{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:KJEZD4PF6UUYFTYN6XO4EUUHOK","short_pith_number":"pith:KJEZD4PF","schema_version":"1.0","canonical_sha256":"524991f1e5f52982cf0df5ddc2528772b9659533db4210007f98da0c048e4e77","source":{"kind":"arxiv","id":"1307.0648","version":1},"attestation_state":"computed","paper":{"title":"Bounds of some parameters of elliptic curve on finite field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alexey Milovanov","submitted_at":"2013-07-02T09:43:09Z","abstract_excerpt":"I prove lower bounds of some parameters of elliptic curve over finite field. There parameters are closely interrelated with cryptographic stability of elliptic curve."},"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":"1307.0648","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-07-02T09:43:09Z","cross_cats_sorted":[],"title_canon_sha256":"5de8963d3e4cdf88b907764f213a572aa35d6ee0741516ef5ae83b1c628982e7","abstract_canon_sha256":"54a7ee1ca60ad9d7ba7c35dbf06f7ad945cdc40c8ca40c30b80e1cdb5d75d9ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:24.960216Z","signature_b64":"y0uyllILaPUP3eWSUlz1dhDMGRddZgRcO/ioiFpusr4j48UhPLz2RNcSGiKwLpVsWNXCtZwbA5o3REkChGjWBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"524991f1e5f52982cf0df5ddc2528772b9659533db4210007f98da0c048e4e77","last_reissued_at":"2026-05-18T03:19:24.959723Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:24.959723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounds of some parameters of elliptic curve on finite field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alexey Milovanov","submitted_at":"2013-07-02T09:43:09Z","abstract_excerpt":"I prove lower bounds of some parameters of elliptic curve over finite field. There parameters are closely interrelated with cryptographic stability of elliptic curve."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0648","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":"1307.0648","created_at":"2026-05-18T03:19:24.959805+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.0648v1","created_at":"2026-05-18T03:19:24.959805+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0648","created_at":"2026-05-18T03:19:24.959805+00:00"},{"alias_kind":"pith_short_12","alias_value":"KJEZD4PF6UUY","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"KJEZD4PF6UUYFTYN","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"KJEZD4PF","created_at":"2026-05-18T12:27:49.015174+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/KJEZD4PF6UUYFTYN6XO4EUUHOK","json":"https://pith.science/pith/KJEZD4PF6UUYFTYN6XO4EUUHOK.json","graph_json":"https://pith.science/api/pith-number/KJEZD4PF6UUYFTYN6XO4EUUHOK/graph.json","events_json":"https://pith.science/api/pith-number/KJEZD4PF6UUYFTYN6XO4EUUHOK/events.json","paper":"https://pith.science/paper/KJEZD4PF"},"agent_actions":{"view_html":"https://pith.science/pith/KJEZD4PF6UUYFTYN6XO4EUUHOK","download_json":"https://pith.science/pith/KJEZD4PF6UUYFTYN6XO4EUUHOK.json","view_paper":"https://pith.science/paper/KJEZD4PF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.0648&json=true","fetch_graph":"https://pith.science/api/pith-number/KJEZD4PF6UUYFTYN6XO4EUUHOK/graph.json","fetch_events":"https://pith.science/api/pith-number/KJEZD4PF6UUYFTYN6XO4EUUHOK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KJEZD4PF6UUYFTYN6XO4EUUHOK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KJEZD4PF6UUYFTYN6XO4EUUHOK/action/storage_attestation","attest_author":"https://pith.science/pith/KJEZD4PF6UUYFTYN6XO4EUUHOK/action/author_attestation","sign_citation":"https://pith.science/pith/KJEZD4PF6UUYFTYN6XO4EUUHOK/action/citation_signature","submit_replication":"https://pith.science/pith/KJEZD4PF6UUYFTYN6XO4EUUHOK/action/replication_record"}},"created_at":"2026-05-18T03:19:24.959805+00:00","updated_at":"2026-05-18T03:19:24.959805+00:00"}