{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:VTQCF52DTXUCXZXD7XDX3D4YY4","short_pith_number":"pith:VTQCF52D","schema_version":"1.0","canonical_sha256":"ace022f7439de82be6e3fdc77d8f98c72b24522f03c29304bb2c9994676b63b0","source":{"kind":"arxiv","id":"1703.07888","version":1},"attestation_state":"computed","paper":{"title":"On the structure of elliptic curves over finite extensions of $\\mathbb{Q}_p$ with additive reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Michiel Kosters, Ren\\'e Pannekoek","submitted_at":"2017-03-22T23:51:38Z","abstract_excerpt":"Let $p$ be a prime and let $K$ be a finite extension of $\\mathbb{Q}_p$. Let $E/K$ be an elliptic curve with additive reduction. In this paper, we study the topological group structure of the set of points of good reduction of $E(K)$. In particular, if $K/\\mathbb{Q}_p$ is unramified, we show how one can read off the topological group structure from the Weierstrass coefficients defining $E$."},"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":"1703.07888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-03-22T23:51:38Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"f7b3ebce1045574f8fd9931c39e02a95e94cd2aa3a9f4d9153800f801a93d2bc","abstract_canon_sha256":"1781f16314bebda5598c8ef4b44ee78ba64086fe6882038d705717278b238644"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:04.523979Z","signature_b64":"1cyX9UscY7zAVVvG8PWp98/xlWsc+fU8kzdg6VhbHZJ/WyTMUiTBwFWFZOHxcUpxjAkSonTYm4DWM4pkn+jGAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ace022f7439de82be6e3fdc77d8f98c72b24522f03c29304bb2c9994676b63b0","last_reissued_at":"2026-05-18T00:48:04.523505Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:04.523505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the structure of elliptic curves over finite extensions of $\\mathbb{Q}_p$ with additive reduction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Michiel Kosters, Ren\\'e Pannekoek","submitted_at":"2017-03-22T23:51:38Z","abstract_excerpt":"Let $p$ be a prime and let $K$ be a finite extension of $\\mathbb{Q}_p$. Let $E/K$ be an elliptic curve with additive reduction. In this paper, we study the topological group structure of the set of points of good reduction of $E(K)$. In particular, if $K/\\mathbb{Q}_p$ is unramified, we show how one can read off the topological group structure from the Weierstrass coefficients defining $E$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07888","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":"1703.07888","created_at":"2026-05-18T00:48:04.523572+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.07888v1","created_at":"2026-05-18T00:48:04.523572+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07888","created_at":"2026-05-18T00:48:04.523572+00:00"},{"alias_kind":"pith_short_12","alias_value":"VTQCF52DTXUC","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"VTQCF52DTXUCXZXD","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"VTQCF52D","created_at":"2026-05-18T12:31:49.984773+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/VTQCF52DTXUCXZXD7XDX3D4YY4","json":"https://pith.science/pith/VTQCF52DTXUCXZXD7XDX3D4YY4.json","graph_json":"https://pith.science/api/pith-number/VTQCF52DTXUCXZXD7XDX3D4YY4/graph.json","events_json":"https://pith.science/api/pith-number/VTQCF52DTXUCXZXD7XDX3D4YY4/events.json","paper":"https://pith.science/paper/VTQCF52D"},"agent_actions":{"view_html":"https://pith.science/pith/VTQCF52DTXUCXZXD7XDX3D4YY4","download_json":"https://pith.science/pith/VTQCF52DTXUCXZXD7XDX3D4YY4.json","view_paper":"https://pith.science/paper/VTQCF52D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.07888&json=true","fetch_graph":"https://pith.science/api/pith-number/VTQCF52DTXUCXZXD7XDX3D4YY4/graph.json","fetch_events":"https://pith.science/api/pith-number/VTQCF52DTXUCXZXD7XDX3D4YY4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VTQCF52DTXUCXZXD7XDX3D4YY4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VTQCF52DTXUCXZXD7XDX3D4YY4/action/storage_attestation","attest_author":"https://pith.science/pith/VTQCF52DTXUCXZXD7XDX3D4YY4/action/author_attestation","sign_citation":"https://pith.science/pith/VTQCF52DTXUCXZXD7XDX3D4YY4/action/citation_signature","submit_replication":"https://pith.science/pith/VTQCF52DTXUCXZXD7XDX3D4YY4/action/replication_record"}},"created_at":"2026-05-18T00:48:04.523572+00:00","updated_at":"2026-05-18T00:48:04.523572+00:00"}