{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2LD5MPN7QWYYJ3WX7RQ3CHANBW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"92430fdbaf6ea85b8cd244d849458e1564c6a1655f62bc871e36b8610ebc6d21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-15T16:37:13Z","title_canon_sha256":"635498402155e84dd76e8125831cd609fd7321312d7f3b78cc7cada7dbb14533"},"schema_version":"1.0","source":{"id":"1510.04614","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04614","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04614v2","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04614","created_at":"2026-05-18T01:19:38Z"},{"alias_kind":"pith_short_12","alias_value":"2LD5MPN7QWYY","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2LD5MPN7QWYYJ3WX","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2LD5MPN7","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:1176a5148700052f3f2ea9cf174fa70ec22722323db90a4eb811a41d7b135018","target":"graph","created_at":"2026-05-18T01:19:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper, we discuss the total variation bound for the solution of scalar conservation laws with discontinuous flux. We prove the smoothing effect of the equation forcing the $BV_{loc}$ solution near the interface for $L^\\infty$ initial data without the assumption on the uniform convexity of the fluxes made as in [1,21]. The proof relies on the method of characteristics and the explicit formulas.","authors_text":"Shyam Sundar Ghoshal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-15T16:37:13Z","title":"BV regularity near the interface for nonuniform convex discontinuous flux"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04614","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a3f3dba3a5db2643178c93f5e8b0589416494db0e05c903e5714fa6554d3c54e","target":"record","created_at":"2026-05-18T01:19:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"92430fdbaf6ea85b8cd244d849458e1564c6a1655f62bc871e36b8610ebc6d21","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-15T16:37:13Z","title_canon_sha256":"635498402155e84dd76e8125831cd609fd7321312d7f3b78cc7cada7dbb14533"},"schema_version":"1.0","source":{"id":"1510.04614","kind":"arxiv","version":2}},"canonical_sha256":"d2c7d63dbf85b184eed7fc61b11c0d0da5448e05f6a8aaee1d8915a9d12480d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2c7d63dbf85b184eed7fc61b11c0d0da5448e05f6a8aaee1d8915a9d12480d5","first_computed_at":"2026-05-18T01:19:38.499762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:38.499762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sRqOY6wYCfAZp+iCpcbB8z+hR0A23GzsE7hJojY9xb9bsWjkY2MwX7TIxfRp97UIHg2VmMyXn3m9fz53Mv+zCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:38.500475Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.04614","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3f3dba3a5db2643178c93f5e8b0589416494db0e05c903e5714fa6554d3c54e","sha256:1176a5148700052f3f2ea9cf174fa70ec22722323db90a4eb811a41d7b135018"],"state_sha256":"706f5e8bc7dca1901c18911399b38e70c5daf40bc28a19c0b93dfcebf4d35f3b"}