{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ARV4KONUM56EKQANV6TLGJZ6PR","short_pith_number":"pith:ARV4KONU","canonical_record":{"source":{"id":"1602.07251","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-02-23T18:00:24Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"a61a96113ca8bfd420e84faa9b5374434f052f86f22d86168467b7ce34144132","abstract_canon_sha256":"4b3f91cc0854dab1657f2354424c06512e99602c903feaa7921b34a1dd25980c"},"schema_version":"1.0"},"canonical_sha256":"046bc539b4677c45400dafa6b3273e7c6a3e881eaa0dabf8040247e59a0ee7aa","source":{"kind":"arxiv","id":"1602.07251","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07251","created_at":"2026-05-18T01:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07251v1","created_at":"2026-05-18T01:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07251","created_at":"2026-05-18T01:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"ARV4KONUM56E","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"ARV4KONUM56EKQAN","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"ARV4KONU","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ARV4KONUM56EKQANV6TLGJZ6PR","target":"record","payload":{"canonical_record":{"source":{"id":"1602.07251","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-02-23T18:00:24Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"a61a96113ca8bfd420e84faa9b5374434f052f86f22d86168467b7ce34144132","abstract_canon_sha256":"4b3f91cc0854dab1657f2354424c06512e99602c903feaa7921b34a1dd25980c"},"schema_version":"1.0"},"canonical_sha256":"046bc539b4677c45400dafa6b3273e7c6a3e881eaa0dabf8040247e59a0ee7aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:06.839009Z","signature_b64":"Yj+l+SYvnSjtlGQzh1xvOXN5Fye3FX5fzRmVW7YKlNeVfVSIkFXLKr7frS01KJgPKEKVWrAxGtwbFR6S1zlHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"046bc539b4677c45400dafa6b3273e7c6a3e881eaa0dabf8040247e59a0ee7aa","last_reissued_at":"2026-05-18T01:20:06.838415Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:06.838415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.07251","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":"2026-05-18T01:20:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X0KhnTkJtUgRs/7BDoTLtNO5ifOoaZNRiD6WxQblBlUSXlDUyp4Pn7DJmFeVRhj/vxIxA5dm2Lig2ZK9QZYBBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:32:56.703895Z"},"content_sha256":"a2a8ee84e4b2a1880ac04115ef4721518fb20cca58140a6fee7555845af2cdbc","schema_version":"1.0","event_id":"sha256:a2a8ee84e4b2a1880ac04115ef4721518fb20cca58140a6fee7555845af2cdbc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ARV4KONUM56EKQANV6TLGJZ6PR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A particle approximation for the relativistic Vlasov-Maxwell dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Dustin Lazarovici","submitted_at":"2016-02-23T18:00:24Z","abstract_excerpt":"We present a microscopic derivation of the 3-dimensional relativistic Vlasov-Maxwell system as a combined mean field and point-particle limit of an $N$-particle system of rigid charges with $N$-dependent radius. The approximation holds for typical initial particle configurations, implying in particular propagation of chaos for the respective dynamics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07251","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":"2026-05-18T01:20:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wd5xWULO3xGAosSOlQaNxyfQAoVDt4KJYns74RLqPtDSfX07V7AoDtxJJLt1Z4iLlAg8c4bg07LYqAe4RvHOCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:32:56.704227Z"},"content_sha256":"d45d9f5ef3fcebbc897ab2c501927f107c049b888ee853db42665fb658752018","schema_version":"1.0","event_id":"sha256:d45d9f5ef3fcebbc897ab2c501927f107c049b888ee853db42665fb658752018"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ARV4KONUM56EKQANV6TLGJZ6PR/bundle.json","state_url":"https://pith.science/pith/ARV4KONUM56EKQANV6TLGJZ6PR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ARV4KONUM56EKQANV6TLGJZ6PR/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":"2026-06-22T13:32:56Z","links":{"resolver":"https://pith.science/pith/ARV4KONUM56EKQANV6TLGJZ6PR","bundle":"https://pith.science/pith/ARV4KONUM56EKQANV6TLGJZ6PR/bundle.json","state":"https://pith.science/pith/ARV4KONUM56EKQANV6TLGJZ6PR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ARV4KONUM56EKQANV6TLGJZ6PR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ARV4KONUM56EKQANV6TLGJZ6PR","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":"4b3f91cc0854dab1657f2354424c06512e99602c903feaa7921b34a1dd25980c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-02-23T18:00:24Z","title_canon_sha256":"a61a96113ca8bfd420e84faa9b5374434f052f86f22d86168467b7ce34144132"},"schema_version":"1.0","source":{"id":"1602.07251","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07251","created_at":"2026-05-18T01:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07251v1","created_at":"2026-05-18T01:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07251","created_at":"2026-05-18T01:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"ARV4KONUM56E","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"ARV4KONUM56EKQAN","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"ARV4KONU","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:d45d9f5ef3fcebbc897ab2c501927f107c049b888ee853db42665fb658752018","target":"graph","created_at":"2026-05-18T01:20:06Z","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 present a microscopic derivation of the 3-dimensional relativistic Vlasov-Maxwell system as a combined mean field and point-particle limit of an $N$-particle system of rigid charges with $N$-dependent radius. The approximation holds for typical initial particle configurations, implying in particular propagation of chaos for the respective dynamics.","authors_text":"Dustin Lazarovici","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-02-23T18:00:24Z","title":"A particle approximation for the relativistic Vlasov-Maxwell dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07251","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:a2a8ee84e4b2a1880ac04115ef4721518fb20cca58140a6fee7555845af2cdbc","target":"record","created_at":"2026-05-18T01:20:06Z","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":"4b3f91cc0854dab1657f2354424c06512e99602c903feaa7921b34a1dd25980c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-02-23T18:00:24Z","title_canon_sha256":"a61a96113ca8bfd420e84faa9b5374434f052f86f22d86168467b7ce34144132"},"schema_version":"1.0","source":{"id":"1602.07251","kind":"arxiv","version":1}},"canonical_sha256":"046bc539b4677c45400dafa6b3273e7c6a3e881eaa0dabf8040247e59a0ee7aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"046bc539b4677c45400dafa6b3273e7c6a3e881eaa0dabf8040247e59a0ee7aa","first_computed_at":"2026-05-18T01:20:06.838415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:06.838415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yj+l+SYvnSjtlGQzh1xvOXN5Fye3FX5fzRmVW7YKlNeVfVSIkFXLKr7frS01KJgPKEKVWrAxGtwbFR6S1zlHDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:06.839009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.07251","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2a8ee84e4b2a1880ac04115ef4721518fb20cca58140a6fee7555845af2cdbc","sha256:d45d9f5ef3fcebbc897ab2c501927f107c049b888ee853db42665fb658752018"],"state_sha256":"5e9ac9de4445a06ef218027a169a54ce520b907cd3cf4651befe88267b673c45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eRD5wpEgBMSuwgS4nnAwBawkxiMVY/ufNJZPGnm0QjQbohlaIJJjdm1iHw4H1UktGpwuIo2UZkbGsaI2IQYxCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T13:32:56.706125Z","bundle_sha256":"4ca7d2217078f12b4fec42a9df0de5f29f46e2d71095a35531f38d354dcc6d4c"}}