{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:XDDO4QB3OJQCDOVHDMGYAPR7HU","short_pith_number":"pith:XDDO4QB3","canonical_record":{"source":{"id":"1611.01977","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-07T10:32:42Z","cross_cats_sorted":[],"title_canon_sha256":"0339981573edbd79a0d65fac7c2416156c140c0465459ea5fb1596cfcc1c5ace","abstract_canon_sha256":"53ccf5418989ab6eb71b2f576efabd3668f16880dd098baaf731520ea727dc47"},"schema_version":"1.0"},"canonical_sha256":"b8c6ee403b726021baa71b0d803e3f3d062513ee929c896acefe8b96f8b5177d","source":{"kind":"arxiv","id":"1611.01977","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.01977","created_at":"2026-05-18T01:00:04Z"},{"alias_kind":"arxiv_version","alias_value":"1611.01977v1","created_at":"2026-05-18T01:00:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01977","created_at":"2026-05-18T01:00:04Z"},{"alias_kind":"pith_short_12","alias_value":"XDDO4QB3OJQC","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XDDO4QB3OJQCDOVH","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XDDO4QB3","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:XDDO4QB3OJQCDOVHDMGYAPR7HU","target":"record","payload":{"canonical_record":{"source":{"id":"1611.01977","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-07T10:32:42Z","cross_cats_sorted":[],"title_canon_sha256":"0339981573edbd79a0d65fac7c2416156c140c0465459ea5fb1596cfcc1c5ace","abstract_canon_sha256":"53ccf5418989ab6eb71b2f576efabd3668f16880dd098baaf731520ea727dc47"},"schema_version":"1.0"},"canonical_sha256":"b8c6ee403b726021baa71b0d803e3f3d062513ee929c896acefe8b96f8b5177d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:04.048891Z","signature_b64":"lfaT4jSXmL95H5y38hrLv3JsDi63pc0yr/3/Jkf6HWy1GNSdmQoREDAlbasb8hq+bmWU0iKMf5K/m2dNdgocDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8c6ee403b726021baa71b0d803e3f3d062513ee929c896acefe8b96f8b5177d","last_reissued_at":"2026-05-18T01:00:04.048252Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:04.048252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.01977","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":"2026-05-18T01:00:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tzHVOCZMmVftbfzddc+DEN6ASCam5QI/R18aNhHaCHCbjKtaK5vUFgTuUfBpDrUJthiPAlnH6DF8jjD0iTPTAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T07:17:59.896832Z"},"content_sha256":"3b4f3d74afbb6252e35a01aed8d90d2ae4f9df5b7afdceadea89795528b0fed7","schema_version":"1.0","event_id":"sha256:3b4f3d74afbb6252e35a01aed8d90d2ae4f9df5b7afdceadea89795528b0fed7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:XDDO4QB3OJQCDOVHDMGYAPR7HU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flux-limited and classical viscosity solutions for regional control problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ariela Briani (FRDP, Cyril Imbert (DMA), Emmanuel Chasseigne (FRDP, Guy Barles (FRDP, LMPT)","submitted_at":"2016-11-07T10:32:42Z","abstract_excerpt":"The aim of this paper is to compare two different approaches for regional control problems: the first one is the classical approach, using a standard notion of viscosity solutions, which is developed in a series of works by the three first authors. The second one is more recent and relies on ideas introduced by Monneau and the fourth author for problems set on networks in another series of works, in particular the notion of flux-limited solutions. After describing and even revisiting these two very different points of view in the simplest possible framework, we show how the results of the clas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01977","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":"2026-05-18T01:00:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3SjY9AVTtIATq/CB63qoWdX1O4Sg8xmE9swG7m21QsSeOiH1hbeXYjYtuJPoqnZwNytjRHYRBgpaUXwwh0XcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T07:17:59.897179Z"},"content_sha256":"07e1faba487af80f86a2fc753103046349c78ae7ee67b362f0da778607ff7fad","schema_version":"1.0","event_id":"sha256:07e1faba487af80f86a2fc753103046349c78ae7ee67b362f0da778607ff7fad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XDDO4QB3OJQCDOVHDMGYAPR7HU/bundle.json","state_url":"https://pith.science/pith/XDDO4QB3OJQCDOVHDMGYAPR7HU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XDDO4QB3OJQCDOVHDMGYAPR7HU/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":"2026-06-25T07:17:59Z","links":{"resolver":"https://pith.science/pith/XDDO4QB3OJQCDOVHDMGYAPR7HU","bundle":"https://pith.science/pith/XDDO4QB3OJQCDOVHDMGYAPR7HU/bundle.json","state":"https://pith.science/pith/XDDO4QB3OJQCDOVHDMGYAPR7HU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XDDO4QB3OJQCDOVHDMGYAPR7HU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:XDDO4QB3OJQCDOVHDMGYAPR7HU","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":"53ccf5418989ab6eb71b2f576efabd3668f16880dd098baaf731520ea727dc47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-07T10:32:42Z","title_canon_sha256":"0339981573edbd79a0d65fac7c2416156c140c0465459ea5fb1596cfcc1c5ace"},"schema_version":"1.0","source":{"id":"1611.01977","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.01977","created_at":"2026-05-18T01:00:04Z"},{"alias_kind":"arxiv_version","alias_value":"1611.01977v1","created_at":"2026-05-18T01:00:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01977","created_at":"2026-05-18T01:00:04Z"},{"alias_kind":"pith_short_12","alias_value":"XDDO4QB3OJQC","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"XDDO4QB3OJQCDOVH","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"XDDO4QB3","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:07e1faba487af80f86a2fc753103046349c78ae7ee67b362f0da778607ff7fad","target":"graph","created_at":"2026-05-18T01:00:04Z","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":"The aim of this paper is to compare two different approaches for regional control problems: the first one is the classical approach, using a standard notion of viscosity solutions, which is developed in a series of works by the three first authors. The second one is more recent and relies on ideas introduced by Monneau and the fourth author for problems set on networks in another series of works, in particular the notion of flux-limited solutions. After describing and even revisiting these two very different points of view in the simplest possible framework, we show how the results of the clas","authors_text":"Ariela Briani (FRDP, Cyril Imbert (DMA), Emmanuel Chasseigne (FRDP, Guy Barles (FRDP, LMPT)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-07T10:32:42Z","title":"Flux-limited and classical viscosity solutions for regional control problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01977","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":"sha256:3b4f3d74afbb6252e35a01aed8d90d2ae4f9df5b7afdceadea89795528b0fed7","target":"record","created_at":"2026-05-18T01:00:04Z","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":"53ccf5418989ab6eb71b2f576efabd3668f16880dd098baaf731520ea727dc47","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-07T10:32:42Z","title_canon_sha256":"0339981573edbd79a0d65fac7c2416156c140c0465459ea5fb1596cfcc1c5ace"},"schema_version":"1.0","source":{"id":"1611.01977","kind":"arxiv","version":1}},"canonical_sha256":"b8c6ee403b726021baa71b0d803e3f3d062513ee929c896acefe8b96f8b5177d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8c6ee403b726021baa71b0d803e3f3d062513ee929c896acefe8b96f8b5177d","first_computed_at":"2026-05-18T01:00:04.048252Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:04.048252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lfaT4jSXmL95H5y38hrLv3JsDi63pc0yr/3/Jkf6HWy1GNSdmQoREDAlbasb8hq+bmWU0iKMf5K/m2dNdgocDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:04.048891Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.01977","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b4f3d74afbb6252e35a01aed8d90d2ae4f9df5b7afdceadea89795528b0fed7","sha256:07e1faba487af80f86a2fc753103046349c78ae7ee67b362f0da778607ff7fad"],"state_sha256":"8a59bd29f38784898aaf7fc379db95f0650bdc1c36114145d40975e2877c8522"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XjLH/6SWKvy72EDUuoTFo3qtRyLEbxV43qefNERvgjoAV6P43qd8HyONpBu66zUettqPtWFgkTNrTTFYlSwiDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T07:17:59.899164Z","bundle_sha256":"c2779d0a14f55933caeccf843f0b17c08c39f30f720ea909526782cf8c16e54b"}}