{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:EIX4XUUZD6OVCIYFPCQE23JVU7","short_pith_number":"pith:EIX4XUUZ","canonical_record":{"source":{"id":"1505.07957","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-29T08:22:27Z","cross_cats_sorted":[],"title_canon_sha256":"20d485de4f005ca7cb06c5b4f67b652c6159bb2e38d2259ea8206bd59cb8478a","abstract_canon_sha256":"92c17ae9ffdffce65c5577307b51b8ea11b8665a3d55d34b65de1c90a63010c1"},"schema_version":"1.0"},"canonical_sha256":"222fcbd2991f9d51230578a04d6d35a7c08975a52e6fc28f4eb18d18d81bf0a6","source":{"kind":"arxiv","id":"1505.07957","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07957","created_at":"2026-05-18T02:00:00Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07957v1","created_at":"2026-05-18T02:00:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07957","created_at":"2026-05-18T02:00:00Z"},{"alias_kind":"pith_short_12","alias_value":"EIX4XUUZD6OV","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EIX4XUUZD6OVCIYF","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EIX4XUUZ","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:EIX4XUUZD6OVCIYFPCQE23JVU7","target":"record","payload":{"canonical_record":{"source":{"id":"1505.07957","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-29T08:22:27Z","cross_cats_sorted":[],"title_canon_sha256":"20d485de4f005ca7cb06c5b4f67b652c6159bb2e38d2259ea8206bd59cb8478a","abstract_canon_sha256":"92c17ae9ffdffce65c5577307b51b8ea11b8665a3d55d34b65de1c90a63010c1"},"schema_version":"1.0"},"canonical_sha256":"222fcbd2991f9d51230578a04d6d35a7c08975a52e6fc28f4eb18d18d81bf0a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:00.199610Z","signature_b64":"6ztbmW3IkOwVkjNtzlYXJoZ/SkOMFknkUIw2fTcQVguAlahDuTODu4EEjBYKqKRiziBuJyCY5HiHkbN8/wmhDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"222fcbd2991f9d51230578a04d6d35a7c08975a52e6fc28f4eb18d18d81bf0a6","last_reissued_at":"2026-05-18T02:00:00.199054Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:00.199054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.07957","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":"2026-05-18T02:00:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r96bJmoyBCtdawYNecO1N5oIGjBsLiYJrjDJzn+NSrL1x+I0qXI7GRirIBm8yk4JlyAu70pHqgoZnPt7RgnWAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T23:00:01.974300Z"},"content_sha256":"47d30d2fe9477143a97b06749775f16ef7b459270ff1434c594e982e9dd650b5","schema_version":"1.0","event_id":"sha256:47d30d2fe9477143a97b06749775f16ef7b459270ff1434c594e982e9dd650b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:EIX4XUUZD6OVCIYFPCQE23JVU7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relaxation approximation of Friedrich's systems under convex constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Cl\\'ement Mifsud (LJLL), Jean-Fran\\c{c}ois Babadjian (LJLL), LJLL), Nicolas Seguin (INRIA Paris-Rocquencourt","submitted_at":"2015-05-29T08:22:27Z","abstract_excerpt":"This paper is devoted to present an approximation of a Cauchy problem for Friedrichs' systems under convex constraints. It is proved the strong convergence in L^2\\_{loc} of a parabolic-relaxed approximation towards the unique constrained solution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07957","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":"2026-05-18T02:00:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JdR5t9qcH04swYh6aQoQtV8Ev+ent52cD4HoX6OiLGUTei3p+qvoKJNIWKqlatHRH23ZxMUngvLIE0CEEkK2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T23:00:01.974661Z"},"content_sha256":"4796462dc32e6462eaf5c10c20cc42ff9f8c031e98bde1e813f5e5de264e0e54","schema_version":"1.0","event_id":"sha256:4796462dc32e6462eaf5c10c20cc42ff9f8c031e98bde1e813f5e5de264e0e54"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EIX4XUUZD6OVCIYFPCQE23JVU7/bundle.json","state_url":"https://pith.science/pith/EIX4XUUZD6OVCIYFPCQE23JVU7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EIX4XUUZD6OVCIYFPCQE23JVU7/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":"2026-06-01T23:00:01Z","links":{"resolver":"https://pith.science/pith/EIX4XUUZD6OVCIYFPCQE23JVU7","bundle":"https://pith.science/pith/EIX4XUUZD6OVCIYFPCQE23JVU7/bundle.json","state":"https://pith.science/pith/EIX4XUUZD6OVCIYFPCQE23JVU7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EIX4XUUZD6OVCIYFPCQE23JVU7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EIX4XUUZD6OVCIYFPCQE23JVU7","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":"92c17ae9ffdffce65c5577307b51b8ea11b8665a3d55d34b65de1c90a63010c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-29T08:22:27Z","title_canon_sha256":"20d485de4f005ca7cb06c5b4f67b652c6159bb2e38d2259ea8206bd59cb8478a"},"schema_version":"1.0","source":{"id":"1505.07957","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07957","created_at":"2026-05-18T02:00:00Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07957v1","created_at":"2026-05-18T02:00:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07957","created_at":"2026-05-18T02:00:00Z"},{"alias_kind":"pith_short_12","alias_value":"EIX4XUUZD6OV","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EIX4XUUZD6OVCIYF","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EIX4XUUZ","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:4796462dc32e6462eaf5c10c20cc42ff9f8c031e98bde1e813f5e5de264e0e54","target":"graph","created_at":"2026-05-18T02:00:00Z","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":"This paper is devoted to present an approximation of a Cauchy problem for Friedrichs' systems under convex constraints. It is proved the strong convergence in L^2\\_{loc} of a parabolic-relaxed approximation towards the unique constrained solution.","authors_text":"Cl\\'ement Mifsud (LJLL), Jean-Fran\\c{c}ois Babadjian (LJLL), LJLL), Nicolas Seguin (INRIA Paris-Rocquencourt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-29T08:22:27Z","title":"Relaxation approximation of Friedrich's systems under convex constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07957","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":"sha256:47d30d2fe9477143a97b06749775f16ef7b459270ff1434c594e982e9dd650b5","target":"record","created_at":"2026-05-18T02:00:00Z","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":"92c17ae9ffdffce65c5577307b51b8ea11b8665a3d55d34b65de1c90a63010c1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-29T08:22:27Z","title_canon_sha256":"20d485de4f005ca7cb06c5b4f67b652c6159bb2e38d2259ea8206bd59cb8478a"},"schema_version":"1.0","source":{"id":"1505.07957","kind":"arxiv","version":1}},"canonical_sha256":"222fcbd2991f9d51230578a04d6d35a7c08975a52e6fc28f4eb18d18d81bf0a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"222fcbd2991f9d51230578a04d6d35a7c08975a52e6fc28f4eb18d18d81bf0a6","first_computed_at":"2026-05-18T02:00:00.199054Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:00.199054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6ztbmW3IkOwVkjNtzlYXJoZ/SkOMFknkUIw2fTcQVguAlahDuTODu4EEjBYKqKRiziBuJyCY5HiHkbN8/wmhDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:00.199610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07957","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47d30d2fe9477143a97b06749775f16ef7b459270ff1434c594e982e9dd650b5","sha256:4796462dc32e6462eaf5c10c20cc42ff9f8c031e98bde1e813f5e5de264e0e54"],"state_sha256":"9c452476bbdbdf12791694712f7405b5164bedbbefda4aad5cdeb323b690205d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nkqAZxPF8h8QxzrRiAAXL6L0LblGX/OgqxcUZTRX69YjSFTuvebN1cMAtaf9+7BavU5irvX62TnGpSVFp0aiDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T23:00:01.976485Z","bundle_sha256":"08dd3f5f1ce2be7bef471aed98a27494ea9bc422b4af37c41c5d8de592cbc419"}}