{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LBTZ44NAAKEHWZ7KOLMVX4EAQO","short_pith_number":"pith:LBTZ44NA","canonical_record":{"source":{"id":"1409.7856","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-09-28T00:06:21Z","cross_cats_sorted":[],"title_canon_sha256":"70bb962afc0df509805a0eef915b91a21166b400153b4ec76c1fb8a27706c7fe","abstract_canon_sha256":"6b10fcfb018214f7815e222e10d56536cfe73625c3d46c0f0f802d8792177a40"},"schema_version":"1.0"},"canonical_sha256":"58679e71a002887b67ea72d95bf08083958739273e6ce13b98ae869f3678d1fc","source":{"kind":"arxiv","id":"1409.7856","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.7856","created_at":"2026-05-18T01:24:20Z"},{"alias_kind":"arxiv_version","alias_value":"1409.7856v3","created_at":"2026-05-18T01:24:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7856","created_at":"2026-05-18T01:24:20Z"},{"alias_kind":"pith_short_12","alias_value":"LBTZ44NAAKEH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"LBTZ44NAAKEHWZ7K","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"LBTZ44NA","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LBTZ44NAAKEHWZ7KOLMVX4EAQO","target":"record","payload":{"canonical_record":{"source":{"id":"1409.7856","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-09-28T00:06:21Z","cross_cats_sorted":[],"title_canon_sha256":"70bb962afc0df509805a0eef915b91a21166b400153b4ec76c1fb8a27706c7fe","abstract_canon_sha256":"6b10fcfb018214f7815e222e10d56536cfe73625c3d46c0f0f802d8792177a40"},"schema_version":"1.0"},"canonical_sha256":"58679e71a002887b67ea72d95bf08083958739273e6ce13b98ae869f3678d1fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:20.271798Z","signature_b64":"SjEPhqK+4xkMaOtQQoo2VgE2tldbdp8rr7gggAfPMCOoEt4liDbLnle6G5MkSEWGKUj+N/N4YxKbm5QYLJiqCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58679e71a002887b67ea72d95bf08083958739273e6ce13b98ae869f3678d1fc","last_reissued_at":"2026-05-18T01:24:20.271251Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:20.271251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.7856","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J5Y6GRA43YXxVrPab/szVgf3dW1FuUTF8ldQQegJl/+qD5L5/7MzZOYe8BDiKzJWpivnkBd0cya/Q2+08ZboBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:12:59.161939Z"},"content_sha256":"2ff4741fce9ab5af17f5a57d2377cffe8494902a8a184852e1c981fbde0b3894","schema_version":"1.0","event_id":"sha256:2ff4741fce9ab5af17f5a57d2377cffe8494902a8a184852e1c981fbde0b3894"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LBTZ44NAAKEHWZ7KOLMVX4EAQO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the arithmetic of one del Pezzo surface over the field with three elements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Deepak Majeti, Nikita Kozin","submitted_at":"2014-09-28T00:06:21Z","abstract_excerpt":"We discuss the problem of existence of rational curves on a certain del Pezzo surface from a computational point of view and suggest a computer algorithm implementing search. In particular, our computations reveal that the surface contains 920 rational curves with parametrizations of degree 8 and does not contain rational curves for a smaller degree."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7856","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y4kuykHVtZS2C577yxf40sORfZHEMsZAErgrwJvmYzhRVa+iRlqOMYBFLgjojjPDCd5xDcWgPjScPUyUjKdKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:12:59.162284Z"},"content_sha256":"f0a057f66853d69d8bf3906ade7d9efcca5c2b2732d7daabbf4b150096e97438","schema_version":"1.0","event_id":"sha256:f0a057f66853d69d8bf3906ade7d9efcca5c2b2732d7daabbf4b150096e97438"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LBTZ44NAAKEHWZ7KOLMVX4EAQO/bundle.json","state_url":"https://pith.science/pith/LBTZ44NAAKEHWZ7KOLMVX4EAQO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LBTZ44NAAKEHWZ7KOLMVX4EAQO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T12:12:59Z","links":{"resolver":"https://pith.science/pith/LBTZ44NAAKEHWZ7KOLMVX4EAQO","bundle":"https://pith.science/pith/LBTZ44NAAKEHWZ7KOLMVX4EAQO/bundle.json","state":"https://pith.science/pith/LBTZ44NAAKEHWZ7KOLMVX4EAQO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LBTZ44NAAKEHWZ7KOLMVX4EAQO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LBTZ44NAAKEHWZ7KOLMVX4EAQO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6b10fcfb018214f7815e222e10d56536cfe73625c3d46c0f0f802d8792177a40","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-09-28T00:06:21Z","title_canon_sha256":"70bb962afc0df509805a0eef915b91a21166b400153b4ec76c1fb8a27706c7fe"},"schema_version":"1.0","source":{"id":"1409.7856","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.7856","created_at":"2026-05-18T01:24:20Z"},{"alias_kind":"arxiv_version","alias_value":"1409.7856v3","created_at":"2026-05-18T01:24:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7856","created_at":"2026-05-18T01:24:20Z"},{"alias_kind":"pith_short_12","alias_value":"LBTZ44NAAKEH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"LBTZ44NAAKEHWZ7K","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"LBTZ44NA","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:f0a057f66853d69d8bf3906ade7d9efcca5c2b2732d7daabbf4b150096e97438","target":"graph","created_at":"2026-05-18T01:24:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We discuss the problem of existence of rational curves on a certain del Pezzo surface from a computational point of view and suggest a computer algorithm implementing search. In particular, our computations reveal that the surface contains 920 rational curves with parametrizations of degree 8 and does not contain rational curves for a smaller degree.","authors_text":"Deepak Majeti, Nikita Kozin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-09-28T00:06:21Z","title":"On the arithmetic of one del Pezzo surface over the field with three elements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7856","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2ff4741fce9ab5af17f5a57d2377cffe8494902a8a184852e1c981fbde0b3894","target":"record","created_at":"2026-05-18T01:24:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6b10fcfb018214f7815e222e10d56536cfe73625c3d46c0f0f802d8792177a40","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-09-28T00:06:21Z","title_canon_sha256":"70bb962afc0df509805a0eef915b91a21166b400153b4ec76c1fb8a27706c7fe"},"schema_version":"1.0","source":{"id":"1409.7856","kind":"arxiv","version":3}},"canonical_sha256":"58679e71a002887b67ea72d95bf08083958739273e6ce13b98ae869f3678d1fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58679e71a002887b67ea72d95bf08083958739273e6ce13b98ae869f3678d1fc","first_computed_at":"2026-05-18T01:24:20.271251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:20.271251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SjEPhqK+4xkMaOtQQoo2VgE2tldbdp8rr7gggAfPMCOoEt4liDbLnle6G5MkSEWGKUj+N/N4YxKbm5QYLJiqCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:20.271798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.7856","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ff4741fce9ab5af17f5a57d2377cffe8494902a8a184852e1c981fbde0b3894","sha256:f0a057f66853d69d8bf3906ade7d9efcca5c2b2732d7daabbf4b150096e97438"],"state_sha256":"e1f7d49da1539082c3d980103ba3cf71da38a5c3eceade0f9b756f322ea99bba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XquE7RZgp3gm+G9N678EY5ngBPfHwzthk2cOKZdicLzgWdosNMLMxkNTFYXBGlwdWbbWHYEXnX2c+SNjcU76DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:12:59.164431Z","bundle_sha256":"c1d747732811ab2f66e023c74bb4ed0d3f35a22ceef72950e8311d9ad0116958"}}