{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:T2JTJHBARZ4N6APQJNIEWKRP4I","short_pith_number":"pith:T2JTJHBA","schema_version":"1.0","canonical_sha256":"9e93349c208e78df01f04b504b2a2fe2295c48c5e702d99b7e7db62c48ee80fd","source":{"kind":"arxiv","id":"1512.08435","version":2},"attestation_state":"computed","paper":{"title":"Constructive General Neron Desingularization for one dimensional local rings","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Dorin Popescu, Gerhard Pfister","submitted_at":"2015-12-28T15:38:59Z","abstract_excerpt":"An algorithmic proof of General Neron Desingularization is given here for one dimensional local rings and it is implemented in Singular. Also a theorem recalling Greenberg' strong approximation theorem is presented for one dimensional local rings."},"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":"1512.08435","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.AC","submitted_at":"2015-12-28T15:38:59Z","cross_cats_sorted":[],"title_canon_sha256":"aad9f801351c107c6ec76604736db37788574541ae6dad77efd846e8a0e6407d","abstract_canon_sha256":"bf25935f4c05560171b6ee3b2c4d6720df055af911c83054c5e0bbf775102d04"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:17.843284Z","signature_b64":"OXN+bcLjSraBtXnUjQ5FWiuzX2QaaZsCI59S/Jweqm0/Z5zo27+3NZDN2vy9XQGDcC46ez1zUPnUGTYXyf7yDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e93349c208e78df01f04b504b2a2fe2295c48c5e702d99b7e7db62c48ee80fd","last_reissued_at":"2026-05-18T01:11:17.842821Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:17.842821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constructive General Neron Desingularization for one dimensional local rings","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AC","authors_text":"Dorin Popescu, Gerhard Pfister","submitted_at":"2015-12-28T15:38:59Z","abstract_excerpt":"An algorithmic proof of General Neron Desingularization is given here for one dimensional local rings and it is implemented in Singular. Also a theorem recalling Greenberg' strong approximation theorem is presented for one dimensional local rings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08435","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":"1512.08435","created_at":"2026-05-18T01:11:17.842896+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.08435v2","created_at":"2026-05-18T01:11:17.842896+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08435","created_at":"2026-05-18T01:11:17.842896+00:00"},{"alias_kind":"pith_short_12","alias_value":"T2JTJHBARZ4N","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"T2JTJHBARZ4N6APQ","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"T2JTJHBA","created_at":"2026-05-18T12:29:42.218222+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/T2JTJHBARZ4N6APQJNIEWKRP4I","json":"https://pith.science/pith/T2JTJHBARZ4N6APQJNIEWKRP4I.json","graph_json":"https://pith.science/api/pith-number/T2JTJHBARZ4N6APQJNIEWKRP4I/graph.json","events_json":"https://pith.science/api/pith-number/T2JTJHBARZ4N6APQJNIEWKRP4I/events.json","paper":"https://pith.science/paper/T2JTJHBA"},"agent_actions":{"view_html":"https://pith.science/pith/T2JTJHBARZ4N6APQJNIEWKRP4I","download_json":"https://pith.science/pith/T2JTJHBARZ4N6APQJNIEWKRP4I.json","view_paper":"https://pith.science/paper/T2JTJHBA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.08435&json=true","fetch_graph":"https://pith.science/api/pith-number/T2JTJHBARZ4N6APQJNIEWKRP4I/graph.json","fetch_events":"https://pith.science/api/pith-number/T2JTJHBARZ4N6APQJNIEWKRP4I/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T2JTJHBARZ4N6APQJNIEWKRP4I/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T2JTJHBARZ4N6APQJNIEWKRP4I/action/storage_attestation","attest_author":"https://pith.science/pith/T2JTJHBARZ4N6APQJNIEWKRP4I/action/author_attestation","sign_citation":"https://pith.science/pith/T2JTJHBARZ4N6APQJNIEWKRP4I/action/citation_signature","submit_replication":"https://pith.science/pith/T2JTJHBARZ4N6APQJNIEWKRP4I/action/replication_record"}},"created_at":"2026-05-18T01:11:17.842896+00:00","updated_at":"2026-05-18T01:11:17.842896+00:00"}