{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:D626KCCSNNXQ2LQY5GXSMVXKQF","short_pith_number":"pith:D626KCCS","schema_version":"1.0","canonical_sha256":"1fb5e508526b6f0d2e18e9af2656ea817b95ee21b6bebfc5300cd9fc89e2e76e","source":{"kind":"arxiv","id":"1708.05967","version":1},"attestation_state":"computed","paper":{"title":"A canonical basis of two-cycles on a K3 surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.GT"],"primary_cat":"math.AT","authors_text":"Iskander A. Taimanov","submitted_at":"2017-08-20T14:13:08Z","abstract_excerpt":"We construct a canonical basis of two-cycles, on a $K3$ surface, in which the intersection form takes the canonical form $2E_8(-1) \\oplus 3H$. The basic elements are realized by formal sums of smooth submanifolds."},"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":"1708.05967","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2017-08-20T14:13:08Z","cross_cats_sorted":["math.AG","math.GT"],"title_canon_sha256":"20b78302094f8e23ffd5be0cf52192ed14dfbdd1246911837c2cf104f8027105","abstract_canon_sha256":"8124ea784b71619c2f2fb2433075f3e6b42f13f40ab9f606dd933be7ce0dfa00"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:06.241618Z","signature_b64":"pU5fsGmck0pvQOhBd/PXjDsvNX8g0Vi2s5YTIZE5gRRcxKLE212Urp9k60GmNTwncT3quxh21B88Zc4h4l7LBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fb5e508526b6f0d2e18e9af2656ea817b95ee21b6bebfc5300cd9fc89e2e76e","last_reissued_at":"2026-05-17T23:49:06.241010Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:06.241010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A canonical basis of two-cycles on a K3 surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.GT"],"primary_cat":"math.AT","authors_text":"Iskander A. Taimanov","submitted_at":"2017-08-20T14:13:08Z","abstract_excerpt":"We construct a canonical basis of two-cycles, on a $K3$ surface, in which the intersection form takes the canonical form $2E_8(-1) \\oplus 3H$. The basic elements are realized by formal sums of smooth submanifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05967","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":"1708.05967","created_at":"2026-05-17T23:49:06.241089+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.05967v1","created_at":"2026-05-17T23:49:06.241089+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05967","created_at":"2026-05-17T23:49:06.241089+00:00"},{"alias_kind":"pith_short_12","alias_value":"D626KCCSNNXQ","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"D626KCCSNNXQ2LQY","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"D626KCCS","created_at":"2026-05-18T12:31:10.602751+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/D626KCCSNNXQ2LQY5GXSMVXKQF","json":"https://pith.science/pith/D626KCCSNNXQ2LQY5GXSMVXKQF.json","graph_json":"https://pith.science/api/pith-number/D626KCCSNNXQ2LQY5GXSMVXKQF/graph.json","events_json":"https://pith.science/api/pith-number/D626KCCSNNXQ2LQY5GXSMVXKQF/events.json","paper":"https://pith.science/paper/D626KCCS"},"agent_actions":{"view_html":"https://pith.science/pith/D626KCCSNNXQ2LQY5GXSMVXKQF","download_json":"https://pith.science/pith/D626KCCSNNXQ2LQY5GXSMVXKQF.json","view_paper":"https://pith.science/paper/D626KCCS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.05967&json=true","fetch_graph":"https://pith.science/api/pith-number/D626KCCSNNXQ2LQY5GXSMVXKQF/graph.json","fetch_events":"https://pith.science/api/pith-number/D626KCCSNNXQ2LQY5GXSMVXKQF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D626KCCSNNXQ2LQY5GXSMVXKQF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D626KCCSNNXQ2LQY5GXSMVXKQF/action/storage_attestation","attest_author":"https://pith.science/pith/D626KCCSNNXQ2LQY5GXSMVXKQF/action/author_attestation","sign_citation":"https://pith.science/pith/D626KCCSNNXQ2LQY5GXSMVXKQF/action/citation_signature","submit_replication":"https://pith.science/pith/D626KCCSNNXQ2LQY5GXSMVXKQF/action/replication_record"}},"created_at":"2026-05-17T23:49:06.241089+00:00","updated_at":"2026-05-17T23:49:06.241089+00:00"}