{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:56HV4J7WNREE7XEWZO7XXD2YJ3","short_pith_number":"pith:56HV4J7W","schema_version":"1.0","canonical_sha256":"ef8f5e27f66c484fdc96cbbf7b8f584ec07eafd25df35e645ff316f2afa63e3f","source":{"kind":"arxiv","id":"1701.03089","version":1},"attestation_state":"computed","paper":{"title":"The Hilbert scheme of 11 points in A^3 is irreducible","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Bernt Ivar Utst{\\o}l N{\\o}dland, Joachim Jelisiejew, Theodosios Douvropoulos, Zach Teitler","submitted_at":"2017-01-11T18:28:49Z","abstract_excerpt":"We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on the Hilbert scheme."},"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":"1701.03089","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-11T18:28:49Z","cross_cats_sorted":["math.AC"],"title_canon_sha256":"15f34dce8dd281cf664dce431e87e30c35e9d2dd8f511f5fb51ebe786948b972","abstract_canon_sha256":"544a96264d55407e78e14b150f2ea47fddd74c3f84f4242d9453eb88fba98476"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:59.347444Z","signature_b64":"vQm3mtvuiXHXFfXSBnCSFOUB+oma7Ujiq6IbMZaggfIJ6VtsPzOVMFwWX0rcebzXUusZ3RwxC9Xk65hgFtiVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef8f5e27f66c484fdc96cbbf7b8f584ec07eafd25df35e645ff316f2afa63e3f","last_reissued_at":"2026-05-18T00:52:59.346998Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:59.346998Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Hilbert scheme of 11 points in A^3 is irreducible","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC"],"primary_cat":"math.AG","authors_text":"Bernt Ivar Utst{\\o}l N{\\o}dland, Joachim Jelisiejew, Theodosios Douvropoulos, Zach Teitler","submitted_at":"2017-01-11T18:28:49Z","abstract_excerpt":"We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on the Hilbert scheme."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03089","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":"1701.03089","created_at":"2026-05-18T00:52:59.347063+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.03089v1","created_at":"2026-05-18T00:52:59.347063+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03089","created_at":"2026-05-18T00:52:59.347063+00:00"},{"alias_kind":"pith_short_12","alias_value":"56HV4J7WNREE","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"56HV4J7WNREE7XEW","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"56HV4J7W","created_at":"2026-05-18T12:31:00.734936+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/56HV4J7WNREE7XEWZO7XXD2YJ3","json":"https://pith.science/pith/56HV4J7WNREE7XEWZO7XXD2YJ3.json","graph_json":"https://pith.science/api/pith-number/56HV4J7WNREE7XEWZO7XXD2YJ3/graph.json","events_json":"https://pith.science/api/pith-number/56HV4J7WNREE7XEWZO7XXD2YJ3/events.json","paper":"https://pith.science/paper/56HV4J7W"},"agent_actions":{"view_html":"https://pith.science/pith/56HV4J7WNREE7XEWZO7XXD2YJ3","download_json":"https://pith.science/pith/56HV4J7WNREE7XEWZO7XXD2YJ3.json","view_paper":"https://pith.science/paper/56HV4J7W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.03089&json=true","fetch_graph":"https://pith.science/api/pith-number/56HV4J7WNREE7XEWZO7XXD2YJ3/graph.json","fetch_events":"https://pith.science/api/pith-number/56HV4J7WNREE7XEWZO7XXD2YJ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/56HV4J7WNREE7XEWZO7XXD2YJ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/56HV4J7WNREE7XEWZO7XXD2YJ3/action/storage_attestation","attest_author":"https://pith.science/pith/56HV4J7WNREE7XEWZO7XXD2YJ3/action/author_attestation","sign_citation":"https://pith.science/pith/56HV4J7WNREE7XEWZO7XXD2YJ3/action/citation_signature","submit_replication":"https://pith.science/pith/56HV4J7WNREE7XEWZO7XXD2YJ3/action/replication_record"}},"created_at":"2026-05-18T00:52:59.347063+00:00","updated_at":"2026-05-18T00:52:59.347063+00:00"}