{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:D2ZCICEKZ2OIJMUCXO42FJTWM5","short_pith_number":"pith:D2ZCICEK","schema_version":"1.0","canonical_sha256":"1eb224088ace9c84b282bbb9a2a67667456d1a786a15a56efaaf23870cd69a11","source":{"kind":"arxiv","id":"1212.1812","version":1},"attestation_state":"computed","paper":{"title":"On the one dimensional polynomial and regular images of $\\R^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jos\\'e F. Fernando","submitted_at":"2012-12-08T16:28:43Z","abstract_excerpt":"In this work we present a full geometric characterization of the 1-dimensional polynomial and regular images $S$ of $\\R^n$ and we compute for all of them the invariants ${\\rm p(S)}$ and ${\\rm r}(S)$, already introduced in \\cite{fg2}."},"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":"1212.1812","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-12-08T16:28:43Z","cross_cats_sorted":[],"title_canon_sha256":"485bd33d55e479001f53a0e09a24bf26fae8160f2de608c3b4dbc745a33bb0c2","abstract_canon_sha256":"e47fe5cdac1d9a948a0e26cca8d859b0c2dd6e8679e1b115e4826e3ec0abb58a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:55.055498Z","signature_b64":"BhPJvXfMIqaP7ZGszMvDVd2U/mrkQBLOsRRJn5iK2Lcq4PyYKOtfzpXkV6XtAdBaqFaQtaAcOgiVLn/EPw2+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1eb224088ace9c84b282bbb9a2a67667456d1a786a15a56efaaf23870cd69a11","last_reissued_at":"2026-05-18T03:38:55.055048Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:55.055048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the one dimensional polynomial and regular images of $\\R^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jos\\'e F. Fernando","submitted_at":"2012-12-08T16:28:43Z","abstract_excerpt":"In this work we present a full geometric characterization of the 1-dimensional polynomial and regular images $S$ of $\\R^n$ and we compute for all of them the invariants ${\\rm p(S)}$ and ${\\rm r}(S)$, already introduced in \\cite{fg2}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1812","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":"1212.1812","created_at":"2026-05-18T03:38:55.055118+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.1812v1","created_at":"2026-05-18T03:38:55.055118+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1812","created_at":"2026-05-18T03:38:55.055118+00:00"},{"alias_kind":"pith_short_12","alias_value":"D2ZCICEKZ2OI","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"D2ZCICEKZ2OIJMUC","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"D2ZCICEK","created_at":"2026-05-18T12:27:01.376967+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/D2ZCICEKZ2OIJMUCXO42FJTWM5","json":"https://pith.science/pith/D2ZCICEKZ2OIJMUCXO42FJTWM5.json","graph_json":"https://pith.science/api/pith-number/D2ZCICEKZ2OIJMUCXO42FJTWM5/graph.json","events_json":"https://pith.science/api/pith-number/D2ZCICEKZ2OIJMUCXO42FJTWM5/events.json","paper":"https://pith.science/paper/D2ZCICEK"},"agent_actions":{"view_html":"https://pith.science/pith/D2ZCICEKZ2OIJMUCXO42FJTWM5","download_json":"https://pith.science/pith/D2ZCICEKZ2OIJMUCXO42FJTWM5.json","view_paper":"https://pith.science/paper/D2ZCICEK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.1812&json=true","fetch_graph":"https://pith.science/api/pith-number/D2ZCICEKZ2OIJMUCXO42FJTWM5/graph.json","fetch_events":"https://pith.science/api/pith-number/D2ZCICEKZ2OIJMUCXO42FJTWM5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D2ZCICEKZ2OIJMUCXO42FJTWM5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D2ZCICEKZ2OIJMUCXO42FJTWM5/action/storage_attestation","attest_author":"https://pith.science/pith/D2ZCICEKZ2OIJMUCXO42FJTWM5/action/author_attestation","sign_citation":"https://pith.science/pith/D2ZCICEKZ2OIJMUCXO42FJTWM5/action/citation_signature","submit_replication":"https://pith.science/pith/D2ZCICEKZ2OIJMUCXO42FJTWM5/action/replication_record"}},"created_at":"2026-05-18T03:38:55.055118+00:00","updated_at":"2026-05-18T03:38:55.055118+00:00"}