":"2026-05-18T00:18:27Z","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 study the equivariant local epsilon constant conjecture, denoted by $C_{EP}^{na}(N/K,V)$, as formulated in various forms by Kato, Benois and Berger, Fukaya and Kato and others, for certain 1-dimensional twists $T=\\mathbb{Z}_p(\\chi^{nr})(1)$ of $\\mathbb{Z}_p(1)$. Following ideas of recent work of Izychev and Venjakob we prove that for $T=\\mathbb{Z}_p(1)$ a conjecture of Breuning is equivalent to $C_{EP}^{na}(N/K,V)$. As our main result we show the validity of $C_{EP}^{na}(N/K,V)$ for certain wildly and weakly ramified abelian extensions $N/K$. A crucial step in the proof is the construction ","authors_text":"Alessandro Cobbe, Werner Bley","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-25T09:26:19Z","title":"The equivariant local $\\epsilon$-constant conjecture for unramified twists of $\\mathbb{Z}_p(1)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07858","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":"sha256:6691b342a8cad756e7b1f9325a3a8c4c5786204f0e8b21d7ea252a18428ec13c","target":"record","created_at":"2026-05-18T00:18:27Z","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":"f9b139d85358be7fe52e89e0a2fa34200a1594031d0db7948d8b049294c0c54c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-25T09:26:19Z","title_canon_sha256":"e7d8bb148f2ad1fed25d9f47d95bd0bd91156c58976d29a83208cb673a3079c7"},"schema_version":"1.0","source":{"id":"1602.07858","kind":"arxiv","version":1}},"canonical_sha256":"0c6012c2021b1e48cb9066ec3292a7ef9e898b6f7586acfec7873c6cf0b1be16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c6012c2021b1e48cb9066ec3292a7ef9e898b6f7586acfec7873c6cf0b1be16","first_computed_at":"2026-05-18T00:18:27.138115Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:27.138115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vukz/AfZwlZw1uj30/TM+hEitYOJkh5SKcieJsgU39N8nKkinwHWrIYqDdvxkIrbqzHkKrDfvY8q1u9AwYvqBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:27.138601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.07858","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6691b342a8cad756e7b1f9325a3a8c4c5786204f0e8b21d7ea252a18428ec13c","sha256:05634825c029fe485602de69ac14272b1684576ae040e36c29c42ba50edcec57"],"state_sha256":"0470ce96800f3e6187429dce3ca26e7f3a3cc4d6ec65d2470f51da04fb71d9ac"}