{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:66EIJTGW6J7F7SGMI43CVLGIYL","short_pith_number":"pith:66EIJTGW","schema_version":"1.0","canonical_sha256":"f78884ccd6f27e5fc8cc47362aacc8c2e8fc1055fc91da8d06b99c1529766992","source":{"kind":"arxiv","id":"1410.1039","version":2},"attestation_state":"computed","paper":{"title":"l-Adic Representations and their Associated Invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Samuele Anni, Vladimir Dokchitser","submitted_at":"2014-10-04T11:16:38Z","abstract_excerpt":"These are notes from a 3-lecture course given by V. Dokchitser at the ICTP in Trieste, Italy, 1st--5th of September 2014, as part of a graduate summer school on \"L-functions and modular forms\". The course is meant to serve as an introduction to l-adic Galois representations over local fields with \"l not equal to p\", and has a slightly computational bent. It is worth mentioning that the course is not about varieties and their etale cohomology, but merely about the representation theory."},"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":"1410.1039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-10-04T11:16:38Z","cross_cats_sorted":[],"title_canon_sha256":"e47a98ff3e1d56d06d7cda4fd1ae61447a1171ef3782f6562ad9ff7d214fb814","abstract_canon_sha256":"476d6ae240b413b6a431209ca3f64e262ff2e16fe575620c31b6949742d3a1c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:29.437799Z","signature_b64":"4G7DJFortXd2+NlG4vdSNbTUJE+zyk1t/ZLCkPmdR93lOjWPneRKieDkv1Tmo1JtQroWqP4bgeOr7f2hNPcbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f78884ccd6f27e5fc8cc47362aacc8c2e8fc1055fc91da8d06b99c1529766992","last_reissued_at":"2026-05-18T02:22:29.437289Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:29.437289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"l-Adic Representations and their Associated Invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Samuele Anni, Vladimir Dokchitser","submitted_at":"2014-10-04T11:16:38Z","abstract_excerpt":"These are notes from a 3-lecture course given by V. Dokchitser at the ICTP in Trieste, Italy, 1st--5th of September 2014, as part of a graduate summer school on \"L-functions and modular forms\". The course is meant to serve as an introduction to l-adic Galois representations over local fields with \"l not equal to p\", and has a slightly computational bent. It is worth mentioning that the course is not about varieties and their etale cohomology, but merely about the representation theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1039","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":"1410.1039","created_at":"2026-05-18T02:22:29.437382+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.1039v2","created_at":"2026-05-18T02:22:29.437382+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1039","created_at":"2026-05-18T02:22:29.437382+00:00"},{"alias_kind":"pith_short_12","alias_value":"66EIJTGW6J7F","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"66EIJTGW6J7F7SGM","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"66EIJTGW","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/66EIJTGW6J7F7SGMI43CVLGIYL","json":"https://pith.science/pith/66EIJTGW6J7F7SGMI43CVLGIYL.json","graph_json":"https://pith.science/api/pith-number/66EIJTGW6J7F7SGMI43CVLGIYL/graph.json","events_json":"https://pith.science/api/pith-number/66EIJTGW6J7F7SGMI43CVLGIYL/events.json","paper":"https://pith.science/paper/66EIJTGW"},"agent_actions":{"view_html":"https://pith.science/pith/66EIJTGW6J7F7SGMI43CVLGIYL","download_json":"https://pith.science/pith/66EIJTGW6J7F7SGMI43CVLGIYL.json","view_paper":"https://pith.science/paper/66EIJTGW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.1039&json=true","fetch_graph":"https://pith.science/api/pith-number/66EIJTGW6J7F7SGMI43CVLGIYL/graph.json","fetch_events":"https://pith.science/api/pith-number/66EIJTGW6J7F7SGMI43CVLGIYL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/66EIJTGW6J7F7SGMI43CVLGIYL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/66EIJTGW6J7F7SGMI43CVLGIYL/action/storage_attestation","attest_author":"https://pith.science/pith/66EIJTGW6J7F7SGMI43CVLGIYL/action/author_attestation","sign_citation":"https://pith.science/pith/66EIJTGW6J7F7SGMI43CVLGIYL/action/citation_signature","submit_replication":"https://pith.science/pith/66EIJTGW6J7F7SGMI43CVLGIYL/action/replication_record"}},"created_at":"2026-05-18T02:22:29.437382+00:00","updated_at":"2026-05-18T02:22:29.437382+00:00"}