{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:76DLISLESLARPLJCF4ONLOIKIB","short_pith_number":"pith:76DLISLE","canonical_record":{"source":{"id":"1403.2584","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-11T14:32:39Z","cross_cats_sorted":[],"title_canon_sha256":"d677b0e3ee7b29552e5a4bddb42f120bfdce948fcbde5d00e66a7471d8f726ba","abstract_canon_sha256":"a4c64cdfe5bb7e25f741b274f1eff61a2d726eacd03f1a45a9686f31fd6a5a2e"},"schema_version":"1.0"},"canonical_sha256":"ff86b4496492c117ad222f1cd5b90a40611b3b0d7c54d5a29d57904b5b06ecae","source":{"kind":"arxiv","id":"1403.2584","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2584","created_at":"2026-05-18T01:44:08Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2584v1","created_at":"2026-05-18T01:44:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2584","created_at":"2026-05-18T01:44:08Z"},{"alias_kind":"pith_short_12","alias_value":"76DLISLESLAR","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"76DLISLESLARPLJC","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"76DLISLE","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:76DLISLESLARPLJCF4ONLOIKIB","target":"record","payload":{"canonical_record":{"source":{"id":"1403.2584","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-11T14:32:39Z","cross_cats_sorted":[],"title_canon_sha256":"d677b0e3ee7b29552e5a4bddb42f120bfdce948fcbde5d00e66a7471d8f726ba","abstract_canon_sha256":"a4c64cdfe5bb7e25f741b274f1eff61a2d726eacd03f1a45a9686f31fd6a5a2e"},"schema_version":"1.0"},"canonical_sha256":"ff86b4496492c117ad222f1cd5b90a40611b3b0d7c54d5a29d57904b5b06ecae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:08.929594Z","signature_b64":"QKGq2R32JmXkLKasMljBD5WF6sHhLVCX2pSHImuv6WViQ8Z9+n63t//9iJSz/hS9GkUUOs2AdWPhdDRsMIdTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff86b4496492c117ad222f1cd5b90a40611b3b0d7c54d5a29d57904b5b06ecae","last_reissued_at":"2026-05-18T01:44:08.928936Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:08.928936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.2584","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":"2026-05-18T01:44:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FjgT3vjx5VsfEpUalBw5Rvwfa1ugRwljU5V1Wi1/R5/m3VLAC1sNRfqQzhcjeuIy8WhhGjXiRfjJjXyb3F7rCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:01:47.470496Z"},"content_sha256":"0942bd669839140a0197fc0d421b7844fbb5d23f1b9979334a5bffb4f30e9e26","schema_version":"1.0","event_id":"sha256:0942bd669839140a0197fc0d421b7844fbb5d23f1b9979334a5bffb4f30e9e26"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:76DLISLESLARPLJCF4ONLOIKIB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Vlasov-Poisson-Boltzmann system for the whole range of cutoff soft potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Huijiang Zhao, Linjie Xiong, Qinghua Xiao","submitted_at":"2014-03-11T14:32:39Z","abstract_excerpt":"The dynamics of dilute electrons can be modeled by the fundamental one-species Vlasov-Poisson-Boltzmann system which describes mutual interactions of the electrons through collisions in the self-consistent electrostatic field. For cutoff intermolecular interactions, although there are some progress on the construction of global smooth solutions to its Cauchy problem near Maxwellians recently, the problem for the case of very soft potentials remains unsolved. By introducing a new time-velocity weighted energy method and based on some new optimal temporal decay estimates on the solution itself a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2584","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":"2026-05-18T01:44:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3z/7zx0GgzkUgyD+47bri17FD2tNUsQDVkKQWytXFqzl+qJsagO0fDMNoq0SiE15WNf7wg+9az1Mj1Yx/DsKCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:01:47.471171Z"},"content_sha256":"434b3981f7bcb37512072051f3f0aa5e12799c75b4e17556f2c35d10cd0cb75e","schema_version":"1.0","event_id":"sha256:434b3981f7bcb37512072051f3f0aa5e12799c75b4e17556f2c35d10cd0cb75e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/76DLISLESLARPLJCF4ONLOIKIB/bundle.json","state_url":"https://pith.science/pith/76DLISLESLARPLJCF4ONLOIKIB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/76DLISLESLARPLJCF4ONLOIKIB/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":"2026-05-26T07:01:47Z","links":{"resolver":"https://pith.science/pith/76DLISLESLARPLJCF4ONLOIKIB","bundle":"https://pith.science/pith/76DLISLESLARPLJCF4ONLOIKIB/bundle.json","state":"https://pith.science/pith/76DLISLESLARPLJCF4ONLOIKIB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/76DLISLESLARPLJCF4ONLOIKIB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:76DLISLESLARPLJCF4ONLOIKIB","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":"a4c64cdfe5bb7e25f741b274f1eff61a2d726eacd03f1a45a9686f31fd6a5a2e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-11T14:32:39Z","title_canon_sha256":"d677b0e3ee7b29552e5a4bddb42f120bfdce948fcbde5d00e66a7471d8f726ba"},"schema_version":"1.0","source":{"id":"1403.2584","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2584","created_at":"2026-05-18T01:44:08Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2584v1","created_at":"2026-05-18T01:44:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2584","created_at":"2026-05-18T01:44:08Z"},{"alias_kind":"pith_short_12","alias_value":"76DLISLESLAR","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"76DLISLESLARPLJC","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"76DLISLE","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:434b3981f7bcb37512072051f3f0aa5e12799c75b4e17556f2c35d10cd0cb75e","target":"graph","created_at":"2026-05-18T01:44:08Z","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 dynamics of dilute electrons can be modeled by the fundamental one-species Vlasov-Poisson-Boltzmann system which describes mutual interactions of the electrons through collisions in the self-consistent electrostatic field. For cutoff intermolecular interactions, although there are some progress on the construction of global smooth solutions to its Cauchy problem near Maxwellians recently, the problem for the case of very soft potentials remains unsolved. By introducing a new time-velocity weighted energy method and based on some new optimal temporal decay estimates on the solution itself a","authors_text":"Huijiang Zhao, Linjie Xiong, Qinghua Xiao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-11T14:32:39Z","title":"The Vlasov-Poisson-Boltzmann system for the whole range of cutoff soft potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2584","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":"sha256:0942bd669839140a0197fc0d421b7844fbb5d23f1b9979334a5bffb4f30e9e26","target":"record","created_at":"2026-05-18T01:44:08Z","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":"a4c64cdfe5bb7e25f741b274f1eff61a2d726eacd03f1a45a9686f31fd6a5a2e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-11T14:32:39Z","title_canon_sha256":"d677b0e3ee7b29552e5a4bddb42f120bfdce948fcbde5d00e66a7471d8f726ba"},"schema_version":"1.0","source":{"id":"1403.2584","kind":"arxiv","version":1}},"canonical_sha256":"ff86b4496492c117ad222f1cd5b90a40611b3b0d7c54d5a29d57904b5b06ecae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff86b4496492c117ad222f1cd5b90a40611b3b0d7c54d5a29d57904b5b06ecae","first_computed_at":"2026-05-18T01:44:08.928936Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:08.928936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QKGq2R32JmXkLKasMljBD5WF6sHhLVCX2pSHImuv6WViQ8Z9+n63t//9iJSz/hS9GkUUOs2AdWPhdDRsMIdTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:08.929594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2584","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0942bd669839140a0197fc0d421b7844fbb5d23f1b9979334a5bffb4f30e9e26","sha256:434b3981f7bcb37512072051f3f0aa5e12799c75b4e17556f2c35d10cd0cb75e"],"state_sha256":"fab4ad326efe3989764df313883edd1ce68e461477e5e3f4bf960dea66a61547"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DVR8+K6TWQ4Dytd2wHt98rn+SJ5HMjkcQIjytT9JiQ+DiH1c5iKK8nUrVvONU86M9ELsahEWbIGVaYwqQIMoCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:01:47.474787Z","bundle_sha256":"951931d4a9876d8075d55fc8a97cbbb1dd5e0d73e3420bdedc3947c625c85335"}}