{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NPHVAWF5B7BF7Z6OQMFCUPY3XI","short_pith_number":"pith:NPHVAWF5","schema_version":"1.0","canonical_sha256":"6bcf5058bd0fc25fe7ce830a2a3f1bba11205948177ddd7acc6c6911cfa40976","source":{"kind":"arxiv","id":"1401.0278","version":4},"attestation_state":"computed","paper":{"title":"On infinite dimensional algebraic transformation groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Vladimir L. Popov","submitted_at":"2014-01-01T12:24:26Z","abstract_excerpt":"We explore orbits, rational invariant functions, and quotients of the natural actions of connected, not necessarily finite dimensional subgroups of the automorphism groups of irreducible algebraic varieties. The applications of the results obtained are given."},"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":"1401.0278","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-01-01T12:24:26Z","cross_cats_sorted":[],"title_canon_sha256":"2e22ba92f3adb63089313ff14b1eb4f674acaebfe968e37bee7a74ef55dfd9b8","abstract_canon_sha256":"78cf549744206ad8a85aac045c4312ef978394742876f0a33eda4aa08475b44f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:34.088970Z","signature_b64":"Y44a4K+cYOkuzugLnAhuy/TA7do/KIP1V9MTk3fruNzJryly7VCe56k/R9ocMCxHe6zYzInb298Bh8wNseCPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6bcf5058bd0fc25fe7ce830a2a3f1bba11205948177ddd7acc6c6911cfa40976","last_reissued_at":"2026-05-18T02:52:34.088432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:34.088432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On infinite dimensional algebraic transformation groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Vladimir L. Popov","submitted_at":"2014-01-01T12:24:26Z","abstract_excerpt":"We explore orbits, rational invariant functions, and quotients of the natural actions of connected, not necessarily finite dimensional subgroups of the automorphism groups of irreducible algebraic varieties. The applications of the results obtained are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0278","kind":"arxiv","version":4},"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":"1401.0278","created_at":"2026-05-18T02:52:34.088515+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.0278v4","created_at":"2026-05-18T02:52:34.088515+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0278","created_at":"2026-05-18T02:52:34.088515+00:00"},{"alias_kind":"pith_short_12","alias_value":"NPHVAWF5B7BF","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NPHVAWF5B7BF7Z6O","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NPHVAWF5","created_at":"2026-05-18T12:28:41.024544+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/NPHVAWF5B7BF7Z6OQMFCUPY3XI","json":"https://pith.science/pith/NPHVAWF5B7BF7Z6OQMFCUPY3XI.json","graph_json":"https://pith.science/api/pith-number/NPHVAWF5B7BF7Z6OQMFCUPY3XI/graph.json","events_json":"https://pith.science/api/pith-number/NPHVAWF5B7BF7Z6OQMFCUPY3XI/events.json","paper":"https://pith.science/paper/NPHVAWF5"},"agent_actions":{"view_html":"https://pith.science/pith/NPHVAWF5B7BF7Z6OQMFCUPY3XI","download_json":"https://pith.science/pith/NPHVAWF5B7BF7Z6OQMFCUPY3XI.json","view_paper":"https://pith.science/paper/NPHVAWF5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.0278&json=true","fetch_graph":"https://pith.science/api/pith-number/NPHVAWF5B7BF7Z6OQMFCUPY3XI/graph.json","fetch_events":"https://pith.science/api/pith-number/NPHVAWF5B7BF7Z6OQMFCUPY3XI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NPHVAWF5B7BF7Z6OQMFCUPY3XI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NPHVAWF5B7BF7Z6OQMFCUPY3XI/action/storage_attestation","attest_author":"https://pith.science/pith/NPHVAWF5B7BF7Z6OQMFCUPY3XI/action/author_attestation","sign_citation":"https://pith.science/pith/NPHVAWF5B7BF7Z6OQMFCUPY3XI/action/citation_signature","submit_replication":"https://pith.science/pith/NPHVAWF5B7BF7Z6OQMFCUPY3XI/action/replication_record"}},"created_at":"2026-05-18T02:52:34.088515+00:00","updated_at":"2026-05-18T02:52:34.088515+00:00"}