{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:VWFH5MP2V4I4RW7ORSPJIQXG5G","short_pith_number":"pith:VWFH5MP2","canonical_record":{"source":{"id":"1310.4339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-16T11:56:40Z","cross_cats_sorted":[],"title_canon_sha256":"a866556f9de4498334bed8ed26bf9cc34f4b690519a67f6b36f6abb713e1059d","abstract_canon_sha256":"5b56c262321049e52e449b6a18f89594c70c974e2873d80047dfee55fd9cc810"},"schema_version":"1.0"},"canonical_sha256":"ad8a7eb1faaf11c8dbee8c9e9442e6e9839fe10ea77f2f4be8becd11249636f7","source":{"kind":"arxiv","id":"1310.4339","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4339","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4339v1","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4339","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"VWFH5MP2V4I4","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VWFH5MP2V4I4RW7O","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VWFH5MP2","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:VWFH5MP2V4I4RW7ORSPJIQXG5G","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4339","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-16T11:56:40Z","cross_cats_sorted":[],"title_canon_sha256":"a866556f9de4498334bed8ed26bf9cc34f4b690519a67f6b36f6abb713e1059d","abstract_canon_sha256":"5b56c262321049e52e449b6a18f89594c70c974e2873d80047dfee55fd9cc810"},"schema_version":"1.0"},"canonical_sha256":"ad8a7eb1faaf11c8dbee8c9e9442e6e9839fe10ea77f2f4be8becd11249636f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:23.128882Z","signature_b64":"menECw4b9vHZMZsswJHECI38p6T7YHMXn9wFoXJMT59UMdWJjw6qXCqiXZN/ePil7KZGF+jqtRs4U7X/QN6qCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad8a7eb1faaf11c8dbee8c9e9442e6e9839fe10ea77f2f4be8becd11249636f7","last_reissued_at":"2026-05-18T03:10:23.128050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:23.128050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4339","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5X1Zrv/q7fwKJoyQ8dLfhzGMilps1kIsPJC6K6M34FXU91o7OrVhAwMsVa/jQPKgVT5bJtCeOWblPDJYzIC2BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:36:05.468934Z"},"content_sha256":"8888a1d7c9476b5562dd687acd2517a24188850ddc3f787ef9852d92b5fbd67d","schema_version":"1.0","event_id":"sha256:8888a1d7c9476b5562dd687acd2517a24188850ddc3f787ef9852d92b5fbd67d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:VWFH5MP2V4I4RW7ORSPJIQXG5G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On quasilinear parabolic evolution equations in weighted Lp-spaces II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jan Pruess, Jeremy LeCrone, Mathias Wilke","submitted_at":"2013-10-16T11:56:40Z","abstract_excerpt":"Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity. The results are applied to reaction-diffusion problems, including Maxwell-Stefan diffusion, and to geometric evolution equations like the surface-diffusion flow or the Willmore flow. The method presented here will be applicable to other parabolic systems, including free boundary problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4339","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IaTp/FmODJwOywGCIz4Cpt968YYV+SaVKPN94AR4TUp0YcLY2xXwSEJhp7uc6uO9ZfHIreFPtUoWz13qpMnFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:36:05.469608Z"},"content_sha256":"14f28bb9bedaa9ac66b4db5ad277fa1dea3879a72fb19ee8ca310c54795f5a30","schema_version":"1.0","event_id":"sha256:14f28bb9bedaa9ac66b4db5ad277fa1dea3879a72fb19ee8ca310c54795f5a30"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VWFH5MP2V4I4RW7ORSPJIQXG5G/bundle.json","state_url":"https://pith.science/pith/VWFH5MP2V4I4RW7ORSPJIQXG5G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VWFH5MP2V4I4RW7ORSPJIQXG5G/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T12:36:05Z","links":{"resolver":"https://pith.science/pith/VWFH5MP2V4I4RW7ORSPJIQXG5G","bundle":"https://pith.science/pith/VWFH5MP2V4I4RW7ORSPJIQXG5G/bundle.json","state":"https://pith.science/pith/VWFH5MP2V4I4RW7ORSPJIQXG5G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VWFH5MP2V4I4RW7ORSPJIQXG5G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VWFH5MP2V4I4RW7ORSPJIQXG5G","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":"5b56c262321049e52e449b6a18f89594c70c974e2873d80047dfee55fd9cc810","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-16T11:56:40Z","title_canon_sha256":"a866556f9de4498334bed8ed26bf9cc34f4b690519a67f6b36f6abb713e1059d"},"schema_version":"1.0","source":{"id":"1310.4339","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4339","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4339v1","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4339","created_at":"2026-05-18T03:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"VWFH5MP2V4I4","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VWFH5MP2V4I4RW7O","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VWFH5MP2","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:14f28bb9bedaa9ac66b4db5ad277fa1dea3879a72fb19ee8ca310c54795f5a30","target":"graph","created_at":"2026-05-18T03:10:23Z","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":"Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity. The results are applied to reaction-diffusion problems, including Maxwell-Stefan diffusion, and to geometric evolution equations like the surface-diffusion flow or the Willmore flow. The method presented here will be applicable to other parabolic systems, including free boundary problems.","authors_text":"Jan Pruess, Jeremy LeCrone, Mathias Wilke","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-16T11:56:40Z","title":"On quasilinear parabolic evolution equations in weighted Lp-spaces II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4339","kind":"arxiv","version":1},"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":"sha256:8888a1d7c9476b5562dd687acd2517a24188850ddc3f787ef9852d92b5fbd67d","target":"record","created_at":"2026-05-18T03:10:23Z","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":"5b56c262321049e52e449b6a18f89594c70c974e2873d80047dfee55fd9cc810","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-16T11:56:40Z","title_canon_sha256":"a866556f9de4498334bed8ed26bf9cc34f4b690519a67f6b36f6abb713e1059d"},"schema_version":"1.0","source":{"id":"1310.4339","kind":"arxiv","version":1}},"canonical_sha256":"ad8a7eb1faaf11c8dbee8c9e9442e6e9839fe10ea77f2f4be8becd11249636f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad8a7eb1faaf11c8dbee8c9e9442e6e9839fe10ea77f2f4be8becd11249636f7","first_computed_at":"2026-05-18T03:10:23.128050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:23.128050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"menECw4b9vHZMZsswJHECI38p6T7YHMXn9wFoXJMT59UMdWJjw6qXCqiXZN/ePil7KZGF+jqtRs4U7X/QN6qCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:23.128882Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4339","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8888a1d7c9476b5562dd687acd2517a24188850ddc3f787ef9852d92b5fbd67d","sha256:14f28bb9bedaa9ac66b4db5ad277fa1dea3879a72fb19ee8ca310c54795f5a30"],"state_sha256":"8957638764977d268dc50c019d9536989a3d31dfc672a6746917bbf5a24e9978"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZKdQNr59Sskm/q29eqbaW4TypFGPWG4nORak/sq5gq43CbXs6iTYe0pczz4ztCjJmAxmhhc9iVx4QFTqx06vCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:36:05.473020Z","bundle_sha256":"5f839d6f3ff350aa96a77b29a45c039e8be9f489b1477d86e4a21131e8e747ce"}}