{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5AVJA3XRUXUYVRRCZ2HHLJDZTJ","short_pith_number":"pith:5AVJA3XR","canonical_record":{"source":{"id":"1412.0253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-30T18:04:03Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"23f0fd54fd9b2d590895292c2f0ace294dbcf9b0b729ad1bdfc12a4bfdf16739","abstract_canon_sha256":"35758815f750fc4550fcbc1cb7763dbad18b620d39ea50f4a8d7f15ae6b0adc7"},"schema_version":"1.0"},"canonical_sha256":"e82a906ef1a5e98ac622ce8e75a4799a6042f7af4c22d785a5a5b9fd27bfe4c1","source":{"kind":"arxiv","id":"1412.0253","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0253","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0253v1","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0253","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"pith_short_12","alias_value":"5AVJA3XRUXUY","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5AVJA3XRUXUYVRRC","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5AVJA3XR","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5AVJA3XRUXUYVRRCZ2HHLJDZTJ","target":"record","payload":{"canonical_record":{"source":{"id":"1412.0253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-30T18:04:03Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"23f0fd54fd9b2d590895292c2f0ace294dbcf9b0b729ad1bdfc12a4bfdf16739","abstract_canon_sha256":"35758815f750fc4550fcbc1cb7763dbad18b620d39ea50f4a8d7f15ae6b0adc7"},"schema_version":"1.0"},"canonical_sha256":"e82a906ef1a5e98ac622ce8e75a4799a6042f7af4c22d785a5a5b9fd27bfe4c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:38.174539Z","signature_b64":"2jPZiFYbfKwA2WyaP7Tt13lS35XZinBe2WD23HMq+pgGVNrBM5xYojRPEEYtqGaeFfos8X1KJUFHzC93F6PqDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e82a906ef1a5e98ac622ce8e75a4799a6042f7af4c22d785a5a5b9fd27bfe4c1","last_reissued_at":"2026-05-18T01:59:38.173932Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:38.173932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.0253","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":"2026-05-18T01:59:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VIFHSM/T7iNsXCnza7xh6m6DPMerkRs40rjoQg8IjJXQnDspGAPGQORcBH9wT0F23Yuuu97LFXalsMZD+Lv2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:45:38.888876Z"},"content_sha256":"78d9f9373a282a54ab376f1406f05d56e6e091a84b955f429abd30a3006971e2","schema_version":"1.0","event_id":"sha256:78d9f9373a282a54ab376f1406f05d56e6e091a84b955f429abd30a3006971e2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5AVJA3XRUXUYVRRCZ2HHLJDZTJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"De Newton \\`a Boltzmann et Einstein: validation des mod\\`eles cin\\'etiques et de diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Fran\\c{c}ois Golse","submitted_at":"2014-11-30T18:04:03Z","abstract_excerpt":"The kinetic theory of Maxwell and Boltzmann has been the subject of major scientific controversies. The alleged incompatibility between the reversible nature of the equations of classical mechanics and the increase of entropy, which, in the kinetic theory of gases, is a mathematical property of the Boltzmann equation known as the H Theorem, was one of the most basic arguments against the validity of kinetic theory. About a century later, in 1974, O. Lanford proposed a strategy to prove that the Boltzmann equation describes a particular asymptotic limit of Newton's equations of classical mechan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0253","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":"2026-05-18T01:59:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kmw6ugJS5+XSU1OPCuiMj6tQsejbmfBQBWwHZp4m609kUW9NeKeC14UnVoeEdUIT8I6/M9ANL7vyRRB/jSntAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:45:38.889613Z"},"content_sha256":"3f798df1d1147d387a19ccd7ed9b8ba99c0dc6c14f82544c30287caf8dd1f583","schema_version":"1.0","event_id":"sha256:3f798df1d1147d387a19ccd7ed9b8ba99c0dc6c14f82544c30287caf8dd1f583"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5AVJA3XRUXUYVRRCZ2HHLJDZTJ/bundle.json","state_url":"https://pith.science/pith/5AVJA3XRUXUYVRRCZ2HHLJDZTJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5AVJA3XRUXUYVRRCZ2HHLJDZTJ/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":"2026-05-31T19:45:38Z","links":{"resolver":"https://pith.science/pith/5AVJA3XRUXUYVRRCZ2HHLJDZTJ","bundle":"https://pith.science/pith/5AVJA3XRUXUYVRRCZ2HHLJDZTJ/bundle.json","state":"https://pith.science/pith/5AVJA3XRUXUYVRRCZ2HHLJDZTJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5AVJA3XRUXUYVRRCZ2HHLJDZTJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5AVJA3XRUXUYVRRCZ2HHLJDZTJ","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":"35758815f750fc4550fcbc1cb7763dbad18b620d39ea50f4a8d7f15ae6b0adc7","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-30T18:04:03Z","title_canon_sha256":"23f0fd54fd9b2d590895292c2f0ace294dbcf9b0b729ad1bdfc12a4bfdf16739"},"schema_version":"1.0","source":{"id":"1412.0253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0253","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0253v1","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0253","created_at":"2026-05-18T01:59:38Z"},{"alias_kind":"pith_short_12","alias_value":"5AVJA3XRUXUY","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5AVJA3XRUXUYVRRC","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5AVJA3XR","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:3f798df1d1147d387a19ccd7ed9b8ba99c0dc6c14f82544c30287caf8dd1f583","target":"graph","created_at":"2026-05-18T01:59:38Z","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 kinetic theory of Maxwell and Boltzmann has been the subject of major scientific controversies. The alleged incompatibility between the reversible nature of the equations of classical mechanics and the increase of entropy, which, in the kinetic theory of gases, is a mathematical property of the Boltzmann equation known as the H Theorem, was one of the most basic arguments against the validity of kinetic theory. About a century later, in 1974, O. Lanford proposed a strategy to prove that the Boltzmann equation describes a particular asymptotic limit of Newton's equations of classical mechan","authors_text":"Fran\\c{c}ois Golse","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-30T18:04:03Z","title":"De Newton \\`a Boltzmann et Einstein: validation des mod\\`eles cin\\'etiques et de diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0253","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":"sha256:78d9f9373a282a54ab376f1406f05d56e6e091a84b955f429abd30a3006971e2","target":"record","created_at":"2026-05-18T01:59:38Z","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":"35758815f750fc4550fcbc1cb7763dbad18b620d39ea50f4a8d7f15ae6b0adc7","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-11-30T18:04:03Z","title_canon_sha256":"23f0fd54fd9b2d590895292c2f0ace294dbcf9b0b729ad1bdfc12a4bfdf16739"},"schema_version":"1.0","source":{"id":"1412.0253","kind":"arxiv","version":1}},"canonical_sha256":"e82a906ef1a5e98ac622ce8e75a4799a6042f7af4c22d785a5a5b9fd27bfe4c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e82a906ef1a5e98ac622ce8e75a4799a6042f7af4c22d785a5a5b9fd27bfe4c1","first_computed_at":"2026-05-18T01:59:38.173932Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:38.173932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2jPZiFYbfKwA2WyaP7Tt13lS35XZinBe2WD23HMq+pgGVNrBM5xYojRPEEYtqGaeFfos8X1KJUFHzC93F6PqDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:38.174539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:78d9f9373a282a54ab376f1406f05d56e6e091a84b955f429abd30a3006971e2","sha256:3f798df1d1147d387a19ccd7ed9b8ba99c0dc6c14f82544c30287caf8dd1f583"],"state_sha256":"84f7f308f7a2c40969b11abb1798e797a525aa22b24fbfc2ce6f118bf4a0ab25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xeX4pFDWd32Si6mvU94epSr09Yq1NmphaFnjw7t9zPs0iK68BgaXThv0V1neRNfBCuGasvSAnWYcYuGELP7/Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:45:38.894101Z","bundle_sha256":"fdd4dacc020af06fe5c2d0979b3019d0d00105a0e8e1b6d67aef0d6ae816205a"}}