{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:WPW73PA63WOZNUELJ52UZ5A6MR","short_pith_number":"pith:WPW73PA6","canonical_record":{"source":{"id":"0901.0298","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-01-03T00:33:00Z","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"title_canon_sha256":"872f35957ba9079bef622e0f5a84aba52f87d474c2c7b1147f88b804876d2ef5","abstract_canon_sha256":"93b45203f38451eac4f469c472447f00db06b279020cc53668773e0596820a94"},"schema_version":"1.0"},"canonical_sha256":"b3edfdbc1edd9d96d08b4f754cf41e644619c872f274d2123e4ea65c5d9521c0","source":{"kind":"arxiv","id":"0901.0298","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.0298","created_at":"2026-06-03T23:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"0901.0298v2","created_at":"2026-06-03T23:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0298","created_at":"2026-06-03T23:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"WPW73PA63WOZ","created_at":"2026-06-03T23:06:10Z"},{"alias_kind":"pith_short_16","alias_value":"WPW73PA63WOZNUEL","created_at":"2026-06-03T23:06:10Z"},{"alias_kind":"pith_short_8","alias_value":"WPW73PA6","created_at":"2026-06-03T23:06:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:WPW73PA63WOZNUELJ52UZ5A6MR","target":"record","payload":{"canonical_record":{"source":{"id":"0901.0298","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-01-03T00:33:00Z","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"title_canon_sha256":"872f35957ba9079bef622e0f5a84aba52f87d474c2c7b1147f88b804876d2ef5","abstract_canon_sha256":"93b45203f38451eac4f469c472447f00db06b279020cc53668773e0596820a94"},"schema_version":"1.0"},"canonical_sha256":"b3edfdbc1edd9d96d08b4f754cf41e644619c872f274d2123e4ea65c5d9521c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T23:06:10.165281Z","signature_b64":"QnS37RnOZOoZZa334nysQEuYDTw8Bm++YMIclMRGsWiuYErITlz0QTlozxK16DbsPRFkkC2YB8VggNUnfvi8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3edfdbc1edd9d96d08b4f754cf41e644619c872f274d2123e4ea65c5d9521c0","last_reissued_at":"2026-06-03T23:06:10.164844Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T23:06:10.164844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.0298","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":"2026-06-03T23:06:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+R3XOoPVWmb3W3Twhae4jxxeJsm6sFS8gXVbTs2Bpf5jqwf063CWnsozrA0n5k2uiHS/hSoOGV1IHcMi8GKpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:48:33.109950Z"},"content_sha256":"88fcfee9309b73077b26a12ccc6eaef4be7266f919f13bcfd33824f02dacfbf2","schema_version":"1.0","event_id":"sha256:88fcfee9309b73077b26a12ccc6eaef4be7266f919f13bcfd33824f02dacfbf2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:WPW73PA63WOZNUELJ52UZ5A6MR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A rarefaction-tracking method for hyperbolic conservation laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math-ph","math.MP"],"primary_cat":"math.NA","authors_text":"Benjamin Seibold, Yossi Farjoun","submitted_at":"2009-01-03T00:33:00Z","abstract_excerpt":"We present a numerical method for scalar conservation laws in one space dimension. The solution is approximated by local similarity solutions. While many commonly used approaches are based on shocks, the presented method uses rarefaction and compression waves. The solution is represented by particles that carry function values and move according to the method of characteristics. Between two neighboring particles, an interpolation is defined by an analytical similarity solution of the conservation law. An interaction of particles represents a collision of characteristics. The resulting shock is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0298","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0901.0298/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":"2026-06-03T23:06:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RnRIW9GyDM5XiZmoi3GnHRrv6SBiEB7F3JY0CEn+hHX5BBEwDzDY43dTj52eVPG/OxGcktL5UUu4pHeQRnNpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:48:33.110336Z"},"content_sha256":"14bd1b7ef1142789322390afddef3abb9c60117afb11d8f633cc164ad9076fe8","schema_version":"1.0","event_id":"sha256:14bd1b7ef1142789322390afddef3abb9c60117afb11d8f633cc164ad9076fe8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WPW73PA63WOZNUELJ52UZ5A6MR/bundle.json","state_url":"https://pith.science/pith/WPW73PA63WOZNUELJ52UZ5A6MR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WPW73PA63WOZNUELJ52UZ5A6MR/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":"2026-06-23T15:48:33Z","links":{"resolver":"https://pith.science/pith/WPW73PA63WOZNUELJ52UZ5A6MR","bundle":"https://pith.science/pith/WPW73PA63WOZNUELJ52UZ5A6MR/bundle.json","state":"https://pith.science/pith/WPW73PA63WOZNUELJ52UZ5A6MR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WPW73PA63WOZNUELJ52UZ5A6MR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:WPW73PA63WOZNUELJ52UZ5A6MR","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":"93b45203f38451eac4f469c472447f00db06b279020cc53668773e0596820a94","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-01-03T00:33:00Z","title_canon_sha256":"872f35957ba9079bef622e0f5a84aba52f87d474c2c7b1147f88b804876d2ef5"},"schema_version":"1.0","source":{"id":"0901.0298","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.0298","created_at":"2026-06-03T23:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"0901.0298v2","created_at":"2026-06-03T23:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0298","created_at":"2026-06-03T23:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"WPW73PA63WOZ","created_at":"2026-06-03T23:06:10Z"},{"alias_kind":"pith_short_16","alias_value":"WPW73PA63WOZNUEL","created_at":"2026-06-03T23:06:10Z"},{"alias_kind":"pith_short_8","alias_value":"WPW73PA6","created_at":"2026-06-03T23:06:10Z"}],"graph_snapshots":[{"event_id":"sha256:14bd1b7ef1142789322390afddef3abb9c60117afb11d8f633cc164ad9076fe8","target":"graph","created_at":"2026-06-03T23:06:10Z","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/0901.0298/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a numerical method for scalar conservation laws in one space dimension. The solution is approximated by local similarity solutions. While many commonly used approaches are based on shocks, the presented method uses rarefaction and compression waves. The solution is represented by particles that carry function values and move according to the method of characteristics. Between two neighboring particles, an interpolation is defined by an analytical similarity solution of the conservation law. An interaction of particles represents a collision of characteristics. The resulting shock is","authors_text":"Benjamin Seibold, Yossi Farjoun","cross_cats":["cs.NA","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-01-03T00:33:00Z","title":"A rarefaction-tracking method for hyperbolic conservation laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0298","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":"sha256:88fcfee9309b73077b26a12ccc6eaef4be7266f919f13bcfd33824f02dacfbf2","target":"record","created_at":"2026-06-03T23:06:10Z","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":"93b45203f38451eac4f469c472447f00db06b279020cc53668773e0596820a94","cross_cats_sorted":["cs.NA","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2009-01-03T00:33:00Z","title_canon_sha256":"872f35957ba9079bef622e0f5a84aba52f87d474c2c7b1147f88b804876d2ef5"},"schema_version":"1.0","source":{"id":"0901.0298","kind":"arxiv","version":2}},"canonical_sha256":"b3edfdbc1edd9d96d08b4f754cf41e644619c872f274d2123e4ea65c5d9521c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3edfdbc1edd9d96d08b4f754cf41e644619c872f274d2123e4ea65c5d9521c0","first_computed_at":"2026-06-03T23:06:10.164844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:10.164844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QnS37RnOZOoZZa334nysQEuYDTw8Bm++YMIclMRGsWiuYErITlz0QTlozxK16DbsPRFkkC2YB8VggNUnfvi8Dw==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:10.165281Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.0298","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88fcfee9309b73077b26a12ccc6eaef4be7266f919f13bcfd33824f02dacfbf2","sha256:14bd1b7ef1142789322390afddef3abb9c60117afb11d8f633cc164ad9076fe8"],"state_sha256":"4ed95bd3ccb60f8d8bb6594eb6347563d7f598f91c81813a289d691f400dbcc1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/qOs/BCONpybMG838/+tFyt1hwuJqWh97zZu3Ml4UUlba38FGIf8FsUtOOME9nLOFVjGat+exLO8GNzAEkUgAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:48:33.112280Z","bundle_sha256":"dd9f80a5f27adcbf750519dfa9f96f5a62042f1326da6313f7dc316ac3456e5c"}}