{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7CY3MW5MI3D5DNOQWUIO4ROBJJ","short_pith_number":"pith:7CY3MW5M","schema_version":"1.0","canonical_sha256":"f8b1b65bac46c7d1b5d0b510ee45c14a5d13d116071d3a5897d4ea46512e18ce","source":{"kind":"arxiv","id":"1407.4371","version":1},"attestation_state":"computed","paper":{"title":"Iwasawa theory for symmetric powers of CM modular forms at nonordinary primes, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jonathan Pottharst, Robert Harron","submitted_at":"2014-07-16T16:18:50Z","abstract_excerpt":"Continuing the study of the Iwasawa theory of symmetric powers of CM modular forms at supersingular primes begun by the first author and Antonio Lei, we prove a Main Conjecture equating the \"admissible\" $p$-adic $L$-functions to characteristic ideals of \"finite-slope\" Selmer modules constructed by the second author. As a key ingredient, we improve Rubin's result on the Main Conjecture of Iwasawa theory for imaginary quadratic fields to an equality at inert primes."},"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":"1407.4371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-07-16T16:18:50Z","cross_cats_sorted":[],"title_canon_sha256":"f87b3ccf58195ac11a6a47e467a9fb772508a28cc3f1438baa62cc348c9da50c","abstract_canon_sha256":"c407c33afeff717311855fe50e7406fad1c0964bbadf025834f1a332d9acf6d6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:30.588390Z","signature_b64":"tXTVt4NczOGFZpxkFaoGZgWKLX5G/JJv3CPWCIpMl/62LwawZzM5XyOWry0qBTRsAfRO/uvkvfAM1VGTRF1vDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8b1b65bac46c7d1b5d0b510ee45c14a5d13d116071d3a5897d4ea46512e18ce","last_reissued_at":"2026-05-18T02:47:30.587874Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:30.587874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Iwasawa theory for symmetric powers of CM modular forms at nonordinary primes, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jonathan Pottharst, Robert Harron","submitted_at":"2014-07-16T16:18:50Z","abstract_excerpt":"Continuing the study of the Iwasawa theory of symmetric powers of CM modular forms at supersingular primes begun by the first author and Antonio Lei, we prove a Main Conjecture equating the \"admissible\" $p$-adic $L$-functions to characteristic ideals of \"finite-slope\" Selmer modules constructed by the second author. As a key ingredient, we improve Rubin's result on the Main Conjecture of Iwasawa theory for imaginary quadratic fields to an equality at inert primes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4371","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":"1407.4371","created_at":"2026-05-18T02:47:30.587949+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.4371v1","created_at":"2026-05-18T02:47:30.587949+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4371","created_at":"2026-05-18T02:47:30.587949+00:00"},{"alias_kind":"pith_short_12","alias_value":"7CY3MW5MI3D5","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"7CY3MW5MI3D5DNOQ","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"7CY3MW5M","created_at":"2026-05-18T12:28:16.859392+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/7CY3MW5MI3D5DNOQWUIO4ROBJJ","json":"https://pith.science/pith/7CY3MW5MI3D5DNOQWUIO4ROBJJ.json","graph_json":"https://pith.science/api/pith-number/7CY3MW5MI3D5DNOQWUIO4ROBJJ/graph.json","events_json":"https://pith.science/api/pith-number/7CY3MW5MI3D5DNOQWUIO4ROBJJ/events.json","paper":"https://pith.science/paper/7CY3MW5M"},"agent_actions":{"view_html":"https://pith.science/pith/7CY3MW5MI3D5DNOQWUIO4ROBJJ","download_json":"https://pith.science/pith/7CY3MW5MI3D5DNOQWUIO4ROBJJ.json","view_paper":"https://pith.science/paper/7CY3MW5M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.4371&json=true","fetch_graph":"https://pith.science/api/pith-number/7CY3MW5MI3D5DNOQWUIO4ROBJJ/graph.json","fetch_events":"https://pith.science/api/pith-number/7CY3MW5MI3D5DNOQWUIO4ROBJJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7CY3MW5MI3D5DNOQWUIO4ROBJJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7CY3MW5MI3D5DNOQWUIO4ROBJJ/action/storage_attestation","attest_author":"https://pith.science/pith/7CY3MW5MI3D5DNOQWUIO4ROBJJ/action/author_attestation","sign_citation":"https://pith.science/pith/7CY3MW5MI3D5DNOQWUIO4ROBJJ/action/citation_signature","submit_replication":"https://pith.science/pith/7CY3MW5MI3D5DNOQWUIO4ROBJJ/action/replication_record"}},"created_at":"2026-05-18T02:47:30.587949+00:00","updated_at":"2026-05-18T02:47:30.587949+00:00"}