{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:OQHIL67426X6CAO5PKIHSHQ5HG","short_pith_number":"pith:OQHIL674","schema_version":"1.0","canonical_sha256":"740e85fbfcd7afe101dd7a90791e1d3995afd0b7a37021eb19c2eedc3013b335","source":{"kind":"arxiv","id":"math/0701634","version":2},"attestation_state":"computed","paper":{"title":"The local Tamagawa number conjecture for Hecke characters, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Francesc Bars","submitted_at":"2007-01-23T08:52:39Z","abstract_excerpt":"In this paper we prove the weak local Tamagawa number conjecture for the remaining non-critical cases for the motives associated to Hecke characters $\\psi_{\\theta}:\\mathbb{A}_K\\to K^*$ of the author's previous paper, where $K$ is an imaginary quadratic field with $cl(K)=1$, under certain restrictions which originate mainly from the Iwasawa theory of imaginary quadratic fields."},"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":"math/0701634","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2007-01-23T08:52:39Z","cross_cats_sorted":[],"title_canon_sha256":"05954368eabe0911a270ffdddbd3784f05131bd03d2b5dab6feaec7030bdd762","abstract_canon_sha256":"bad0161582ee4d847172d14e0a5499872fe4542c63e74b6a6e2c41c4df927c46"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:38.994882Z","signature_b64":"AFl+HnRnWV4uVjeTcudKAP0h5qOx4HRHXqN2a5txVjZfdUh+LmDFt+VuUx8DZIsBg5xnS112CmyoPZu/bOqjDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"740e85fbfcd7afe101dd7a90791e1d3995afd0b7a37021eb19c2eedc3013b335","last_reissued_at":"2026-05-18T01:11:38.994513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:38.994513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The local Tamagawa number conjecture for Hecke characters, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Francesc Bars","submitted_at":"2007-01-23T08:52:39Z","abstract_excerpt":"In this paper we prove the weak local Tamagawa number conjecture for the remaining non-critical cases for the motives associated to Hecke characters $\\psi_{\\theta}:\\mathbb{A}_K\\to K^*$ of the author's previous paper, where $K$ is an imaginary quadratic field with $cl(K)=1$, under certain restrictions which originate mainly from the Iwasawa theory of imaginary quadratic fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0701634","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":"math/0701634","created_at":"2026-05-18T01:11:38.994581+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0701634v2","created_at":"2026-05-18T01:11:38.994581+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0701634","created_at":"2026-05-18T01:11:38.994581+00:00"},{"alias_kind":"pith_short_12","alias_value":"OQHIL67426X6","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"OQHIL67426X6CAO5","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"OQHIL674","created_at":"2026-05-18T12:25:55.427421+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/OQHIL67426X6CAO5PKIHSHQ5HG","json":"https://pith.science/pith/OQHIL67426X6CAO5PKIHSHQ5HG.json","graph_json":"https://pith.science/api/pith-number/OQHIL67426X6CAO5PKIHSHQ5HG/graph.json","events_json":"https://pith.science/api/pith-number/OQHIL67426X6CAO5PKIHSHQ5HG/events.json","paper":"https://pith.science/paper/OQHIL674"},"agent_actions":{"view_html":"https://pith.science/pith/OQHIL67426X6CAO5PKIHSHQ5HG","download_json":"https://pith.science/pith/OQHIL67426X6CAO5PKIHSHQ5HG.json","view_paper":"https://pith.science/paper/OQHIL674","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0701634&json=true","fetch_graph":"https://pith.science/api/pith-number/OQHIL67426X6CAO5PKIHSHQ5HG/graph.json","fetch_events":"https://pith.science/api/pith-number/OQHIL67426X6CAO5PKIHSHQ5HG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OQHIL67426X6CAO5PKIHSHQ5HG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OQHIL67426X6CAO5PKIHSHQ5HG/action/storage_attestation","attest_author":"https://pith.science/pith/OQHIL67426X6CAO5PKIHSHQ5HG/action/author_attestation","sign_citation":"https://pith.science/pith/OQHIL67426X6CAO5PKIHSHQ5HG/action/citation_signature","submit_replication":"https://pith.science/pith/OQHIL67426X6CAO5PKIHSHQ5HG/action/replication_record"}},"created_at":"2026-05-18T01:11:38.994581+00:00","updated_at":"2026-05-18T01:11:38.994581+00:00"}