{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:UG5YTGWYVJK6A7MQVJPMWFC5MC","short_pith_number":"pith:UG5YTGWY","canonical_record":{"source":{"id":"0807.0400","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2008-07-02T16:54:05Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"07c62a102e45ae68db23aad00427501b9c529f14f22b79527f6f009796cfcca7","abstract_canon_sha256":"a9470e0552a0f08f87e02a2081b5cc1bfa0fed460874f247b4b52a90a8e4b75e"},"schema_version":"1.0"},"canonical_sha256":"a1bb899ad8aa55e07d90aa5ecb145d60a45a72bd2987b83d16466c795a2cfe1d","source":{"kind":"arxiv","id":"0807.0400","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.0400","created_at":"2026-05-18T03:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"0807.0400v2","created_at":"2026-05-18T03:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.0400","created_at":"2026-05-18T03:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"UG5YTGWYVJK6","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"UG5YTGWYVJK6A7MQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"UG5YTGWY","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:UG5YTGWYVJK6A7MQVJPMWFC5MC","target":"record","payload":{"canonical_record":{"source":{"id":"0807.0400","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2008-07-02T16:54:05Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"07c62a102e45ae68db23aad00427501b9c529f14f22b79527f6f009796cfcca7","abstract_canon_sha256":"a9470e0552a0f08f87e02a2081b5cc1bfa0fed460874f247b4b52a90a8e4b75e"},"schema_version":"1.0"},"canonical_sha256":"a1bb899ad8aa55e07d90aa5ecb145d60a45a72bd2987b83d16466c795a2cfe1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:53:03.596086Z","signature_b64":"G6ipD2yd4srKy9l1z+WGvOnS+udHxzONNmy5J0CKe+YT6qJF+cl/ZxOT+52KJXO6jKHem+Bz07SIo1b6QX4UBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1bb899ad8aa55e07d90aa5ecb145d60a45a72bd2987b83d16466c795a2cfe1d","last_reissued_at":"2026-05-18T03:53:03.595390Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:53:03.595390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0807.0400","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nZNiJb0xxOdT5S7FXqNvmYdGknv0W09Xw0gp0WaiMdWLplDUjXlozIcmUh+/URob9EVZq/uxpbWn5yoENnZ8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:04:58.748230Z"},"content_sha256":"dfc6e77820d16270e257dbb6fa4f87b0328019537791a43b75b774dffd291a36","schema_version":"1.0","event_id":"sha256:dfc6e77820d16270e257dbb6fa4f87b0328019537791a43b75b774dffd291a36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:UG5YTGWYVJK6A7MQVJPMWFC5MC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"Kai Schneider, Mauricio Sep\\'ulveda, Raimund B\\\"urger, Ricardo Ruiz Baier","submitted_at":"2008-07-02T16:54:05Z","abstract_excerpt":"We present a fully adaptive multiresolution scheme for spatially one-dimensional quasilinear strongly degenerate parabolic equations with zero-flux and periodic boundary conditions. The numerical scheme is based on a finite volume discretization using the Engquist-Osher numerical flux and explicit time stepping. An adaptive multiresolution scheme based on cell averages is then used to speed up the CPU time and the memory requirements of the underlying finite volume scheme, whose first-order version is known to converge to an entropy solution of the problem. A particular feature of the method i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.0400","kind":"arxiv","version":2},"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":"2026-05-18T03:53:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KvxpgMcNZGnp2QMcaGVxJlRb/MinV4osng2uXlqYUAFzjbrbueklnwG33oghSixfOaPAXogIxN/8Oq5BOG/NAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:04:58.748901Z"},"content_sha256":"f5fb3e5d2c520d72c7a31fdcf8045b8a73b970bab65a2a555e9662de6ef50347","schema_version":"1.0","event_id":"sha256:f5fb3e5d2c520d72c7a31fdcf8045b8a73b970bab65a2a555e9662de6ef50347"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UG5YTGWYVJK6A7MQVJPMWFC5MC/bundle.json","state_url":"https://pith.science/pith/UG5YTGWYVJK6A7MQVJPMWFC5MC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UG5YTGWYVJK6A7MQVJPMWFC5MC/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":"2026-05-27T18:04:58Z","links":{"resolver":"https://pith.science/pith/UG5YTGWYVJK6A7MQVJPMWFC5MC","bundle":"https://pith.science/pith/UG5YTGWYVJK6A7MQVJPMWFC5MC/bundle.json","state":"https://pith.science/pith/UG5YTGWYVJK6A7MQVJPMWFC5MC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UG5YTGWYVJK6A7MQVJPMWFC5MC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:UG5YTGWYVJK6A7MQVJPMWFC5MC","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":"a9470e0552a0f08f87e02a2081b5cc1bfa0fed460874f247b4b52a90a8e4b75e","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2008-07-02T16:54:05Z","title_canon_sha256":"07c62a102e45ae68db23aad00427501b9c529f14f22b79527f6f009796cfcca7"},"schema_version":"1.0","source":{"id":"0807.0400","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.0400","created_at":"2026-05-18T03:53:03Z"},{"alias_kind":"arxiv_version","alias_value":"0807.0400v2","created_at":"2026-05-18T03:53:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.0400","created_at":"2026-05-18T03:53:03Z"},{"alias_kind":"pith_short_12","alias_value":"UG5YTGWYVJK6","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"UG5YTGWYVJK6A7MQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"UG5YTGWY","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:f5fb3e5d2c520d72c7a31fdcf8045b8a73b970bab65a2a555e9662de6ef50347","target":"graph","created_at":"2026-05-18T03:53:03Z","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":"We present a fully adaptive multiresolution scheme for spatially one-dimensional quasilinear strongly degenerate parabolic equations with zero-flux and periodic boundary conditions. The numerical scheme is based on a finite volume discretization using the Engquist-Osher numerical flux and explicit time stepping. An adaptive multiresolution scheme based on cell averages is then used to speed up the CPU time and the memory requirements of the underlying finite volume scheme, whose first-order version is known to converge to an entropy solution of the problem. A particular feature of the method i","authors_text":"Kai Schneider, Mauricio Sep\\'ulveda, Raimund B\\\"urger, Ricardo Ruiz Baier","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2008-07-02T16:54:05Z","title":"Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.0400","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:dfc6e77820d16270e257dbb6fa4f87b0328019537791a43b75b774dffd291a36","target":"record","created_at":"2026-05-18T03:53:03Z","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":"a9470e0552a0f08f87e02a2081b5cc1bfa0fed460874f247b4b52a90a8e4b75e","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2008-07-02T16:54:05Z","title_canon_sha256":"07c62a102e45ae68db23aad00427501b9c529f14f22b79527f6f009796cfcca7"},"schema_version":"1.0","source":{"id":"0807.0400","kind":"arxiv","version":2}},"canonical_sha256":"a1bb899ad8aa55e07d90aa5ecb145d60a45a72bd2987b83d16466c795a2cfe1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1bb899ad8aa55e07d90aa5ecb145d60a45a72bd2987b83d16466c795a2cfe1d","first_computed_at":"2026-05-18T03:53:03.595390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:03.595390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G6ipD2yd4srKy9l1z+WGvOnS+udHxzONNmy5J0CKe+YT6qJF+cl/ZxOT+52KJXO6jKHem+Bz07SIo1b6QX4UBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:03.596086Z","signed_message":"canonical_sha256_bytes"},"source_id":"0807.0400","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfc6e77820d16270e257dbb6fa4f87b0328019537791a43b75b774dffd291a36","sha256:f5fb3e5d2c520d72c7a31fdcf8045b8a73b970bab65a2a555e9662de6ef50347"],"state_sha256":"50473986ea7719a5dd19645c1e74b2d1248c97b768fd5087f2b70cf6db5b8b34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vy3Y4gORpgk5GEE+xIUM3szvKCM9ldCfeg+0galP5bVyno7uMXOrEjk4WmTEhHus4fL84mnjQc2mOzvZ7jzJBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:04:58.752112Z","bundle_sha256":"39b1914498c63321cc47a325472078a033ebbea3176c13b79271cea75f13216f"}}