{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4KDH4ZX6NT75JAG2GBNF63IG4T","short_pith_number":"pith:4KDH4ZX6","schema_version":"1.0","canonical_sha256":"e2867e66fe6cffd480da305a5f6d06e4dc4de4d28c26c74b2cb906551f8fb1ba","source":{"kind":"arxiv","id":"1202.1177","version":4},"attestation_state":"computed","paper":{"title":"Heuristics on pairing-friendly abelian varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"David Gruenewald, John Boxall","submitted_at":"2012-02-06T15:42:48Z","abstract_excerpt":"We discuss heuristic asymptotic formulae for the number of pairing-friendly abelian varieties over prime fields, generalizing previous work of one of the authors arXiv:math1107.0307"},"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":"1202.1177","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-02-06T15:42:48Z","cross_cats_sorted":[],"title_canon_sha256":"7dd4155d3e08ba7d7c87c76f89270394a68fa80a0e5b1074d9573cd3121d17bd","abstract_canon_sha256":"52a7a17d80009c09bcf9e42ea354dd8f0269be50a0947c58ded04a597d71a88e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:18.964705Z","signature_b64":"pbBW9kdx2uGnXb/swKlCNKLJvpe8oJLdwJmwdVuNZlOl+2DOWaheaAxfMkS9D7HV5KY0jPMb8yXNUF6elH6vBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2867e66fe6cffd480da305a5f6d06e4dc4de4d28c26c74b2cb906551f8fb1ba","last_reissued_at":"2026-05-17T23:53:18.964102Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:18.964102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Heuristics on pairing-friendly abelian varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"David Gruenewald, John Boxall","submitted_at":"2012-02-06T15:42:48Z","abstract_excerpt":"We discuss heuristic asymptotic formulae for the number of pairing-friendly abelian varieties over prime fields, generalizing previous work of one of the authors arXiv:math1107.0307"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1177","kind":"arxiv","version":4},"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":"1202.1177","created_at":"2026-05-17T23:53:18.964182+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.1177v4","created_at":"2026-05-17T23:53:18.964182+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1177","created_at":"2026-05-17T23:53:18.964182+00:00"},{"alias_kind":"pith_short_12","alias_value":"4KDH4ZX6NT75","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4KDH4ZX6NT75JAG2","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4KDH4ZX6","created_at":"2026-05-18T12:26:53.410803+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/4KDH4ZX6NT75JAG2GBNF63IG4T","json":"https://pith.science/pith/4KDH4ZX6NT75JAG2GBNF63IG4T.json","graph_json":"https://pith.science/api/pith-number/4KDH4ZX6NT75JAG2GBNF63IG4T/graph.json","events_json":"https://pith.science/api/pith-number/4KDH4ZX6NT75JAG2GBNF63IG4T/events.json","paper":"https://pith.science/paper/4KDH4ZX6"},"agent_actions":{"view_html":"https://pith.science/pith/4KDH4ZX6NT75JAG2GBNF63IG4T","download_json":"https://pith.science/pith/4KDH4ZX6NT75JAG2GBNF63IG4T.json","view_paper":"https://pith.science/paper/4KDH4ZX6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.1177&json=true","fetch_graph":"https://pith.science/api/pith-number/4KDH4ZX6NT75JAG2GBNF63IG4T/graph.json","fetch_events":"https://pith.science/api/pith-number/4KDH4ZX6NT75JAG2GBNF63IG4T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4KDH4ZX6NT75JAG2GBNF63IG4T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4KDH4ZX6NT75JAG2GBNF63IG4T/action/storage_attestation","attest_author":"https://pith.science/pith/4KDH4ZX6NT75JAG2GBNF63IG4T/action/author_attestation","sign_citation":"https://pith.science/pith/4KDH4ZX6NT75JAG2GBNF63IG4T/action/citation_signature","submit_replication":"https://pith.science/pith/4KDH4ZX6NT75JAG2GBNF63IG4T/action/replication_record"}},"created_at":"2026-05-17T23:53:18.964182+00:00","updated_at":"2026-05-17T23:53:18.964182+00:00"}