{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XPZDGNBUX7UZU4YWEYY5XDNTAR","short_pith_number":"pith:XPZDGNBU","canonical_record":{"source":{"id":"1606.08040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-26T13:55:25Z","cross_cats_sorted":["astro-ph.IM","cs.CE"],"title_canon_sha256":"22d32c9e6479396dff9aaf2306a681ca740074c59a96204544ac25b0d3caab90","abstract_canon_sha256":"1a2d7908246a468dd71bc775a8c5597f95208e2f485717bed8245d00851beeb9"},"schema_version":"1.0"},"canonical_sha256":"bbf2333434bfe99a73162631db8db30475fd0fc6b527cbf15fc3252030a45744","source":{"kind":"arxiv","id":"1606.08040","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08040","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08040v1","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08040","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"pith_short_12","alias_value":"XPZDGNBUX7UZ","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XPZDGNBUX7UZU4YW","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XPZDGNBU","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XPZDGNBUX7UZU4YWEYY5XDNTAR","target":"record","payload":{"canonical_record":{"source":{"id":"1606.08040","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-26T13:55:25Z","cross_cats_sorted":["astro-ph.IM","cs.CE"],"title_canon_sha256":"22d32c9e6479396dff9aaf2306a681ca740074c59a96204544ac25b0d3caab90","abstract_canon_sha256":"1a2d7908246a468dd71bc775a8c5597f95208e2f485717bed8245d00851beeb9"},"schema_version":"1.0"},"canonical_sha256":"bbf2333434bfe99a73162631db8db30475fd0fc6b527cbf15fc3252030a45744","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:27.826892Z","signature_b64":"N9DcMVEMmXoSMBb4D4cDB3hH6ccDVPiAECHY6DOpy6ZxaZ1fB8jX+5eY81o3AaXWuSd5/tfN0kAZC04R2oFYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbf2333434bfe99a73162631db8db30475fd0fc6b527cbf15fc3252030a45744","last_reissued_at":"2026-05-18T00:33:27.826194Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:27.826194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.08040","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":"2026-05-18T00:33:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GyKtvS7Zg8GwFb/wpOUXF5J735mjeE7kSnMX7zPBe2/VR5ZifS3WgIQnjcwEKExipa64rrw0COP26NyCrtwDDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:58:40.222308Z"},"content_sha256":"316b87d28f20edcdcd8ddc10cba0fb3e1a6c1b28593eb2082012aadff68cce9f","schema_version":"1.0","event_id":"sha256:316b87d28f20edcdcd8ddc10cba0fb3e1a6c1b28593eb2082012aadff68cce9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XPZDGNBUX7UZU4YWEYY5XDNTAR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hybrid Riemann Solvers for Large Systems of Conservation Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM","cs.CE"],"primary_cat":"math.NA","authors_text":"Birte Schmidtmann, Manuel Torrilhon, Mariia Astrakhantceva","submitted_at":"2016-06-26T13:55:25Z","abstract_excerpt":"In this paper we present a new family of approximate Riemann solvers for the numerical approximation of solutions of hyperbolic conservation laws. They are approximate, also referred to as incomplete, in the sense that the solvers avoid computing the characteristic decomposition of the flux Jacobian. Instead, they require only an estimate of the globally fastest wave speeds in both directions. Thus, this family of solvers is particularly efficient for large systems of conservation laws, i.e. with many different propagation speeds, and when no explicit expression for the eigensystem is availabl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08040","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":"2026-05-18T00:33:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RrdySNUQ9fg8lYdvygFwK7xhn1DZDhC/mgfenfxC5fnYDxoDpTBakMtwL3oREuVggzw3j2vd/g/jLMdZmeutDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:58:40.222753Z"},"content_sha256":"d559dd187234b1a59578a3bbf620cbb6b5fbac2d59b66d65aa9c7ab8e7cde641","schema_version":"1.0","event_id":"sha256:d559dd187234b1a59578a3bbf620cbb6b5fbac2d59b66d65aa9c7ab8e7cde641"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XPZDGNBUX7UZU4YWEYY5XDNTAR/bundle.json","state_url":"https://pith.science/pith/XPZDGNBUX7UZU4YWEYY5XDNTAR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XPZDGNBUX7UZU4YWEYY5XDNTAR/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":"2026-06-23T18:58:40Z","links":{"resolver":"https://pith.science/pith/XPZDGNBUX7UZU4YWEYY5XDNTAR","bundle":"https://pith.science/pith/XPZDGNBUX7UZU4YWEYY5XDNTAR/bundle.json","state":"https://pith.science/pith/XPZDGNBUX7UZU4YWEYY5XDNTAR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XPZDGNBUX7UZU4YWEYY5XDNTAR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XPZDGNBUX7UZU4YWEYY5XDNTAR","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":"1a2d7908246a468dd71bc775a8c5597f95208e2f485717bed8245d00851beeb9","cross_cats_sorted":["astro-ph.IM","cs.CE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-26T13:55:25Z","title_canon_sha256":"22d32c9e6479396dff9aaf2306a681ca740074c59a96204544ac25b0d3caab90"},"schema_version":"1.0","source":{"id":"1606.08040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08040","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08040v1","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08040","created_at":"2026-05-18T00:33:27Z"},{"alias_kind":"pith_short_12","alias_value":"XPZDGNBUX7UZ","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XPZDGNBUX7UZU4YW","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XPZDGNBU","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:d559dd187234b1a59578a3bbf620cbb6b5fbac2d59b66d65aa9c7ab8e7cde641","target":"graph","created_at":"2026-05-18T00:33:27Z","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 present a new family of approximate Riemann solvers for the numerical approximation of solutions of hyperbolic conservation laws. They are approximate, also referred to as incomplete, in the sense that the solvers avoid computing the characteristic decomposition of the flux Jacobian. Instead, they require only an estimate of the globally fastest wave speeds in both directions. Thus, this family of solvers is particularly efficient for large systems of conservation laws, i.e. with many different propagation speeds, and when no explicit expression for the eigensystem is availabl","authors_text":"Birte Schmidtmann, Manuel Torrilhon, Mariia Astrakhantceva","cross_cats":["astro-ph.IM","cs.CE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-26T13:55:25Z","title":"Hybrid Riemann Solvers for Large Systems of Conservation Laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08040","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":"sha256:316b87d28f20edcdcd8ddc10cba0fb3e1a6c1b28593eb2082012aadff68cce9f","target":"record","created_at":"2026-05-18T00:33:27Z","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":"1a2d7908246a468dd71bc775a8c5597f95208e2f485717bed8245d00851beeb9","cross_cats_sorted":["astro-ph.IM","cs.CE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-26T13:55:25Z","title_canon_sha256":"22d32c9e6479396dff9aaf2306a681ca740074c59a96204544ac25b0d3caab90"},"schema_version":"1.0","source":{"id":"1606.08040","kind":"arxiv","version":1}},"canonical_sha256":"bbf2333434bfe99a73162631db8db30475fd0fc6b527cbf15fc3252030a45744","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbf2333434bfe99a73162631db8db30475fd0fc6b527cbf15fc3252030a45744","first_computed_at":"2026-05-18T00:33:27.826194Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:27.826194Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N9DcMVEMmXoSMBb4D4cDB3hH6ccDVPiAECHY6DOpy6ZxaZ1fB8jX+5eY81o3AaXWuSd5/tfN0kAZC04R2oFYAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:27.826892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.08040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:316b87d28f20edcdcd8ddc10cba0fb3e1a6c1b28593eb2082012aadff68cce9f","sha256:d559dd187234b1a59578a3bbf620cbb6b5fbac2d59b66d65aa9c7ab8e7cde641"],"state_sha256":"bc3fb7c83cc923ac704e5cacc404d58198b17ba338179af6456cdedcc50826b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NoMAugpRgi+hlw2omnrLCkcA//CICqWJlLGRnajAY1jvYl7wIBXY3oYj9DkcFLl9epU7rd99TkFkBHEeCSvvDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T18:58:40.225324Z","bundle_sha256":"7e1468a58a0afe7baa5519d346e21d24b4067f85b060cc488047a145499afb09"}}