{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ETRLBYKWND3UM53LBOBKA2BQXZ","short_pith_number":"pith:ETRLBYKW","canonical_record":{"source":{"id":"1506.05743","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-18T16:39:43Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f6b935bc0077e550ed50954aeff8053f26f9a506cb6130d9a828c17cb3369b9a","abstract_canon_sha256":"b6654ba728b647fc9d89c1eac2e6c8f8479cb18aa483d346bc258d20cd3b6bf7"},"schema_version":"1.0"},"canonical_sha256":"24e2b0e15668f746776b0b82a06830be6e5940d6e80bc25c146bf186d449e63f","source":{"kind":"arxiv","id":"1506.05743","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05743","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05743v1","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05743","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"pith_short_12","alias_value":"ETRLBYKWND3U","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ETRLBYKWND3UM53L","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ETRLBYKW","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ETRLBYKWND3UM53LBOBKA2BQXZ","target":"record","payload":{"canonical_record":{"source":{"id":"1506.05743","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-18T16:39:43Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"f6b935bc0077e550ed50954aeff8053f26f9a506cb6130d9a828c17cb3369b9a","abstract_canon_sha256":"b6654ba728b647fc9d89c1eac2e6c8f8479cb18aa483d346bc258d20cd3b6bf7"},"schema_version":"1.0"},"canonical_sha256":"24e2b0e15668f746776b0b82a06830be6e5940d6e80bc25c146bf186d449e63f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:09.824758Z","signature_b64":"5GqA6O+CC08JYsMp37pOQqQANqLfnl+I5dfTufuJ9AC34nxdQb5izNj9JijG3Mmu5n311vYf6ej77TO2dmufAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24e2b0e15668f746776b0b82a06830be6e5940d6e80bc25c146bf186d449e63f","last_reissued_at":"2026-05-18T01:44:09.824017Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:09.824017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.05743","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":"2026-05-18T01:44:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NElt6281BJfQKABkByWA5W4GyPk4DSvVn7qGziSOW5RcWirLndBj+kFZJ0ix+JXiTxAVw5ra/2yIc1RC2l5NAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:24:52.248197Z"},"content_sha256":"29feff03a6ae508307219a5b6438cbc9387658ce98b06564e10300eba12d411d","schema_version":"1.0","event_id":"sha256:29feff03a6ae508307219a5b6438cbc9387658ce98b06564e10300eba12d411d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ETRLBYKWND3UM53LBOBKA2BQXZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"\"Irregularization\" of Systems of Conservation Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Hunter Swan, James P. Sethna, Matthew Bierbaum, Stefanos Papanikolaou, Woosong Choi, Yong S. Chen","submitted_at":"2015-06-18T16:39:43Z","abstract_excerpt":"We explore new ways of regulating defect behavior in systems of conservation laws. Contrary to usual regularization schemes (such as a vanishing viscosity limit), which attempt to control defects by making them smoother, our schemes result in defects which are \\textit{more singular}, and we thus refer to such schemes as \"irregularizations\". In particular, we seek to produce \\textit{delta shock} defects which satisfy a condition of \\textit{stationarity}. We are motivated to pursue such exotic defects by a physical example arising from dislocation dynamics in materials physics, which we describe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05743","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":"2026-05-18T01:44:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yhg5GUaX19aQXOuCeHibVz8P7GdKSZa6Eyz0icQDMYRDZkfzSQZvWIygHHR3DuUj4diFnEBPdMkIei1YH9R/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:24:52.248886Z"},"content_sha256":"9c731a25a7307a368115d415ecd91b8dcb9580e7233b1fb18076681bcea519fc","schema_version":"1.0","event_id":"sha256:9c731a25a7307a368115d415ecd91b8dcb9580e7233b1fb18076681bcea519fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ETRLBYKWND3UM53LBOBKA2BQXZ/bundle.json","state_url":"https://pith.science/pith/ETRLBYKWND3UM53LBOBKA2BQXZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ETRLBYKWND3UM53LBOBKA2BQXZ/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":"2026-05-28T10:24:52Z","links":{"resolver":"https://pith.science/pith/ETRLBYKWND3UM53LBOBKA2BQXZ","bundle":"https://pith.science/pith/ETRLBYKWND3UM53LBOBKA2BQXZ/bundle.json","state":"https://pith.science/pith/ETRLBYKWND3UM53LBOBKA2BQXZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ETRLBYKWND3UM53LBOBKA2BQXZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ETRLBYKWND3UM53LBOBKA2BQXZ","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":"b6654ba728b647fc9d89c1eac2e6c8f8479cb18aa483d346bc258d20cd3b6bf7","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-18T16:39:43Z","title_canon_sha256":"f6b935bc0077e550ed50954aeff8053f26f9a506cb6130d9a828c17cb3369b9a"},"schema_version":"1.0","source":{"id":"1506.05743","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05743","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05743v1","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05743","created_at":"2026-05-18T01:44:09Z"},{"alias_kind":"pith_short_12","alias_value":"ETRLBYKWND3U","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ETRLBYKWND3UM53L","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ETRLBYKW","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:9c731a25a7307a368115d415ecd91b8dcb9580e7233b1fb18076681bcea519fc","target":"graph","created_at":"2026-05-18T01:44:09Z","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 explore new ways of regulating defect behavior in systems of conservation laws. Contrary to usual regularization schemes (such as a vanishing viscosity limit), which attempt to control defects by making them smoother, our schemes result in defects which are \\textit{more singular}, and we thus refer to such schemes as \"irregularizations\". In particular, we seek to produce \\textit{delta shock} defects which satisfy a condition of \\textit{stationarity}. We are motivated to pursue such exotic defects by a physical example arising from dislocation dynamics in materials physics, which we describe","authors_text":"Hunter Swan, James P. Sethna, Matthew Bierbaum, Stefanos Papanikolaou, Woosong Choi, Yong S. Chen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-18T16:39:43Z","title":"\"Irregularization\" of Systems of Conservation Laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05743","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":"sha256:29feff03a6ae508307219a5b6438cbc9387658ce98b06564e10300eba12d411d","target":"record","created_at":"2026-05-18T01:44:09Z","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":"b6654ba728b647fc9d89c1eac2e6c8f8479cb18aa483d346bc258d20cd3b6bf7","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-06-18T16:39:43Z","title_canon_sha256":"f6b935bc0077e550ed50954aeff8053f26f9a506cb6130d9a828c17cb3369b9a"},"schema_version":"1.0","source":{"id":"1506.05743","kind":"arxiv","version":1}},"canonical_sha256":"24e2b0e15668f746776b0b82a06830be6e5940d6e80bc25c146bf186d449e63f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24e2b0e15668f746776b0b82a06830be6e5940d6e80bc25c146bf186d449e63f","first_computed_at":"2026-05-18T01:44:09.824017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:09.824017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5GqA6O+CC08JYsMp37pOQqQANqLfnl+I5dfTufuJ9AC34nxdQb5izNj9JijG3Mmu5n311vYf6ej77TO2dmufAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:09.824758Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.05743","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29feff03a6ae508307219a5b6438cbc9387658ce98b06564e10300eba12d411d","sha256:9c731a25a7307a368115d415ecd91b8dcb9580e7233b1fb18076681bcea519fc"],"state_sha256":"290506fa0e240c0f6c52b3f1a42688f131081167672fbe4bccee21878cd95d88"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/J/tkd5898nsE2slGnx7S3U9zFpUhUtLHmrHVCyzkpYUrsjBA+jP3mZ4tZCza9ZS0WBPRLutJD5zEyLWx2JKDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:24:52.251990Z","bundle_sha256":"4c1390ec3f2f988e0696577c4062bc168ea77252d2e0fb94de11450de2f0528d"}}