{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:I7J7POP4VYNAA4N5GP623UHKQZ","short_pith_number":"pith:I7J7POP4","canonical_record":{"source":{"id":"1803.01889","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-05T19:22:11Z","cross_cats_sorted":[],"title_canon_sha256":"999df36909a0bef4058066a5eec1b776dbbf8e8348c10066d2475e7c131fcb88","abstract_canon_sha256":"d0e8f546e0e315556eb818fcb36a5e552455056255a007a6e309f61d7fd3c878"},"schema_version":"1.0"},"canonical_sha256":"47d3f7b9fcae1a0071bd33fdadd0ea86779dacf0f78c7f8882c4e73f97955332","source":{"kind":"arxiv","id":"1803.01889","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01889","created_at":"2026-05-18T00:21:56Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01889v1","created_at":"2026-05-18T00:21:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01889","created_at":"2026-05-18T00:21:56Z"},{"alias_kind":"pith_short_12","alias_value":"I7J7POP4VYNA","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"I7J7POP4VYNAA4N5","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"I7J7POP4","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:I7J7POP4VYNAA4N5GP623UHKQZ","target":"record","payload":{"canonical_record":{"source":{"id":"1803.01889","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-05T19:22:11Z","cross_cats_sorted":[],"title_canon_sha256":"999df36909a0bef4058066a5eec1b776dbbf8e8348c10066d2475e7c131fcb88","abstract_canon_sha256":"d0e8f546e0e315556eb818fcb36a5e552455056255a007a6e309f61d7fd3c878"},"schema_version":"1.0"},"canonical_sha256":"47d3f7b9fcae1a0071bd33fdadd0ea86779dacf0f78c7f8882c4e73f97955332","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:56.409537Z","signature_b64":"kP1Rl69PTTGD1i/wF8+tjU1anu2DnE+yeByyHU94HGYRaw64PNXQuf3wfxGoTJls3X+zoK88U+SFe0ccRa//Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47d3f7b9fcae1a0071bd33fdadd0ea86779dacf0f78c7f8882c4e73f97955332","last_reissued_at":"2026-05-18T00:21:56.408918Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:56.408918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.01889","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":"2026-05-18T00:21:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vJNkWry7smsCvqCIDpcR0uAq6wqmqAr1F7FS6qJhQVpcxh6XwCACu+d2UKTLAsRghb6CvGuLHWR3UryGx68kBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T11:51:38.470861Z"},"content_sha256":"e90cf121d40cf8b3d9c87183aef2bc0f6c5b68cc83f9bade0eb463a85af2cd2f","schema_version":"1.0","event_id":"sha256:e90cf121d40cf8b3d9c87183aef2bc0f6c5b68cc83f9bade0eb463a85af2cd2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:I7J7POP4VYNAA4N5GP623UHKQZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the structure of solutions for general hyperbolic systems of balance laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andrea Marson, Fabio Ancona, Laura Caravenna","submitted_at":"2018-03-05T19:22:11Z","abstract_excerpt":"The paper describes the qualitative structure of BV entropy solutions of a strictly hyperbolic system of balance laws with characteristic fields either piecewise genuinely nonlinear or linearly degenerate. In particular, we provide an accurate description of the local and global wave-front structure of a BV solution generated by a fractional step scheme combined with a wave-front tracking algorithm. This extends the corresponding results by Binahcini and Yu for strictly hyperbolic systems of conservation laws."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01889","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":"2026-05-18T00:21:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F7uCtDw5fZqcRRKKlf6oFr8XwPCUqWdObDeX2/65OIrGSgOGPuz6Ua/hSC86rgXmbxoj5aExeA79vY7hzdzzDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T11:51:38.471203Z"},"content_sha256":"ca6b43609c584def85b6e601acb6a6cfc6b21c3314a399b9395c9c29470ad919","schema_version":"1.0","event_id":"sha256:ca6b43609c584def85b6e601acb6a6cfc6b21c3314a399b9395c9c29470ad919"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I7J7POP4VYNAA4N5GP623UHKQZ/bundle.json","state_url":"https://pith.science/pith/I7J7POP4VYNAA4N5GP623UHKQZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I7J7POP4VYNAA4N5GP623UHKQZ/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":"2026-07-03T11:51:38Z","links":{"resolver":"https://pith.science/pith/I7J7POP4VYNAA4N5GP623UHKQZ","bundle":"https://pith.science/pith/I7J7POP4VYNAA4N5GP623UHKQZ/bundle.json","state":"https://pith.science/pith/I7J7POP4VYNAA4N5GP623UHKQZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I7J7POP4VYNAA4N5GP623UHKQZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:I7J7POP4VYNAA4N5GP623UHKQZ","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":"d0e8f546e0e315556eb818fcb36a5e552455056255a007a6e309f61d7fd3c878","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-05T19:22:11Z","title_canon_sha256":"999df36909a0bef4058066a5eec1b776dbbf8e8348c10066d2475e7c131fcb88"},"schema_version":"1.0","source":{"id":"1803.01889","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01889","created_at":"2026-05-18T00:21:56Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01889v1","created_at":"2026-05-18T00:21:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01889","created_at":"2026-05-18T00:21:56Z"},{"alias_kind":"pith_short_12","alias_value":"I7J7POP4VYNA","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"I7J7POP4VYNAA4N5","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"I7J7POP4","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:ca6b43609c584def85b6e601acb6a6cfc6b21c3314a399b9395c9c29470ad919","target":"graph","created_at":"2026-05-18T00:21:56Z","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":"The paper describes the qualitative structure of BV entropy solutions of a strictly hyperbolic system of balance laws with characteristic fields either piecewise genuinely nonlinear or linearly degenerate. In particular, we provide an accurate description of the local and global wave-front structure of a BV solution generated by a fractional step scheme combined with a wave-front tracking algorithm. This extends the corresponding results by Binahcini and Yu for strictly hyperbolic systems of conservation laws.","authors_text":"Andrea Marson, Fabio Ancona, Laura Caravenna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-05T19:22:11Z","title":"On the structure of solutions for general hyperbolic systems of balance laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01889","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:e90cf121d40cf8b3d9c87183aef2bc0f6c5b68cc83f9bade0eb463a85af2cd2f","target":"record","created_at":"2026-05-18T00:21:56Z","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":"d0e8f546e0e315556eb818fcb36a5e552455056255a007a6e309f61d7fd3c878","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-05T19:22:11Z","title_canon_sha256":"999df36909a0bef4058066a5eec1b776dbbf8e8348c10066d2475e7c131fcb88"},"schema_version":"1.0","source":{"id":"1803.01889","kind":"arxiv","version":1}},"canonical_sha256":"47d3f7b9fcae1a0071bd33fdadd0ea86779dacf0f78c7f8882c4e73f97955332","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47d3f7b9fcae1a0071bd33fdadd0ea86779dacf0f78c7f8882c4e73f97955332","first_computed_at":"2026-05-18T00:21:56.408918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:56.408918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kP1Rl69PTTGD1i/wF8+tjU1anu2DnE+yeByyHU94HGYRaw64PNXQuf3wfxGoTJls3X+zoK88U+SFe0ccRa//Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:56.409537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.01889","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e90cf121d40cf8b3d9c87183aef2bc0f6c5b68cc83f9bade0eb463a85af2cd2f","sha256:ca6b43609c584def85b6e601acb6a6cfc6b21c3314a399b9395c9c29470ad919"],"state_sha256":"b5605625ee9821a330f648575e1b99d1e2d6b97fc0024bffd5ebcb0078864936"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4n18ht7b4eaS3uyfv2CzLk1/VeBt9pASrSIkvlTTnE6uk7fTOe+BLC1H5VgLpP6Irgy6VVMy8T24vx8d8bmNBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T11:51:38.473395Z","bundle_sha256":"f1bb8d04ab7b37e8470daf3c65647b58147bde5748a4cc36fd9b0006045f3065"}}