{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:VGRZE4CLJ45P45LGPFXYTLKUZ5","short_pith_number":"pith:VGRZE4CL","canonical_record":{"source":{"id":"comp-gas/9501008","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"comp-gas","submitted_at":"1995-01-22T01:58:47Z","cross_cats_sorted":["nlin.CG"],"title_canon_sha256":"3375afb61bb18474d153a322563cf04229325edb17614932b8fa537f1a9660c3","abstract_canon_sha256":"b37e19e76d7bf4adbf6400c635b99cd1477da7353205159a9446283f8ff62d28"},"schema_version":"1.0"},"canonical_sha256":"a9a392704b4f3afe7566796f89ad54cf471a725aaa2a2528615a5dd518eef624","source":{"kind":"arxiv","id":"comp-gas/9501008","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"comp-gas/9501008","created_at":"2026-07-04T15:58:14Z"},{"alias_kind":"arxiv_version","alias_value":"comp-gas/9501008v2","created_at":"2026-07-04T15:58:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.comp-gas/9501008","created_at":"2026-07-04T15:58:14Z"},{"alias_kind":"pith_short_12","alias_value":"VGRZE4CLJ45P","created_at":"2026-07-04T15:58:14Z"},{"alias_kind":"pith_short_16","alias_value":"VGRZE4CLJ45P45LG","created_at":"2026-07-04T15:58:14Z"},{"alias_kind":"pith_short_8","alias_value":"VGRZE4CL","created_at":"2026-07-04T15:58:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:VGRZE4CLJ45P45LGPFXYTLKUZ5","target":"record","payload":{"canonical_record":{"source":{"id":"comp-gas/9501008","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"comp-gas","submitted_at":"1995-01-22T01:58:47Z","cross_cats_sorted":["nlin.CG"],"title_canon_sha256":"3375afb61bb18474d153a322563cf04229325edb17614932b8fa537f1a9660c3","abstract_canon_sha256":"b37e19e76d7bf4adbf6400c635b99cd1477da7353205159a9446283f8ff62d28"},"schema_version":"1.0"},"canonical_sha256":"a9a392704b4f3afe7566796f89ad54cf471a725aaa2a2528615a5dd518eef624","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:58:14.124438Z","signature_b64":"QoL+4Nb9KUpz1kiWO97LKQPfJR1hIWlx4clv98FOcd8xL85aizEEPYWDjqnJtlkH/J1tgIGlO2pwIm9u6BlyCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9a392704b4f3afe7566796f89ad54cf471a725aaa2a2528615a5dd518eef624","last_reissued_at":"2026-07-04T15:58:14.123927Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:58:14.123927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"comp-gas/9501008","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":"2026-07-04T15:58:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qYmUVPJ5HHBvwOnmPMUK7wNnNh49mwQZHYJCNk1+g/QwZ1OVlZBvET5FvU4p4OnCJHlyB4ppik7gIrkNf9cMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T21:27:57.453523Z"},"content_sha256":"a0c3f54325d24e220bae16b8f428eb1531ccdeed16ea2791ce5d7e3c7cdde81c","schema_version":"1.0","event_id":"sha256:a0c3f54325d24e220bae16b8f428eb1531ccdeed16ea2791ce5d7e3c7cdde81c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:VGRZE4CLJ45P45LGPFXYTLKUZ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shock structure in a nine-velocity gas","license":"","headline":"","cross_cats":["nlin.CG"],"primary_cat":"comp-gas","authors_text":"Balu Nadiga, Brad Sturtevant (Graduate Aeronautical Laboratories, CA), Caltech, Pasadena","submitted_at":"1995-01-22T01:58:47Z","abstract_excerpt":"The exact structure of a shock is computed in a multiple-speed discrete-velocity gas, the nine-velocity gas, wherein the multiplicity of speeds ensures nontrivial thermodynamics. Obtained as a solution of the model Boltzmann equations, the procedure consists of tracking the shock as a trajectory of a three dimensional dynamical system connecting an equilibrium upstream state to an equilibrium downstream state. The two equilibria satisfy the jump conditions obtained from the model Euler equations. Comparison of the shock structure to that in a monatomic perfect gas, as given by the Navier-Stoke"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"comp-gas/9501008","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/comp-gas/9501008/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":"2026-07-04T15:58:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nx9JNc8hRvUT5cSHGQMYCbb3zeW5gTEWWPgqnLBZNgxQ90c28VFQoVL1odoEXISedcp7HLRGZtB4V6sr0JgMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T21:27:57.454097Z"},"content_sha256":"66b2c6d3b8d9b5caccd2fd31f06b2174a81b84ec8f6d3153555c767a280f1892","schema_version":"1.0","event_id":"sha256:66b2c6d3b8d9b5caccd2fd31f06b2174a81b84ec8f6d3153555c767a280f1892"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VGRZE4CLJ45P45LGPFXYTLKUZ5/bundle.json","state_url":"https://pith.science/pith/VGRZE4CLJ45P45LGPFXYTLKUZ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VGRZE4CLJ45P45LGPFXYTLKUZ5/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":"2026-08-22T21:27:57Z","links":{"resolver":"https://pith.science/pith/VGRZE4CLJ45P45LGPFXYTLKUZ5","bundle":"https://pith.science/pith/VGRZE4CLJ45P45LGPFXYTLKUZ5/bundle.json","state":"https://pith.science/pith/VGRZE4CLJ45P45LGPFXYTLKUZ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VGRZE4CLJ45P45LGPFXYTLKUZ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:VGRZE4CLJ45P45LGPFXYTLKUZ5","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":"b37e19e76d7bf4adbf6400c635b99cd1477da7353205159a9446283f8ff62d28","cross_cats_sorted":["nlin.CG"],"license":"","primary_cat":"comp-gas","submitted_at":"1995-01-22T01:58:47Z","title_canon_sha256":"3375afb61bb18474d153a322563cf04229325edb17614932b8fa537f1a9660c3"},"schema_version":"1.0","source":{"id":"comp-gas/9501008","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"comp-gas/9501008","created_at":"2026-07-04T15:58:14Z"},{"alias_kind":"arxiv_version","alias_value":"comp-gas/9501008v2","created_at":"2026-07-04T15:58:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.comp-gas/9501008","created_at":"2026-07-04T15:58:14Z"},{"alias_kind":"pith_short_12","alias_value":"VGRZE4CLJ45P","created_at":"2026-07-04T15:58:14Z"},{"alias_kind":"pith_short_16","alias_value":"VGRZE4CLJ45P45LG","created_at":"2026-07-04T15:58:14Z"},{"alias_kind":"pith_short_8","alias_value":"VGRZE4CL","created_at":"2026-07-04T15:58:14Z"}],"graph_snapshots":[{"event_id":"sha256:66b2c6d3b8d9b5caccd2fd31f06b2174a81b84ec8f6d3153555c767a280f1892","target":"graph","created_at":"2026-07-04T15:58:14Z","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/comp-gas/9501008/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The exact structure of a shock is computed in a multiple-speed discrete-velocity gas, the nine-velocity gas, wherein the multiplicity of speeds ensures nontrivial thermodynamics. Obtained as a solution of the model Boltzmann equations, the procedure consists of tracking the shock as a trajectory of a three dimensional dynamical system connecting an equilibrium upstream state to an equilibrium downstream state. The two equilibria satisfy the jump conditions obtained from the model Euler equations. Comparison of the shock structure to that in a monatomic perfect gas, as given by the Navier-Stoke","authors_text":"Balu Nadiga, Brad Sturtevant (Graduate Aeronautical Laboratories, CA), Caltech, Pasadena","cross_cats":["nlin.CG"],"headline":"","license":"","primary_cat":"comp-gas","submitted_at":"1995-01-22T01:58:47Z","title":"Shock structure in a nine-velocity gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"comp-gas/9501008","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:a0c3f54325d24e220bae16b8f428eb1531ccdeed16ea2791ce5d7e3c7cdde81c","target":"record","created_at":"2026-07-04T15:58:14Z","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":"b37e19e76d7bf4adbf6400c635b99cd1477da7353205159a9446283f8ff62d28","cross_cats_sorted":["nlin.CG"],"license":"","primary_cat":"comp-gas","submitted_at":"1995-01-22T01:58:47Z","title_canon_sha256":"3375afb61bb18474d153a322563cf04229325edb17614932b8fa537f1a9660c3"},"schema_version":"1.0","source":{"id":"comp-gas/9501008","kind":"arxiv","version":2}},"canonical_sha256":"a9a392704b4f3afe7566796f89ad54cf471a725aaa2a2528615a5dd518eef624","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9a392704b4f3afe7566796f89ad54cf471a725aaa2a2528615a5dd518eef624","first_computed_at":"2026-07-04T15:58:14.123927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:58:14.123927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QoL+4Nb9KUpz1kiWO97LKQPfJR1hIWlx4clv98FOcd8xL85aizEEPYWDjqnJtlkH/J1tgIGlO2pwIm9u6BlyCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:58:14.124438Z","signed_message":"canonical_sha256_bytes"},"source_id":"comp-gas/9501008","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0c3f54325d24e220bae16b8f428eb1531ccdeed16ea2791ce5d7e3c7cdde81c","sha256:66b2c6d3b8d9b5caccd2fd31f06b2174a81b84ec8f6d3153555c767a280f1892"],"state_sha256":"3749451e44f7766b1c27189808e97cd881c6a736ce08aa098f13555d8e9179ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fmy+HUMTF79m9HfhvwaJpaCoz6gxzcn8AFE7eNKUVCe/m7biTc9kG6lf4ZzPnqIrazVPlhyP58pVIDIWP+aXBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T21:27:57.457800Z","bundle_sha256":"cae998f1e155943e635140cb19f783cbba84b034dabea0ab59da47b1ecaaacb3"}}