{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:6TPKTR5MV3KHGPB2N2GEORBV25","short_pith_number":"pith:6TPKTR5M","schema_version":"1.0","canonical_sha256":"f4dea9c7acaed4733c3a6e8c474435d77562f9059c2f46ab09bcc7f688153f8d","source":{"kind":"arxiv","id":"1609.00956","version":1},"attestation_state":"computed","paper":{"title":"Factorial hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Aleksandr V. Pukhlikov","submitted_at":"2016-09-04T16:14:14Z","abstract_excerpt":"In this paper the codimension of the complement to the set of factorial hypersurfaces of degree $d$ in ${\\mathbb P}^N$ is estimated for $d\\geqslant 4$, $N\\geqslant 7$."},"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":"1609.00956","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-04T16:14:14Z","cross_cats_sorted":[],"title_canon_sha256":"9aa7e045287428850ef344950844880109f92c2f4768373458e1e331b69ffe9c","abstract_canon_sha256":"5f63405c6f37b615a69c3cd4f56754e10d021fed8c06661fe94b0458a58de56f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:19.487121Z","signature_b64":"aK+zqO5SrhlJWr9kqMhEdwdmoGds2Y/CUPZeL52Frxg2qWoS3VOHyhARz4oH39klF6Nvn+JE9RM4ZfAxLNLFBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4dea9c7acaed4733c3a6e8c474435d77562f9059c2f46ab09bcc7f688153f8d","last_reissued_at":"2026-05-18T01:06:19.486427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:19.486427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Factorial hypersurfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Aleksandr V. Pukhlikov","submitted_at":"2016-09-04T16:14:14Z","abstract_excerpt":"In this paper the codimension of the complement to the set of factorial hypersurfaces of degree $d$ in ${\\mathbb P}^N$ is estimated for $d\\geqslant 4$, $N\\geqslant 7$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00956","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":"1609.00956","created_at":"2026-05-18T01:06:19.486517+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.00956v1","created_at":"2026-05-18T01:06:19.486517+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00956","created_at":"2026-05-18T01:06:19.486517+00:00"},{"alias_kind":"pith_short_12","alias_value":"6TPKTR5MV3KH","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"6TPKTR5MV3KHGPB2","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"6TPKTR5M","created_at":"2026-05-18T12:30:04.600751+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/6TPKTR5MV3KHGPB2N2GEORBV25","json":"https://pith.science/pith/6TPKTR5MV3KHGPB2N2GEORBV25.json","graph_json":"https://pith.science/api/pith-number/6TPKTR5MV3KHGPB2N2GEORBV25/graph.json","events_json":"https://pith.science/api/pith-number/6TPKTR5MV3KHGPB2N2GEORBV25/events.json","paper":"https://pith.science/paper/6TPKTR5M"},"agent_actions":{"view_html":"https://pith.science/pith/6TPKTR5MV3KHGPB2N2GEORBV25","download_json":"https://pith.science/pith/6TPKTR5MV3KHGPB2N2GEORBV25.json","view_paper":"https://pith.science/paper/6TPKTR5M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.00956&json=true","fetch_graph":"https://pith.science/api/pith-number/6TPKTR5MV3KHGPB2N2GEORBV25/graph.json","fetch_events":"https://pith.science/api/pith-number/6TPKTR5MV3KHGPB2N2GEORBV25/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6TPKTR5MV3KHGPB2N2GEORBV25/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6TPKTR5MV3KHGPB2N2GEORBV25/action/storage_attestation","attest_author":"https://pith.science/pith/6TPKTR5MV3KHGPB2N2GEORBV25/action/author_attestation","sign_citation":"https://pith.science/pith/6TPKTR5MV3KHGPB2N2GEORBV25/action/citation_signature","submit_replication":"https://pith.science/pith/6TPKTR5MV3KHGPB2N2GEORBV25/action/replication_record"}},"created_at":"2026-05-18T01:06:19.486517+00:00","updated_at":"2026-05-18T01:06:19.486517+00:00"}