{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZFJXETQF5VYGTICPMA7UXNOBTO","short_pith_number":"pith:ZFJXETQF","schema_version":"1.0","canonical_sha256":"c953724e05ed7069a04f603f4bb5c19b860f746ae415e526f1412eab95aa2b45","source":{"kind":"arxiv","id":"1701.00719","version":1},"attestation_state":"computed","paper":{"title":"Comparision of the definitions of generalized solution of the Cauchy problem for quasi-linear equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alexander Gasnikov","submitted_at":"2017-01-02T18:12:42Z","abstract_excerpt":"In preprint we consider and compare different definitions of generalized solution of the Cauchy problem for 1d-scalar quasilinear equation (conservation law). We start from the classical approaches goes back to I.M. Gelfand, O.A. Oleinik, S.N. Kruzhkov and move to the modern finite-difference approximations approaches belongs to A.A. Shananin and G.M. Henkin. We discuss the conditions that provide definitions to be equivalent."},"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":"1701.00719","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-01-02T18:12:42Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"e3d513cfae87f8d21eff32ed07aca828dfe0b28ab898b9b240f5d6b0e964ac64","abstract_canon_sha256":"2d380ac0dbb478ad56811d4b302cde175a7104d5f6a67a9af227558b5476014e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:28.411562Z","signature_b64":"OUNPyXzdR4+KyxXKxf0X2St2iLTcft5IvpF2rmjQFM6QPsPtcZ8v6ldXKe437tnCzcFL3zDQOXN91R+EsDJZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c953724e05ed7069a04f603f4bb5c19b860f746ae415e526f1412eab95aa2b45","last_reissued_at":"2026-05-18T00:53:28.411208Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:28.411208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comparision of the definitions of generalized solution of the Cauchy problem for quasi-linear equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alexander Gasnikov","submitted_at":"2017-01-02T18:12:42Z","abstract_excerpt":"In preprint we consider and compare different definitions of generalized solution of the Cauchy problem for 1d-scalar quasilinear equation (conservation law). We start from the classical approaches goes back to I.M. Gelfand, O.A. Oleinik, S.N. Kruzhkov and move to the modern finite-difference approximations approaches belongs to A.A. Shananin and G.M. Henkin. We discuss the conditions that provide definitions to be equivalent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.00719","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":"1701.00719","created_at":"2026-05-18T00:53:28.411262+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.00719v1","created_at":"2026-05-18T00:53:28.411262+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.00719","created_at":"2026-05-18T00:53:28.411262+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZFJXETQF5VYG","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZFJXETQF5VYGTICP","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZFJXETQF","created_at":"2026-05-18T12:31:59.375834+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/ZFJXETQF5VYGTICPMA7UXNOBTO","json":"https://pith.science/pith/ZFJXETQF5VYGTICPMA7UXNOBTO.json","graph_json":"https://pith.science/api/pith-number/ZFJXETQF5VYGTICPMA7UXNOBTO/graph.json","events_json":"https://pith.science/api/pith-number/ZFJXETQF5VYGTICPMA7UXNOBTO/events.json","paper":"https://pith.science/paper/ZFJXETQF"},"agent_actions":{"view_html":"https://pith.science/pith/ZFJXETQF5VYGTICPMA7UXNOBTO","download_json":"https://pith.science/pith/ZFJXETQF5VYGTICPMA7UXNOBTO.json","view_paper":"https://pith.science/paper/ZFJXETQF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.00719&json=true","fetch_graph":"https://pith.science/api/pith-number/ZFJXETQF5VYGTICPMA7UXNOBTO/graph.json","fetch_events":"https://pith.science/api/pith-number/ZFJXETQF5VYGTICPMA7UXNOBTO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZFJXETQF5VYGTICPMA7UXNOBTO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZFJXETQF5VYGTICPMA7UXNOBTO/action/storage_attestation","attest_author":"https://pith.science/pith/ZFJXETQF5VYGTICPMA7UXNOBTO/action/author_attestation","sign_citation":"https://pith.science/pith/ZFJXETQF5VYGTICPMA7UXNOBTO/action/citation_signature","submit_replication":"https://pith.science/pith/ZFJXETQF5VYGTICPMA7UXNOBTO/action/replication_record"}},"created_at":"2026-05-18T00:53:28.411262+00:00","updated_at":"2026-05-18T00:53:28.411262+00:00"}