{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QNV5VP7RSUKB2RC32HIXMYEMHS","short_pith_number":"pith:QNV5VP7R","canonical_record":{"source":{"id":"1603.08126","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-26T17:45:36Z","cross_cats_sorted":[],"title_canon_sha256":"6f4e7b2cf5fd5bedf3cf8a46e18b8691f9722c1a4e9f6f0845c2dd7e2a0d7226","abstract_canon_sha256":"9e8bff05c29ed8f5863d92a5b5e02a81c55a55b5294b5f3421593560ec9a153f"},"schema_version":"1.0"},"canonical_sha256":"836bdabff195141d445bd1d176608c3c8152a191641cab6272910606351b9038","source":{"kind":"arxiv","id":"1603.08126","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08126","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08126v1","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08126","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"QNV5VP7RSUKB","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QNV5VP7RSUKB2RC3","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QNV5VP7R","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QNV5VP7RSUKB2RC32HIXMYEMHS","target":"record","payload":{"canonical_record":{"source":{"id":"1603.08126","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-26T17:45:36Z","cross_cats_sorted":[],"title_canon_sha256":"6f4e7b2cf5fd5bedf3cf8a46e18b8691f9722c1a4e9f6f0845c2dd7e2a0d7226","abstract_canon_sha256":"9e8bff05c29ed8f5863d92a5b5e02a81c55a55b5294b5f3421593560ec9a153f"},"schema_version":"1.0"},"canonical_sha256":"836bdabff195141d445bd1d176608c3c8152a191641cab6272910606351b9038","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:13.179956Z","signature_b64":"CgvP7VUEJNBx5NxhiJl/JjJXLeySw3msCrz8DUc5BjukDzt8HjBMAkoFNgiLGiCMCTpMxK1vCazt/qiWW5MIDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"836bdabff195141d445bd1d176608c3c8152a191641cab6272910606351b9038","last_reissued_at":"2026-05-18T01:18:13.179455Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:13.179455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.08126","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":"2026-05-18T01:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G2GvQLqpGsB5liW1gkJOdZSwQJft+XALEqyNNmc41jwR2B1EuUntUpXkEORIzJ3k8jqPVCzXYic2R8uS9XiqDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T22:37:00.840043Z"},"content_sha256":"440ab1c82ed92983d70366544300f53ff4f0e07c04819209904f4e0628e5a03e","schema_version":"1.0","event_id":"sha256:440ab1c82ed92983d70366544300f53ff4f0e07c04819209904f4e0628e5a03e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QNV5VP7RSUKB2RC32HIXMYEMHS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A remark on the Glimm scheme for inhomogeneous hyperbolic systems of balance laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Cleopatra Christoforou","submitted_at":"2016-03-26T17:45:36Z","abstract_excerpt":"General hyperbolic systems of balance laws with inhomogeneous flux and source are studied. Global existence of entropy weak solutions to the Cauchy problem is established for small $BV$ data under appropriate assumptions on the decay of the flux and the source with respect to space and time. There is neither a hypothesis about equilibrium solution nor about the dependence of the source on the state vector as previous results have assumed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08126","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":"2026-05-18T01:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N+czE0s5TQ716wmLiV+iY1w0S2z2Cr0MrY9AhtojZWCxykEs101RyjhVSLtXRHJym0ydiNpECpqZFHfE7WnhBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T22:37:00.840398Z"},"content_sha256":"bf57875cd1de3d81dbbef55989c99747d94cb369d22a727fa0f10774d12a341d","schema_version":"1.0","event_id":"sha256:bf57875cd1de3d81dbbef55989c99747d94cb369d22a727fa0f10774d12a341d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QNV5VP7RSUKB2RC32HIXMYEMHS/bundle.json","state_url":"https://pith.science/pith/QNV5VP7RSUKB2RC32HIXMYEMHS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QNV5VP7RSUKB2RC32HIXMYEMHS/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":"2026-07-02T22:37:00Z","links":{"resolver":"https://pith.science/pith/QNV5VP7RSUKB2RC32HIXMYEMHS","bundle":"https://pith.science/pith/QNV5VP7RSUKB2RC32HIXMYEMHS/bundle.json","state":"https://pith.science/pith/QNV5VP7RSUKB2RC32HIXMYEMHS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QNV5VP7RSUKB2RC32HIXMYEMHS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QNV5VP7RSUKB2RC32HIXMYEMHS","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":"9e8bff05c29ed8f5863d92a5b5e02a81c55a55b5294b5f3421593560ec9a153f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-26T17:45:36Z","title_canon_sha256":"6f4e7b2cf5fd5bedf3cf8a46e18b8691f9722c1a4e9f6f0845c2dd7e2a0d7226"},"schema_version":"1.0","source":{"id":"1603.08126","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.08126","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"1603.08126v1","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.08126","created_at":"2026-05-18T01:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"QNV5VP7RSUKB","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QNV5VP7RSUKB2RC3","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QNV5VP7R","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:bf57875cd1de3d81dbbef55989c99747d94cb369d22a727fa0f10774d12a341d","target":"graph","created_at":"2026-05-18T01:18:13Z","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":"General hyperbolic systems of balance laws with inhomogeneous flux and source are studied. Global existence of entropy weak solutions to the Cauchy problem is established for small $BV$ data under appropriate assumptions on the decay of the flux and the source with respect to space and time. There is neither a hypothesis about equilibrium solution nor about the dependence of the source on the state vector as previous results have assumed.","authors_text":"Cleopatra Christoforou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-26T17:45:36Z","title":"A remark on the Glimm scheme for inhomogeneous hyperbolic systems of balance laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08126","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":"sha256:440ab1c82ed92983d70366544300f53ff4f0e07c04819209904f4e0628e5a03e","target":"record","created_at":"2026-05-18T01:18:13Z","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":"9e8bff05c29ed8f5863d92a5b5e02a81c55a55b5294b5f3421593560ec9a153f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-03-26T17:45:36Z","title_canon_sha256":"6f4e7b2cf5fd5bedf3cf8a46e18b8691f9722c1a4e9f6f0845c2dd7e2a0d7226"},"schema_version":"1.0","source":{"id":"1603.08126","kind":"arxiv","version":1}},"canonical_sha256":"836bdabff195141d445bd1d176608c3c8152a191641cab6272910606351b9038","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"836bdabff195141d445bd1d176608c3c8152a191641cab6272910606351b9038","first_computed_at":"2026-05-18T01:18:13.179455Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:13.179455Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CgvP7VUEJNBx5NxhiJl/JjJXLeySw3msCrz8DUc5BjukDzt8HjBMAkoFNgiLGiCMCTpMxK1vCazt/qiWW5MIDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:13.179956Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.08126","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:440ab1c82ed92983d70366544300f53ff4f0e07c04819209904f4e0628e5a03e","sha256:bf57875cd1de3d81dbbef55989c99747d94cb369d22a727fa0f10774d12a341d"],"state_sha256":"f19cfdbb4dacad77453dee417ed88f499ec664290f86bf1d1716d7ffd02843c4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JQ+N6VxXtirTnUNC8tcb7q9loD4vpcbd8vSL2F5DoYmxILUSSrUW1wPbOQTmIABr82nbI9gNWpzUPhq9nbi1Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T22:37:00.842391Z","bundle_sha256":"17a878b4eed0a37037e08773d94bce63940bc9485999868ef3a22fe89d79f037"}}