{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:5K7GDWG4WQJT6KBA5TJA5X76RG","short_pith_number":"pith:5K7GDWG4","canonical_record":{"source":{"id":"1801.00457","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-01T15:15:46Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"1a305fa3c66df0a862efacd16404f7b4e860fc82a1351552c01271941f0dd2ed","abstract_canon_sha256":"e92339b95e7aec84a247d103c434dc189c56105dba73537312958c77efa0b8e0"},"schema_version":"1.0"},"canonical_sha256":"eabe61d8dcb4133f2820ecd20edffe899ce0688dca3562625dfb1ed998fd72e2","source":{"kind":"arxiv","id":"1801.00457","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00457","created_at":"2026-05-18T00:09:16Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00457v1","created_at":"2026-05-18T00:09:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00457","created_at":"2026-05-18T00:09:16Z"},{"alias_kind":"pith_short_12","alias_value":"5K7GDWG4WQJT","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5K7GDWG4WQJT6KBA","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5K7GDWG4","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:5K7GDWG4WQJT6KBA5TJA5X76RG","target":"record","payload":{"canonical_record":{"source":{"id":"1801.00457","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-01T15:15:46Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"1a305fa3c66df0a862efacd16404f7b4e860fc82a1351552c01271941f0dd2ed","abstract_canon_sha256":"e92339b95e7aec84a247d103c434dc189c56105dba73537312958c77efa0b8e0"},"schema_version":"1.0"},"canonical_sha256":"eabe61d8dcb4133f2820ecd20edffe899ce0688dca3562625dfb1ed998fd72e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:16.802146Z","signature_b64":"ujTOndng0+3EgUDRA2TtW3kI+Dq1MrOtbhmRUis9CY31neHCoDvyJetAAZIZ67HNY4grF22BWalPewicVCW9Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eabe61d8dcb4133f2820ecd20edffe899ce0688dca3562625dfb1ed998fd72e2","last_reissued_at":"2026-05-18T00:09:16.801529Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:16.801529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.00457","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":"2026-05-18T00:09:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O+IrNZTJuDQnhRhaNfaGyjKb0YPNG9pgBGQU+71f7Wru/oKMJk0upgsjJJ/cz9ZAR03wq34iaaGko/e7aH3CBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:47:59.892409Z"},"content_sha256":"844468efd55e93f00514851f39163a353ed53f2913d8d343e1d7df3034017440","schema_version":"1.0","event_id":"sha256:844468efd55e93f00514851f39163a353ed53f2913d8d343e1d7df3034017440"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:5K7GDWG4WQJT6KBA5TJA5X76RG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kinetic layers and coupling conditions for nonlinear scalar equations on networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.AP","authors_text":"Axel Klar, Raul Borsche","submitted_at":"2018-01-01T15:15:46Z","abstract_excerpt":"We consider a kinetic relaxation model and an associated macroscopic scalar nonlinear hyperbolic equation on a network. Coupling conditions for the macroscopic equations are derived from the kinetic coupling conditions via an asymptotic analysis near the nodes of the network. This analysis leads to the combination of kinetic half-space problems with Riemann problems at the junction. Detailed numerical comparisons between the different models show the agreement of the coupling conditions for the case of tripod networks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00457","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":"2026-05-18T00:09:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qpv408Ia3++R89Ib/JnGiZHc9xqKuP/GaDzvQD30wPz1pPvVgCbp2/pqm1cwZ9jVJjBMh+Kk3mMENIpqAjUBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:47:59.892757Z"},"content_sha256":"d411f20399022444f7a88e68db09faa3727062b460794ff298ee9a8b9181fe0d","schema_version":"1.0","event_id":"sha256:d411f20399022444f7a88e68db09faa3727062b460794ff298ee9a8b9181fe0d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5K7GDWG4WQJT6KBA5TJA5X76RG/bundle.json","state_url":"https://pith.science/pith/5K7GDWG4WQJT6KBA5TJA5X76RG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5K7GDWG4WQJT6KBA5TJA5X76RG/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":"2026-06-02T15:47:59Z","links":{"resolver":"https://pith.science/pith/5K7GDWG4WQJT6KBA5TJA5X76RG","bundle":"https://pith.science/pith/5K7GDWG4WQJT6KBA5TJA5X76RG/bundle.json","state":"https://pith.science/pith/5K7GDWG4WQJT6KBA5TJA5X76RG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5K7GDWG4WQJT6KBA5TJA5X76RG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5K7GDWG4WQJT6KBA5TJA5X76RG","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":"e92339b95e7aec84a247d103c434dc189c56105dba73537312958c77efa0b8e0","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-01T15:15:46Z","title_canon_sha256":"1a305fa3c66df0a862efacd16404f7b4e860fc82a1351552c01271941f0dd2ed"},"schema_version":"1.0","source":{"id":"1801.00457","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00457","created_at":"2026-05-18T00:09:16Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00457v1","created_at":"2026-05-18T00:09:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00457","created_at":"2026-05-18T00:09:16Z"},{"alias_kind":"pith_short_12","alias_value":"5K7GDWG4WQJT","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5K7GDWG4WQJT6KBA","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5K7GDWG4","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:d411f20399022444f7a88e68db09faa3727062b460794ff298ee9a8b9181fe0d","target":"graph","created_at":"2026-05-18T00:09:16Z","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":"We consider a kinetic relaxation model and an associated macroscopic scalar nonlinear hyperbolic equation on a network. Coupling conditions for the macroscopic equations are derived from the kinetic coupling conditions via an asymptotic analysis near the nodes of the network. This analysis leads to the combination of kinetic half-space problems with Riemann problems at the junction. Detailed numerical comparisons between the different models show the agreement of the coupling conditions for the case of tripod networks.","authors_text":"Axel Klar, Raul Borsche","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-01T15:15:46Z","title":"Kinetic layers and coupling conditions for nonlinear scalar equations on networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00457","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":"sha256:844468efd55e93f00514851f39163a353ed53f2913d8d343e1d7df3034017440","target":"record","created_at":"2026-05-18T00:09:16Z","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":"e92339b95e7aec84a247d103c434dc189c56105dba73537312958c77efa0b8e0","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-01-01T15:15:46Z","title_canon_sha256":"1a305fa3c66df0a862efacd16404f7b4e860fc82a1351552c01271941f0dd2ed"},"schema_version":"1.0","source":{"id":"1801.00457","kind":"arxiv","version":1}},"canonical_sha256":"eabe61d8dcb4133f2820ecd20edffe899ce0688dca3562625dfb1ed998fd72e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eabe61d8dcb4133f2820ecd20edffe899ce0688dca3562625dfb1ed998fd72e2","first_computed_at":"2026-05-18T00:09:16.801529Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:16.801529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ujTOndng0+3EgUDRA2TtW3kI+Dq1MrOtbhmRUis9CY31neHCoDvyJetAAZIZ67HNY4grF22BWalPewicVCW9Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:16.802146Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00457","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:844468efd55e93f00514851f39163a353ed53f2913d8d343e1d7df3034017440","sha256:d411f20399022444f7a88e68db09faa3727062b460794ff298ee9a8b9181fe0d"],"state_sha256":"7269fb98dcd3a2637a4f659f2c33917505d9a04ea14fc3c43a81be4947fe2edc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zCmcbxD0/ji2aQNIP/MXc2zX3R+dF5FlDzaJt7aji3epURnyrZxopYNnNLBbzrKp4Rxa5XWaGP+GzlH6kiLcAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:47:59.894657Z","bundle_sha256":"e35eec140ae9143dd2114c2968749ac4059a1922d37d45884e67268b5969a799"}}