{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HQLAZJF2JOO2PRBT7KZ4LN3WHI","short_pith_number":"pith:HQLAZJF2","schema_version":"1.0","canonical_sha256":"3c160ca4ba4b9da7c433fab3c5b7763a0c6695f54859fed9c5e46b37cb7739c0","source":{"kind":"arxiv","id":"1706.05938","version":2},"attestation_state":"computed","paper":{"title":"Local topological algebraicity with algebraic coefficients of analytic sets or functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.CV"],"primary_cat":"math.AG","authors_text":"Guillaume Rond","submitted_at":"2017-06-19T13:42:52Z","abstract_excerpt":"We prove that any complex or real analytic set or function germ is topologically equivalent to a germ defined by polynomial equations whose coefficients are algebraic numbers."},"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":"1706.05938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-19T13:42:52Z","cross_cats_sorted":["math.AC","math.CV"],"title_canon_sha256":"b269f0f085a45f96d4111fe118add131f310edd7efc13c84203bf3bc6eeaedfe","abstract_canon_sha256":"08f5944e7e4058f3d09bfa2583c8192bde28c67c5cfa556a4a840b5b4389e3d7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:46.464539Z","signature_b64":"eNojUx2/Hrr+lP6RCyG3JRb47PxzBhlajAUdOCrOvi5zUT2ORK5GR2i4xJmPRcGF4z1xrO5ihS30bCiodsbjBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c160ca4ba4b9da7c433fab3c5b7763a0c6695f54859fed9c5e46b37cb7739c0","last_reissued_at":"2026-05-18T00:08:46.463802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:46.463802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local topological algebraicity with algebraic coefficients of analytic sets or functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.CV"],"primary_cat":"math.AG","authors_text":"Guillaume Rond","submitted_at":"2017-06-19T13:42:52Z","abstract_excerpt":"We prove that any complex or real analytic set or function germ is topologically equivalent to a germ defined by polynomial equations whose coefficients are algebraic numbers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.05938","kind":"arxiv","version":2},"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":"1706.05938","created_at":"2026-05-18T00:08:46.463926+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.05938v2","created_at":"2026-05-18T00:08:46.463926+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.05938","created_at":"2026-05-18T00:08:46.463926+00:00"},{"alias_kind":"pith_short_12","alias_value":"HQLAZJF2JOO2","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_16","alias_value":"HQLAZJF2JOO2PRBT","created_at":"2026-05-18T12:31:18.294218+00:00"},{"alias_kind":"pith_short_8","alias_value":"HQLAZJF2","created_at":"2026-05-18T12:31:18.294218+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/HQLAZJF2JOO2PRBT7KZ4LN3WHI","json":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI.json","graph_json":"https://pith.science/api/pith-number/HQLAZJF2JOO2PRBT7KZ4LN3WHI/graph.json","events_json":"https://pith.science/api/pith-number/HQLAZJF2JOO2PRBT7KZ4LN3WHI/events.json","paper":"https://pith.science/paper/HQLAZJF2"},"agent_actions":{"view_html":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI","download_json":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI.json","view_paper":"https://pith.science/paper/HQLAZJF2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.05938&json=true","fetch_graph":"https://pith.science/api/pith-number/HQLAZJF2JOO2PRBT7KZ4LN3WHI/graph.json","fetch_events":"https://pith.science/api/pith-number/HQLAZJF2JOO2PRBT7KZ4LN3WHI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/action/storage_attestation","attest_author":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/action/author_attestation","sign_citation":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/action/citation_signature","submit_replication":"https://pith.science/pith/HQLAZJF2JOO2PRBT7KZ4LN3WHI/action/replication_record"}},"created_at":"2026-05-18T00:08:46.463926+00:00","updated_at":"2026-05-18T00:08:46.463926+00:00"}