{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:36NJFTF7H7BGEE36WIZ2DUQ3ZR","short_pith_number":"pith:36NJFTF7","schema_version":"1.0","canonical_sha256":"df9a92ccbf3fc262137eb233a1d21bcc4f76f28af70c21e9475082022092bbf4","source":{"kind":"arxiv","id":"1108.5852","version":1},"attestation_state":"computed","paper":{"title":"Laplace transformation of Lie class \\omega=1 overdetermined systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Boris Kruglikov","submitted_at":"2011-08-30T07:22:17Z","abstract_excerpt":"In this paper we investigate overdetermined systems of scalar PDEs on the plane with one common characteristic, whose general solution depends on 1 function of 1 variable. We describe linearization of such systems and their integration via Laplace transformation, relating this to Lie's integration theorem and formal theory of PDEs."},"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":"1108.5852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-08-30T07:22:17Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"84c955b94d792a5b80618e27ca91dde4e9e16c448f97734406f8c817318a3cfb","abstract_canon_sha256":"e43a23ecb114fe40624d949005933d57b01bb975964a8c9b7e972d058f02fc4a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:44.879574Z","signature_b64":"DEZgcjxo+jJwD0fZi6Qk6jImfoQElLyBzwCLVlZXpYuhk/OMdfAKIr5v7b9kIYb5hpaTVDXnMSoImlH0h2obAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df9a92ccbf3fc262137eb233a1d21bcc4f76f28af70c21e9475082022092bbf4","last_reissued_at":"2026-05-18T02:00:44.878943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:44.878943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Laplace transformation of Lie class \\omega=1 overdetermined systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Boris Kruglikov","submitted_at":"2011-08-30T07:22:17Z","abstract_excerpt":"In this paper we investigate overdetermined systems of scalar PDEs on the plane with one common characteristic, whose general solution depends on 1 function of 1 variable. We describe linearization of such systems and their integration via Laplace transformation, relating this to Lie's integration theorem and formal theory of PDEs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5852","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":"1108.5852","created_at":"2026-05-18T02:00:44.879034+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.5852v1","created_at":"2026-05-18T02:00:44.879034+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5852","created_at":"2026-05-18T02:00:44.879034+00:00"},{"alias_kind":"pith_short_12","alias_value":"36NJFTF7H7BG","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"36NJFTF7H7BGEE36","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"36NJFTF7","created_at":"2026-05-18T12:26:18.847500+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/36NJFTF7H7BGEE36WIZ2DUQ3ZR","json":"https://pith.science/pith/36NJFTF7H7BGEE36WIZ2DUQ3ZR.json","graph_json":"https://pith.science/api/pith-number/36NJFTF7H7BGEE36WIZ2DUQ3ZR/graph.json","events_json":"https://pith.science/api/pith-number/36NJFTF7H7BGEE36WIZ2DUQ3ZR/events.json","paper":"https://pith.science/paper/36NJFTF7"},"agent_actions":{"view_html":"https://pith.science/pith/36NJFTF7H7BGEE36WIZ2DUQ3ZR","download_json":"https://pith.science/pith/36NJFTF7H7BGEE36WIZ2DUQ3ZR.json","view_paper":"https://pith.science/paper/36NJFTF7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.5852&json=true","fetch_graph":"https://pith.science/api/pith-number/36NJFTF7H7BGEE36WIZ2DUQ3ZR/graph.json","fetch_events":"https://pith.science/api/pith-number/36NJFTF7H7BGEE36WIZ2DUQ3ZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/36NJFTF7H7BGEE36WIZ2DUQ3ZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/36NJFTF7H7BGEE36WIZ2DUQ3ZR/action/storage_attestation","attest_author":"https://pith.science/pith/36NJFTF7H7BGEE36WIZ2DUQ3ZR/action/author_attestation","sign_citation":"https://pith.science/pith/36NJFTF7H7BGEE36WIZ2DUQ3ZR/action/citation_signature","submit_replication":"https://pith.science/pith/36NJFTF7H7BGEE36WIZ2DUQ3ZR/action/replication_record"}},"created_at":"2026-05-18T02:00:44.879034+00:00","updated_at":"2026-05-18T02:00:44.879034+00:00"}