{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VW5FV6ORLGKP2HPBO3ZGFMYGEC","short_pith_number":"pith:VW5FV6OR","canonical_record":{"source":{"id":"1710.04547","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-12T14:51:53Z","cross_cats_sorted":[],"title_canon_sha256":"6a6447abd20a3efaeedd1b2a28c2717a564dc8c6f8cac831d9ed22e4701e14ff","abstract_canon_sha256":"05af5c312ec1482f42a2eca01e2bcd9cad4d7bb75073abffc701d8d8d30a0a1a"},"schema_version":"1.0"},"canonical_sha256":"adba5af9d15994fd1de176f262b30620bc34a81e152782627200ab213e822516","source":{"kind":"arxiv","id":"1710.04547","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04547","created_at":"2026-05-17T23:51:26Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04547v2","created_at":"2026-05-17T23:51:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04547","created_at":"2026-05-17T23:51:26Z"},{"alias_kind":"pith_short_12","alias_value":"VW5FV6ORLGKP","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VW5FV6ORLGKP2HPB","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VW5FV6OR","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VW5FV6ORLGKP2HPBO3ZGFMYGEC","target":"record","payload":{"canonical_record":{"source":{"id":"1710.04547","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-12T14:51:53Z","cross_cats_sorted":[],"title_canon_sha256":"6a6447abd20a3efaeedd1b2a28c2717a564dc8c6f8cac831d9ed22e4701e14ff","abstract_canon_sha256":"05af5c312ec1482f42a2eca01e2bcd9cad4d7bb75073abffc701d8d8d30a0a1a"},"schema_version":"1.0"},"canonical_sha256":"adba5af9d15994fd1de176f262b30620bc34a81e152782627200ab213e822516","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:26.204117Z","signature_b64":"5ffgvUxf4QoTT5bKvSCWiTlgjcwftiwXs7qT+ylWdORrKySRCl95MOOs7WUoAK8cf5EBiwnkrot+HgpRob/eBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adba5af9d15994fd1de176f262b30620bc34a81e152782627200ab213e822516","last_reissued_at":"2026-05-17T23:51:26.203613Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:26.203613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.04547","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xzeod/dlNaF0eXvug7sgXh3ZezzXASx2Phfma+T0rB7UYGS2tDqZoVlawtQhlYc/tW4LQpwMis+eyuzxiHE9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T20:08:25.973850Z"},"content_sha256":"e0c79a0a73b3d794dae59d4676b60047aa0075f809c77ccadcb2d7e3031f5f56","schema_version":"1.0","event_id":"sha256:e0c79a0a73b3d794dae59d4676b60047aa0075f809c77ccadcb2d7e3031f5f56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VW5FV6ORLGKP2HPBO3ZGFMYGEC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the singular local limit for conservation laws with nonlocal fluxes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gianluca Crippa, Laura V. Spinolo, Maria Colombo","submitted_at":"2017-10-12T14:51:53Z","abstract_excerpt":"We give an answer to a question posed in [P. Amorim, R. Colombo, and A. Teixeira, ESAIM Math. Model. Numerics. Anal. 2015], which can be loosely speaking formulated as follows. Consider a family of continuity equations where the velocity depends on the solution via the convolution by a regular kernel. In the singular limit where the convolution kernel is replaced by a Dirac delta, one formally recovers a conservation law: can we rigorously justify this formal limit? We exhibit counterexamples showing that, despite numerical evidence suggesting a positive answer, one in general does not have co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04547","kind":"arxiv","version":2},"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":"2026-05-17T23:51:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wdKB9pFRbu2mbgKo3JGhNnQShg0ppop6FepDPY3GTFsKFElUcW1WoweuOFf6Il853iIvivYNpe7zE9UOCdYvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T20:08:25.974186Z"},"content_sha256":"988b16823074f2e89b1b75a9c8c6e0933d0d5b154c55ed3f392344877e199300","schema_version":"1.0","event_id":"sha256:988b16823074f2e89b1b75a9c8c6e0933d0d5b154c55ed3f392344877e199300"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VW5FV6ORLGKP2HPBO3ZGFMYGEC/bundle.json","state_url":"https://pith.science/pith/VW5FV6ORLGKP2HPBO3ZGFMYGEC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VW5FV6ORLGKP2HPBO3ZGFMYGEC/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":"2026-06-20T20:08:25Z","links":{"resolver":"https://pith.science/pith/VW5FV6ORLGKP2HPBO3ZGFMYGEC","bundle":"https://pith.science/pith/VW5FV6ORLGKP2HPBO3ZGFMYGEC/bundle.json","state":"https://pith.science/pith/VW5FV6ORLGKP2HPBO3ZGFMYGEC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VW5FV6ORLGKP2HPBO3ZGFMYGEC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VW5FV6ORLGKP2HPBO3ZGFMYGEC","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":"05af5c312ec1482f42a2eca01e2bcd9cad4d7bb75073abffc701d8d8d30a0a1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-12T14:51:53Z","title_canon_sha256":"6a6447abd20a3efaeedd1b2a28c2717a564dc8c6f8cac831d9ed22e4701e14ff"},"schema_version":"1.0","source":{"id":"1710.04547","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04547","created_at":"2026-05-17T23:51:26Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04547v2","created_at":"2026-05-17T23:51:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04547","created_at":"2026-05-17T23:51:26Z"},{"alias_kind":"pith_short_12","alias_value":"VW5FV6ORLGKP","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VW5FV6ORLGKP2HPB","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VW5FV6OR","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:988b16823074f2e89b1b75a9c8c6e0933d0d5b154c55ed3f392344877e199300","target":"graph","created_at":"2026-05-17T23:51:26Z","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 give an answer to a question posed in [P. Amorim, R. Colombo, and A. Teixeira, ESAIM Math. Model. Numerics. Anal. 2015], which can be loosely speaking formulated as follows. Consider a family of continuity equations where the velocity depends on the solution via the convolution by a regular kernel. In the singular limit where the convolution kernel is replaced by a Dirac delta, one formally recovers a conservation law: can we rigorously justify this formal limit? We exhibit counterexamples showing that, despite numerical evidence suggesting a positive answer, one in general does not have co","authors_text":"Gianluca Crippa, Laura V. Spinolo, Maria Colombo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-12T14:51:53Z","title":"On the singular local limit for conservation laws with nonlocal fluxes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04547","kind":"arxiv","version":2},"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:e0c79a0a73b3d794dae59d4676b60047aa0075f809c77ccadcb2d7e3031f5f56","target":"record","created_at":"2026-05-17T23:51:26Z","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":"05af5c312ec1482f42a2eca01e2bcd9cad4d7bb75073abffc701d8d8d30a0a1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-12T14:51:53Z","title_canon_sha256":"6a6447abd20a3efaeedd1b2a28c2717a564dc8c6f8cac831d9ed22e4701e14ff"},"schema_version":"1.0","source":{"id":"1710.04547","kind":"arxiv","version":2}},"canonical_sha256":"adba5af9d15994fd1de176f262b30620bc34a81e152782627200ab213e822516","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adba5af9d15994fd1de176f262b30620bc34a81e152782627200ab213e822516","first_computed_at":"2026-05-17T23:51:26.203613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:26.203613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ffgvUxf4QoTT5bKvSCWiTlgjcwftiwXs7qT+ylWdORrKySRCl95MOOs7WUoAK8cf5EBiwnkrot+HgpRob/eBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:26.204117Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.04547","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0c79a0a73b3d794dae59d4676b60047aa0075f809c77ccadcb2d7e3031f5f56","sha256:988b16823074f2e89b1b75a9c8c6e0933d0d5b154c55ed3f392344877e199300"],"state_sha256":"d4626530fcddbc454e07615c5d2513b8fb96148b90b3188a1d49ef8d41bf2e95"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qsamx79F20XA5rxg7w+674c++wVxFpIUur3wOU5MK0RWDA4X40DmaPk2p0gh44rnaOutCpTzlfkpvDHZdHIFCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T20:08:25.976056Z","bundle_sha256":"633dfb42f9243d4263df90d62900da0820e5e0ca358914a92a956778176ebc2a"}}