{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4FBYRHXGRM6YQ3BBPRJ3TZTPC7","short_pith_number":"pith:4FBYRHXG","canonical_record":{"source":{"id":"1803.00953","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-02T17:14:05Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"576abb6c396b1e0ac81178bd81121a8348b672d3a170233bec61a906653c1367","abstract_canon_sha256":"d7121c31931275d75880aa471cd6ae2cdd8c978e4d3920021f9b16b630ca3432"},"schema_version":"1.0"},"canonical_sha256":"e143889ee68b3d886c217c53b9e66f17f1fe42951a8fcd39f4fec9c9a5de31e5","source":{"kind":"arxiv","id":"1803.00953","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00953","created_at":"2026-07-05T00:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00953v1","created_at":"2026-07-05T00:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00953","created_at":"2026-07-05T00:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"4FBYRHXGRM6Y","created_at":"2026-07-05T00:17:46Z"},{"alias_kind":"pith_short_16","alias_value":"4FBYRHXGRM6YQ3BB","created_at":"2026-07-05T00:17:46Z"},{"alias_kind":"pith_short_8","alias_value":"4FBYRHXG","created_at":"2026-07-05T00:17:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4FBYRHXGRM6YQ3BBPRJ3TZTPC7","target":"record","payload":{"canonical_record":{"source":{"id":"1803.00953","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-02T17:14:05Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"576abb6c396b1e0ac81178bd81121a8348b672d3a170233bec61a906653c1367","abstract_canon_sha256":"d7121c31931275d75880aa471cd6ae2cdd8c978e4d3920021f9b16b630ca3432"},"schema_version":"1.0"},"canonical_sha256":"e143889ee68b3d886c217c53b9e66f17f1fe42951a8fcd39f4fec9c9a5de31e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:17:46.560373Z","signature_b64":"VaAl8q9ZSkSvZzrUb+lDJTyV32AIRlZbZEMlp8tYjoHemlBKCXfSgeeYp+3LubHDzlh9DGFU+cbBo7RUz2S2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e143889ee68b3d886c217c53b9e66f17f1fe42951a8fcd39f4fec9c9a5de31e5","last_reissued_at":"2026-07-05T00:17:46.559919Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:17:46.559919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.00953","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":"2026-07-05T00:17:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BIC2IqGqw00fLC1n42H23jrrUF1+sStThy+lcLIYoJROBQFYwQ9W/CNns4NNXRL4kZSP9ktLz/cEz7e69/MZAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T18:42:14.923678Z"},"content_sha256":"342608a97558906d5a42711f15b1c91c3fcab2a5943ecf4a963a02e45b74153a","schema_version":"1.0","event_id":"sha256:342608a97558906d5a42711f15b1c91c3fcab2a5943ecf4a963a02e45b74153a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4FBYRHXGRM6YQ3BBPRJ3TZTPC7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A measure theoretic approach to traffic flow optimization on networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.OC","authors_text":"Andrea Tosin, Fabio Camilli, Raul De Maio, Simone Cacace","submitted_at":"2018-03-02T17:14:05Z","abstract_excerpt":"We consider a class of optimal control problems for measure-valued nonlinear transport equations describing traffic flow problems on networks. The objective isto minimise/maximise macroscopic quantities, such as traffic volume or average speed,controlling few agents, for example smart traffic lights and automated cars. The measuretheoretic approach allows to study in a same setting local and nonlocal drivers interactionsand to consider the control variables as additional measures interacting with the driversdistribution. We also propose a gradient descent adjoint-based optimization method, ob-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00953","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1803.00953/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:17:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X9V+bOMottKzdNe1w1VguNe8RK2uuP+p1w3HHcI5pdi383MuvT0HFUYgGcFr6eh6mJ4Oz3AUfeefJospsMguDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T18:42:14.924057Z"},"content_sha256":"43cb09888a2f69d0f97252b4c7dcf37732e63f44b8435a5c86d5d215d92847ae","schema_version":"1.0","event_id":"sha256:43cb09888a2f69d0f97252b4c7dcf37732e63f44b8435a5c86d5d215d92847ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4FBYRHXGRM6YQ3BBPRJ3TZTPC7/bundle.json","state_url":"https://pith.science/pith/4FBYRHXGRM6YQ3BBPRJ3TZTPC7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4FBYRHXGRM6YQ3BBPRJ3TZTPC7/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":"2026-07-06T18:42:14Z","links":{"resolver":"https://pith.science/pith/4FBYRHXGRM6YQ3BBPRJ3TZTPC7","bundle":"https://pith.science/pith/4FBYRHXGRM6YQ3BBPRJ3TZTPC7/bundle.json","state":"https://pith.science/pith/4FBYRHXGRM6YQ3BBPRJ3TZTPC7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4FBYRHXGRM6YQ3BBPRJ3TZTPC7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4FBYRHXGRM6YQ3BBPRJ3TZTPC7","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":"d7121c31931275d75880aa471cd6ae2cdd8c978e4d3920021f9b16b630ca3432","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-02T17:14:05Z","title_canon_sha256":"576abb6c396b1e0ac81178bd81121a8348b672d3a170233bec61a906653c1367"},"schema_version":"1.0","source":{"id":"1803.00953","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00953","created_at":"2026-07-05T00:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00953v1","created_at":"2026-07-05T00:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00953","created_at":"2026-07-05T00:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"4FBYRHXGRM6Y","created_at":"2026-07-05T00:17:46Z"},{"alias_kind":"pith_short_16","alias_value":"4FBYRHXGRM6YQ3BB","created_at":"2026-07-05T00:17:46Z"},{"alias_kind":"pith_short_8","alias_value":"4FBYRHXG","created_at":"2026-07-05T00:17:46Z"}],"graph_snapshots":[{"event_id":"sha256:43cb09888a2f69d0f97252b4c7dcf37732e63f44b8435a5c86d5d215d92847ae","target":"graph","created_at":"2026-07-05T00:17:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1803.00953/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a class of optimal control problems for measure-valued nonlinear transport equations describing traffic flow problems on networks. The objective isto minimise/maximise macroscopic quantities, such as traffic volume or average speed,controlling few agents, for example smart traffic lights and automated cars. The measuretheoretic approach allows to study in a same setting local and nonlocal drivers interactionsand to consider the control variables as additional measures interacting with the driversdistribution. We also propose a gradient descent adjoint-based optimization method, ob-","authors_text":"Andrea Tosin, Fabio Camilli, Raul De Maio, Simone Cacace","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-02T17:14:05Z","title":"A measure theoretic approach to traffic flow optimization on networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00953","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":"sha256:342608a97558906d5a42711f15b1c91c3fcab2a5943ecf4a963a02e45b74153a","target":"record","created_at":"2026-07-05T00:17:46Z","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":"d7121c31931275d75880aa471cd6ae2cdd8c978e4d3920021f9b16b630ca3432","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-02T17:14:05Z","title_canon_sha256":"576abb6c396b1e0ac81178bd81121a8348b672d3a170233bec61a906653c1367"},"schema_version":"1.0","source":{"id":"1803.00953","kind":"arxiv","version":1}},"canonical_sha256":"e143889ee68b3d886c217c53b9e66f17f1fe42951a8fcd39f4fec9c9a5de31e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e143889ee68b3d886c217c53b9e66f17f1fe42951a8fcd39f4fec9c9a5de31e5","first_computed_at":"2026-07-05T00:17:46.559919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:17:46.559919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VaAl8q9ZSkSvZzrUb+lDJTyV32AIRlZbZEMlp8tYjoHemlBKCXfSgeeYp+3LubHDzlh9DGFU+cbBo7RUz2S2DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:17:46.560373Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.00953","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:342608a97558906d5a42711f15b1c91c3fcab2a5943ecf4a963a02e45b74153a","sha256:43cb09888a2f69d0f97252b4c7dcf37732e63f44b8435a5c86d5d215d92847ae"],"state_sha256":"866681b3b520f33a2b3079793cbdac3199fa29647ecbe24991a0ddc574baf46c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2YQB8x+2h2yBtSTy6P9sub0R7traEyf/j2rsBi9JlpNwIhI/eZTrbUOUZvlfn1+cw2a++zJCHHG5X9D4+bezDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T18:42:14.926079Z","bundle_sha256":"9cdaba79fa45057fbc669c778d73ef7252d6dc69fa1bac880b5b703765ad7fb6"}}