{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2HXUBBMMSUJYSMMF3EIX7WXFZL","short_pith_number":"pith:2HXUBBMM","canonical_record":{"source":{"id":"2608.04104","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-08-04T18:01:09Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"039a52752c7c8da5acbc706d1e53b365f23375a8d0158b6f505e2450ddf5fba1","abstract_canon_sha256":"e9f62c44b2d41ec3282d583c55a08dcc6864853c2eafc7c59da6d940992c8226"},"schema_version":"1.0"},"canonical_sha256":"d1ef40858c9513893185d9117fdae5cae748ebe1ad16e4b12d710e299f5555a6","source":{"kind":"arxiv","id":"2608.04104","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.04104","created_at":"2026-08-06T01:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"2608.04104v1","created_at":"2026-08-06T01:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.04104","created_at":"2026-08-06T01:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"2HXUBBMMSUJY","created_at":"2026-08-06T01:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"2HXUBBMMSUJYSMMF","created_at":"2026-08-06T01:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"2HXUBBMM","created_at":"2026-08-06T01:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2HXUBBMMSUJYSMMF3EIX7WXFZL","target":"record","payload":{"canonical_record":{"source":{"id":"2608.04104","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-08-04T18:01:09Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"039a52752c7c8da5acbc706d1e53b365f23375a8d0158b6f505e2450ddf5fba1","abstract_canon_sha256":"e9f62c44b2d41ec3282d583c55a08dcc6864853c2eafc7c59da6d940992c8226"},"schema_version":"1.0"},"canonical_sha256":"d1ef40858c9513893185d9117fdae5cae748ebe1ad16e4b12d710e299f5555a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-06T01:30:04.392632Z","signature_b64":"Hlxac83HKk5Rzimdl9AS+544G1pw5A4sGqF+72Zhae/1g7gDgMTCRU+5x2NcPg317Z2HJwrHFL939i+UGQpFDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1ef40858c9513893185d9117fdae5cae748ebe1ad16e4b12d710e299f5555a6","last_reissued_at":"2026-08-06T01:30:04.390828Z","signature_status":"signed_v1","first_computed_at":"2026-08-06T01:30:04.390828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.04104","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":"2026-08-06T01:30:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7bkGneojye8oNaG8ESNwwHIUrImo/5wCpcNsFO2QQAHDN/6H9EREpF+hD2tuofqNJ5cExlynzUl2KLQ1kU6vBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T02:35:36.616425Z"},"content_sha256":"20404aad45e3d65548c99b28215ad4c92a6a664478f78f52a5ab0893870a68c9","schema_version":"1.0","event_id":"sha256:20404aad45e3d65548c99b28215ad4c92a6a664478f78f52a5ab0893870a68c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2HXUBBMMSUJYSMMF3EIX7WXFZL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derivation of 2D Vlasov-Poisson for classical particles with Coulomb interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Mitia Duerinckx, Pierre-Emmanuel Jabin","submitted_at":"2026-08-04T18:01:09Z","abstract_excerpt":"We obtain the first derivation of the 2D Vlasov-Poisson equation for classical particles with Coulomb interactions without any microscopic cutoff. The proof relies on our recent dual hierarchical approach to mean-field limits, together with a refined analysis of dual BBGKY hierarchies on linearized correlations, based on kinetic regularization effects. The result holds more generally for arbitrary singular interaction forces $K\\in L^{2-\\eta}_{loc}$ with $\\eta>0$ small enough, in any dimension, and it extends to Brownian particles. It holds globally in time as long as the mean-field solution is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.04104","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/2608.04104/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":"2026-08-06T01:30:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fud/o+IuWAyv+kdk78ls9GX7qMMlGhjiEX+8XFWOZ5m3b8EKNhQ5r7z6yKulVBvtEUSu81ph2HVUAPlVpWcTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T02:35:36.617109Z"},"content_sha256":"0754a73ce12ac771b350f81643428a85ea9f9d08b5771542bb761c75522f3a0a","schema_version":"1.0","event_id":"sha256:0754a73ce12ac771b350f81643428a85ea9f9d08b5771542bb761c75522f3a0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2HXUBBMMSUJYSMMF3EIX7WXFZL/bundle.json","state_url":"https://pith.science/pith/2HXUBBMMSUJYSMMF3EIX7WXFZL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2HXUBBMMSUJYSMMF3EIX7WXFZL/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":"2026-08-18T02:35:36Z","links":{"resolver":"https://pith.science/pith/2HXUBBMMSUJYSMMF3EIX7WXFZL","bundle":"https://pith.science/pith/2HXUBBMMSUJYSMMF3EIX7WXFZL/bundle.json","state":"https://pith.science/pith/2HXUBBMMSUJYSMMF3EIX7WXFZL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2HXUBBMMSUJYSMMF3EIX7WXFZL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2HXUBBMMSUJYSMMF3EIX7WXFZL","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":"e9f62c44b2d41ec3282d583c55a08dcc6864853c2eafc7c59da6d940992c8226","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-08-04T18:01:09Z","title_canon_sha256":"039a52752c7c8da5acbc706d1e53b365f23375a8d0158b6f505e2450ddf5fba1"},"schema_version":"1.0","source":{"id":"2608.04104","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.04104","created_at":"2026-08-06T01:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"2608.04104v1","created_at":"2026-08-06T01:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.04104","created_at":"2026-08-06T01:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"2HXUBBMMSUJY","created_at":"2026-08-06T01:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"2HXUBBMMSUJYSMMF","created_at":"2026-08-06T01:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"2HXUBBMM","created_at":"2026-08-06T01:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:0754a73ce12ac771b350f81643428a85ea9f9d08b5771542bb761c75522f3a0a","target":"graph","created_at":"2026-08-06T01:30:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.04104/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We obtain the first derivation of the 2D Vlasov-Poisson equation for classical particles with Coulomb interactions without any microscopic cutoff. The proof relies on our recent dual hierarchical approach to mean-field limits, together with a refined analysis of dual BBGKY hierarchies on linearized correlations, based on kinetic regularization effects. The result holds more generally for arbitrary singular interaction forces $K\\in L^{2-\\eta}_{loc}$ with $\\eta>0$ small enough, in any dimension, and it extends to Brownian particles. It holds globally in time as long as the mean-field solution is","authors_text":"Mitia Duerinckx, Pierre-Emmanuel Jabin","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-08-04T18:01:09Z","title":"Derivation of 2D Vlasov-Poisson for classical particles with Coulomb interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.04104","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":"sha256:20404aad45e3d65548c99b28215ad4c92a6a664478f78f52a5ab0893870a68c9","target":"record","created_at":"2026-08-06T01:30:04Z","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":"e9f62c44b2d41ec3282d583c55a08dcc6864853c2eafc7c59da6d940992c8226","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-08-04T18:01:09Z","title_canon_sha256":"039a52752c7c8da5acbc706d1e53b365f23375a8d0158b6f505e2450ddf5fba1"},"schema_version":"1.0","source":{"id":"2608.04104","kind":"arxiv","version":1}},"canonical_sha256":"d1ef40858c9513893185d9117fdae5cae748ebe1ad16e4b12d710e299f5555a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1ef40858c9513893185d9117fdae5cae748ebe1ad16e4b12d710e299f5555a6","first_computed_at":"2026-08-06T01:30:04.390828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-06T01:30:04.390828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hlxac83HKk5Rzimdl9AS+544G1pw5A4sGqF+72Zhae/1g7gDgMTCRU+5x2NcPg317Z2HJwrHFL939i+UGQpFDQ==","signature_status":"signed_v1","signed_at":"2026-08-06T01:30:04.392632Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.04104","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20404aad45e3d65548c99b28215ad4c92a6a664478f78f52a5ab0893870a68c9","sha256:0754a73ce12ac771b350f81643428a85ea9f9d08b5771542bb761c75522f3a0a"],"state_sha256":"726b736be4dc4aa260b0c2c61f71fc004ff6a5ef48ffae6f354d1eb2e0830c4d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NQJnZZJThfASvDasBYTW9YMhk0VJcQ+fZLZPbdEKDPiLycu767/CbVDS8/NR8GuCU0oQgYG1egXhulyZWQNLCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T02:35:36.623645Z","bundle_sha256":"2e5d4540937145eb3748c2c35440e0fe8c7f61c1ec5b9051888519db930f0a50"}}