{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:UKQC26NFAGS57UXFQ4VCY6OMSW","short_pith_number":"pith:UKQC26NF","canonical_record":{"source":{"id":"0908.4402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-08-30T16:51:38Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"4a2a2b09570720c52403e5f3f8bac6bcf30079212057d1bb4a4d6fdcdd8b34fa","abstract_canon_sha256":"2d568b529b9e212d3c9872529b96ad87d87da988791d1f769b1989e800521bf9"},"schema_version":"1.0"},"canonical_sha256":"a2a02d79a501a5dfd2e5872a2c79cc95a985119df6eea4acb7ef99a012f70cfe","source":{"kind":"arxiv","id":"0908.4402","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4402","created_at":"2026-06-03T23:06:28Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4402v1","created_at":"2026-06-03T23:06:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4402","created_at":"2026-06-03T23:06:28Z"},{"alias_kind":"pith_short_12","alias_value":"UKQC26NFAGS5","created_at":"2026-06-03T23:06:28Z"},{"alias_kind":"pith_short_16","alias_value":"UKQC26NFAGS57UXF","created_at":"2026-06-03T23:06:28Z"},{"alias_kind":"pith_short_8","alias_value":"UKQC26NF","created_at":"2026-06-03T23:06:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:UKQC26NFAGS57UXFQ4VCY6OMSW","target":"record","payload":{"canonical_record":{"source":{"id":"0908.4402","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-08-30T16:51:38Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"4a2a2b09570720c52403e5f3f8bac6bcf30079212057d1bb4a4d6fdcdd8b34fa","abstract_canon_sha256":"2d568b529b9e212d3c9872529b96ad87d87da988791d1f769b1989e800521bf9"},"schema_version":"1.0"},"canonical_sha256":"a2a02d79a501a5dfd2e5872a2c79cc95a985119df6eea4acb7ef99a012f70cfe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T23:06:28.446361Z","signature_b64":"YWHmG2aHp5SSBjrTqJeYEV0lh8or0N9H46fjBOkRW5knK92gDMrIBpV2MepD8LM9Ra5BAsDhl5UVWoVXibQrDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2a02d79a501a5dfd2e5872a2c79cc95a985119df6eea4acb7ef99a012f70cfe","last_reissued_at":"2026-06-03T23:06:28.445947Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T23:06:28.445947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.4402","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":"2026-06-03T23:06:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+SQwknqVqFztMLDjekp4LxYAwPkORYu9oluv0NLkAUDVfAlP1x+BHGumB1gp+CPBc6sMfNx+nC2CYn8H3KQaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:11:22.669280Z"},"content_sha256":"2f1d9c49dbf0f2d0ea18fa369285eff402e9e7f5c75642c1dcbcb2419e8fa9bd","schema_version":"1.0","event_id":"sha256:2f1d9c49dbf0f2d0ea18fa369285eff402e9e7f5c75642c1dcbcb2419e8fa9bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:UKQC26NFAGS57UXFQ4VCY6OMSW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive mesh reconstruction: Total Variation Bound","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Nikolaos Sfakianakis","submitted_at":"2009-08-30T16:51:38Z","abstract_excerpt":"We consider 3-point numerical schemes for scalar Conservation Laws, that are oscillatory either to their dispersive or anti-diffusive nature. Oscillations are responsible for the increase of the Total Variation (TV); a bound on which is crucial for the stability of the numerical scheme. It has been noticed (\\cite{Arvanitis.2001}, \\cite{Arvanitis.2004}, \\cite{Sfakianakis.2008}) that the use of non-uniform adaptively redefined meshes, that take into account the geometry of the numerical solution itself, is capable of taming oscillations; hence improving the stability properties of the numerical "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4402","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0908.4402/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-03T23:06:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jKHAkFisCDVtF8MjCa8YNv6q/EA3FvfNriLnM4HTGnaNNLwnlt5WL9l/h3/h+QEPILE8itLVnvOYHjFv6QdqCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T01:11:22.669655Z"},"content_sha256":"ed7a76855f53539df6ce6944541800f76794f64306f22ae6cf14075a454a59ae","schema_version":"1.0","event_id":"sha256:ed7a76855f53539df6ce6944541800f76794f64306f22ae6cf14075a454a59ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UKQC26NFAGS57UXFQ4VCY6OMSW/bundle.json","state_url":"https://pith.science/pith/UKQC26NFAGS57UXFQ4VCY6OMSW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UKQC26NFAGS57UXFQ4VCY6OMSW/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":"2026-06-26T01:11:22Z","links":{"resolver":"https://pith.science/pith/UKQC26NFAGS57UXFQ4VCY6OMSW","bundle":"https://pith.science/pith/UKQC26NFAGS57UXFQ4VCY6OMSW/bundle.json","state":"https://pith.science/pith/UKQC26NFAGS57UXFQ4VCY6OMSW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UKQC26NFAGS57UXFQ4VCY6OMSW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:UKQC26NFAGS57UXFQ4VCY6OMSW","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":"2d568b529b9e212d3c9872529b96ad87d87da988791d1f769b1989e800521bf9","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-08-30T16:51:38Z","title_canon_sha256":"4a2a2b09570720c52403e5f3f8bac6bcf30079212057d1bb4a4d6fdcdd8b34fa"},"schema_version":"1.0","source":{"id":"0908.4402","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.4402","created_at":"2026-06-03T23:06:28Z"},{"alias_kind":"arxiv_version","alias_value":"0908.4402v1","created_at":"2026-06-03T23:06:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4402","created_at":"2026-06-03T23:06:28Z"},{"alias_kind":"pith_short_12","alias_value":"UKQC26NFAGS5","created_at":"2026-06-03T23:06:28Z"},{"alias_kind":"pith_short_16","alias_value":"UKQC26NFAGS57UXF","created_at":"2026-06-03T23:06:28Z"},{"alias_kind":"pith_short_8","alias_value":"UKQC26NF","created_at":"2026-06-03T23:06:28Z"}],"graph_snapshots":[{"event_id":"sha256:ed7a76855f53539df6ce6944541800f76794f64306f22ae6cf14075a454a59ae","target":"graph","created_at":"2026-06-03T23:06:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0908.4402/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider 3-point numerical schemes for scalar Conservation Laws, that are oscillatory either to their dispersive or anti-diffusive nature. Oscillations are responsible for the increase of the Total Variation (TV); a bound on which is crucial for the stability of the numerical scheme. It has been noticed (\\cite{Arvanitis.2001}, \\cite{Arvanitis.2004}, \\cite{Sfakianakis.2008}) that the use of non-uniform adaptively redefined meshes, that take into account the geometry of the numerical solution itself, is capable of taming oscillations; hence improving the stability properties of the numerical ","authors_text":"Nikolaos Sfakianakis","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-08-30T16:51:38Z","title":"Adaptive mesh reconstruction: Total Variation Bound"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4402","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":"sha256:2f1d9c49dbf0f2d0ea18fa369285eff402e9e7f5c75642c1dcbcb2419e8fa9bd","target":"record","created_at":"2026-06-03T23:06:28Z","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":"2d568b529b9e212d3c9872529b96ad87d87da988791d1f769b1989e800521bf9","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-08-30T16:51:38Z","title_canon_sha256":"4a2a2b09570720c52403e5f3f8bac6bcf30079212057d1bb4a4d6fdcdd8b34fa"},"schema_version":"1.0","source":{"id":"0908.4402","kind":"arxiv","version":1}},"canonical_sha256":"a2a02d79a501a5dfd2e5872a2c79cc95a985119df6eea4acb7ef99a012f70cfe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2a02d79a501a5dfd2e5872a2c79cc95a985119df6eea4acb7ef99a012f70cfe","first_computed_at":"2026-06-03T23:06:28.445947Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:28.445947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YWHmG2aHp5SSBjrTqJeYEV0lh8or0N9H46fjBOkRW5knK92gDMrIBpV2MepD8LM9Ra5BAsDhl5UVWoVXibQrDA==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:28.446361Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.4402","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f1d9c49dbf0f2d0ea18fa369285eff402e9e7f5c75642c1dcbcb2419e8fa9bd","sha256:ed7a76855f53539df6ce6944541800f76794f64306f22ae6cf14075a454a59ae"],"state_sha256":"e99963c4018fb7554f16cefa0cae6cc52dcf5524bb23ef5f745326084aead494"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a12GJT9/5alMoQahZQIpFNoimwfzo2/6sstY8loLUUbpUVXWUNS0mMQfzoM0Xgkec0Zu7ypgkosv1Do1Wx/fDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T01:11:22.671580Z","bundle_sha256":"43b85cee7d830f3f2e211c66ccc21239b2a9e7284edc848825a979770d7b28b2"}}