{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:QMYOITXCPRKE57D6364FHGRMAM","short_pith_number":"pith:QMYOITXC","canonical_record":{"source":{"id":"1501.03417","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-14T17:25:37Z","cross_cats_sorted":[],"title_canon_sha256":"9e7223acdb23cb7c19c752eaca70eb663b4b34904d644a4f0ab832bbc6b4f63f","abstract_canon_sha256":"a643298f0ae9f309b7c00da165fc55d0c426da318deb1f9e56969cea54e50df0"},"schema_version":"1.0"},"canonical_sha256":"8330e44ee27c544efc7edfb8539a2c030b03fd9d8aa65ee8fca7fb7fdca2dc8e","source":{"kind":"arxiv","id":"1501.03417","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.03417","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"arxiv_version","alias_value":"1501.03417v1","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03417","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"pith_short_12","alias_value":"QMYOITXCPRKE","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QMYOITXCPRKE57D6","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QMYOITXC","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:QMYOITXCPRKE57D6364FHGRMAM","target":"record","payload":{"canonical_record":{"source":{"id":"1501.03417","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-14T17:25:37Z","cross_cats_sorted":[],"title_canon_sha256":"9e7223acdb23cb7c19c752eaca70eb663b4b34904d644a4f0ab832bbc6b4f63f","abstract_canon_sha256":"a643298f0ae9f309b7c00da165fc55d0c426da318deb1f9e56969cea54e50df0"},"schema_version":"1.0"},"canonical_sha256":"8330e44ee27c544efc7edfb8539a2c030b03fd9d8aa65ee8fca7fb7fdca2dc8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:24.109472Z","signature_b64":"7dxsgzT8uBQ2wBZ0mUVhwHeLy6tTEKo8IeykgaL7MQc79wY/yHyV8UyGDX5WVc9Zw3qMyXoojxUWrX/w9PxmDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8330e44ee27c544efc7edfb8539a2c030b03fd9d8aa65ee8fca7fb7fdca2dc8e","last_reissued_at":"2026-05-18T02:29:24.108832Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:24.108832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.03417","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":"2026-05-18T02:29:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PuotMSYTNlTcKf7ExlJFU2nYKU521jRppCA0c43lWp4RKZAok/WSHDU/uogS6DigRC4h2jSzTiucEfCbEeO5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:10:59.318339Z"},"content_sha256":"0c130127eca333f609ce230452a2a11ab8d5633d9564bb77bfa3b016780fa589","schema_version":"1.0","event_id":"sha256:0c130127eca333f609ce230452a2a11ab8d5633d9564bb77bfa3b016780fa589"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:QMYOITXCPRKE57D6364FHGRMAM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global weak solutions for a 2X2 balance nonsymmetric system of Keyfitz-Kranzer type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Juan C. Juajibioy, Leonardo Rendon, Richar A De La Cruz G","submitted_at":"2015-01-14T17:25:37Z","abstract_excerpt":"In this paper we consider the existence of global weak entropy solutions for a particualr nonsymmetric Keyfitz-Kranzer type system, by using the compensated compactness method we get bounde entropy weak solutions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03417","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":"2026-05-18T02:29:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rHX1FmcnmScq1K7dRIFYBINhww6Jy4fQaaR1UTjAgjdYCJAnRPCp+pvsIz45KiNC6OE2cBEYuNlUbzBNF6iDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:10:59.318683Z"},"content_sha256":"53ed4cc19b464f00ddef51c5ef34a93346ba1809826c6f685bcacce30d6a2e83","schema_version":"1.0","event_id":"sha256:53ed4cc19b464f00ddef51c5ef34a93346ba1809826c6f685bcacce30d6a2e83"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QMYOITXCPRKE57D6364FHGRMAM/bundle.json","state_url":"https://pith.science/pith/QMYOITXCPRKE57D6364FHGRMAM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QMYOITXCPRKE57D6364FHGRMAM/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":"2026-06-12T10:10:59Z","links":{"resolver":"https://pith.science/pith/QMYOITXCPRKE57D6364FHGRMAM","bundle":"https://pith.science/pith/QMYOITXCPRKE57D6364FHGRMAM/bundle.json","state":"https://pith.science/pith/QMYOITXCPRKE57D6364FHGRMAM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QMYOITXCPRKE57D6364FHGRMAM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:QMYOITXCPRKE57D6364FHGRMAM","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":"a643298f0ae9f309b7c00da165fc55d0c426da318deb1f9e56969cea54e50df0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-14T17:25:37Z","title_canon_sha256":"9e7223acdb23cb7c19c752eaca70eb663b4b34904d644a4f0ab832bbc6b4f63f"},"schema_version":"1.0","source":{"id":"1501.03417","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.03417","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"arxiv_version","alias_value":"1501.03417v1","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03417","created_at":"2026-05-18T02:29:24Z"},{"alias_kind":"pith_short_12","alias_value":"QMYOITXCPRKE","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"QMYOITXCPRKE57D6","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"QMYOITXC","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:53ed4cc19b464f00ddef51c5ef34a93346ba1809826c6f685bcacce30d6a2e83","target":"graph","created_at":"2026-05-18T02:29:24Z","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 consider the existence of global weak entropy solutions for a particualr nonsymmetric Keyfitz-Kranzer type system, by using the compensated compactness method we get bounde entropy weak solutions","authors_text":"Juan C. Juajibioy, Leonardo Rendon, Richar A De La Cruz G","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-14T17:25:37Z","title":"Global weak solutions for a 2X2 balance nonsymmetric system of Keyfitz-Kranzer type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03417","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":"sha256:0c130127eca333f609ce230452a2a11ab8d5633d9564bb77bfa3b016780fa589","target":"record","created_at":"2026-05-18T02:29:24Z","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":"a643298f0ae9f309b7c00da165fc55d0c426da318deb1f9e56969cea54e50df0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-01-14T17:25:37Z","title_canon_sha256":"9e7223acdb23cb7c19c752eaca70eb663b4b34904d644a4f0ab832bbc6b4f63f"},"schema_version":"1.0","source":{"id":"1501.03417","kind":"arxiv","version":1}},"canonical_sha256":"8330e44ee27c544efc7edfb8539a2c030b03fd9d8aa65ee8fca7fb7fdca2dc8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8330e44ee27c544efc7edfb8539a2c030b03fd9d8aa65ee8fca7fb7fdca2dc8e","first_computed_at":"2026-05-18T02:29:24.108832Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:24.108832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7dxsgzT8uBQ2wBZ0mUVhwHeLy6tTEKo8IeykgaL7MQc79wY/yHyV8UyGDX5WVc9Zw3qMyXoojxUWrX/w9PxmDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:24.109472Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.03417","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c130127eca333f609ce230452a2a11ab8d5633d9564bb77bfa3b016780fa589","sha256:53ed4cc19b464f00ddef51c5ef34a93346ba1809826c6f685bcacce30d6a2e83"],"state_sha256":"b3fee04658808050f7bc819741a3e061918e74aa323639cc75d7422505c419d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"28396+bTKEYlhvk9vqTGYkr5qU31kNiUUvVx1LryYiIoL0+yEWOs0Nn5iHr4WgxJzcHGTzCXd9nldocpSEkQBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T10:10:59.320633Z","bundle_sha256":"f3d766f5c75028aa7054759a5f5eaced5c76aa647cfc91ae2dfa3ce503376ca4"}}