{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JX4ZIDVBGLOQJI5TOB7DI4ZPJT","short_pith_number":"pith:JX4ZIDVB","canonical_record":{"source":{"id":"1811.05901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-11-14T16:54:35Z","cross_cats_sorted":[],"title_canon_sha256":"31fb64737787e1a336775b3c3d5697a049161bf278adaaa184fa992af5a71fa0","abstract_canon_sha256":"97147a465bc0f56ca7a1cc61dc7d3d6774a1ef6d50a2deeffc3914fee8db2b77"},"schema_version":"1.0"},"canonical_sha256":"4df9940ea132dd04a3b3707e34732f4ceb8a68789440fd224cc723586b6e33ec","source":{"kind":"arxiv","id":"1811.05901","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.05901","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1811.05901v1","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05901","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"JX4ZIDVBGLOQ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"JX4ZIDVBGLOQJI5T","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"JX4ZIDVB","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JX4ZIDVBGLOQJI5TOB7DI4ZPJT","target":"record","payload":{"canonical_record":{"source":{"id":"1811.05901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-11-14T16:54:35Z","cross_cats_sorted":[],"title_canon_sha256":"31fb64737787e1a336775b3c3d5697a049161bf278adaaa184fa992af5a71fa0","abstract_canon_sha256":"97147a465bc0f56ca7a1cc61dc7d3d6774a1ef6d50a2deeffc3914fee8db2b77"},"schema_version":"1.0"},"canonical_sha256":"4df9940ea132dd04a3b3707e34732f4ceb8a68789440fd224cc723586b6e33ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:30.863425Z","signature_b64":"zJDYzzx4tUE0KZiQOh5nONsasbzDmRuX5c8YaJpvSdJqDogl0jXwa4zLkkldLPjknlpTX5UWejVTnsuYZatmBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4df9940ea132dd04a3b3707e34732f4ceb8a68789440fd224cc723586b6e33ec","last_reissued_at":"2026-05-17T23:51:30.862944Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:30.862944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.05901","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":"2026-05-17T23:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BjQlf+3OZOmoB4KrX7kMe+WtcaVbP8kyxVdF0Zl5yIZTp03PzRlsTvzBK3JBHuR/pZ1LF5aL68Ztd2dqRfIdDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:15:52.552038Z"},"content_sha256":"239f3029c99114bf232afd5061e45eec3fa27813e35aabacb22283d754b3c25e","schema_version":"1.0","event_id":"sha256:239f3029c99114bf232afd5061e45eec3fa27813e35aabacb22283d754b3c25e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JX4ZIDVBGLOQJI5TOB7DI4ZPJT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Secular dynamics of long-range interacting particles on a sphere in the axisymmetric limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Ben Bar-Or, Jean-Baptiste Fouvry, Pierre-Henri Chavanis","submitted_at":"2018-11-14T16:54:35Z","abstract_excerpt":"We investigate the secular dynamics of long-range interacting particles moving on a sphere, in the limit of an axisymmetric mean field potential. We show that this system can be described by the general kinetic equation, the inhomogeneous Balescu--Lenard equation. We use this approach to compute long-term diffusion coefficients, that are compared with direct simulations. Finally, we show how the scaling of the system's relaxation rate with the number of particles fundamentally depends on the underlying frequency profile. This clarifies why systems with a monotonic profile undergo a kinetic blo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05901","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":"2026-05-17T23:51:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"krhtZQDqrngRt/FB7YT4ho9XlynBO1l8W+uIj+ipJFU8dJVJVTRip03EWux+/dJgxO+urJ2KTMG0lo3wO7iVCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:15:52.552776Z"},"content_sha256":"c8873bdfde19f6a3b7f032aa410856150415928c13bdb896217c74945c5f3ba6","schema_version":"1.0","event_id":"sha256:c8873bdfde19f6a3b7f032aa410856150415928c13bdb896217c74945c5f3ba6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JX4ZIDVBGLOQJI5TOB7DI4ZPJT/bundle.json","state_url":"https://pith.science/pith/JX4ZIDVBGLOQJI5TOB7DI4ZPJT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JX4ZIDVBGLOQJI5TOB7DI4ZPJT/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":"2026-05-25T19:15:52Z","links":{"resolver":"https://pith.science/pith/JX4ZIDVBGLOQJI5TOB7DI4ZPJT","bundle":"https://pith.science/pith/JX4ZIDVBGLOQJI5TOB7DI4ZPJT/bundle.json","state":"https://pith.science/pith/JX4ZIDVBGLOQJI5TOB7DI4ZPJT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JX4ZIDVBGLOQJI5TOB7DI4ZPJT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JX4ZIDVBGLOQJI5TOB7DI4ZPJT","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":"97147a465bc0f56ca7a1cc61dc7d3d6774a1ef6d50a2deeffc3914fee8db2b77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-11-14T16:54:35Z","title_canon_sha256":"31fb64737787e1a336775b3c3d5697a049161bf278adaaa184fa992af5a71fa0"},"schema_version":"1.0","source":{"id":"1811.05901","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.05901","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"arxiv_version","alias_value":"1811.05901v1","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05901","created_at":"2026-05-17T23:51:30Z"},{"alias_kind":"pith_short_12","alias_value":"JX4ZIDVBGLOQ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"JX4ZIDVBGLOQJI5T","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"JX4ZIDVB","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:c8873bdfde19f6a3b7f032aa410856150415928c13bdb896217c74945c5f3ba6","target":"graph","created_at":"2026-05-17T23:51:30Z","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 investigate the secular dynamics of long-range interacting particles moving on a sphere, in the limit of an axisymmetric mean field potential. We show that this system can be described by the general kinetic equation, the inhomogeneous Balescu--Lenard equation. We use this approach to compute long-term diffusion coefficients, that are compared with direct simulations. Finally, we show how the scaling of the system's relaxation rate with the number of particles fundamentally depends on the underlying frequency profile. This clarifies why systems with a monotonic profile undergo a kinetic blo","authors_text":"Ben Bar-Or, Jean-Baptiste Fouvry, Pierre-Henri Chavanis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-11-14T16:54:35Z","title":"Secular dynamics of long-range interacting particles on a sphere in the axisymmetric limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05901","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":"sha256:239f3029c99114bf232afd5061e45eec3fa27813e35aabacb22283d754b3c25e","target":"record","created_at":"2026-05-17T23:51:30Z","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":"97147a465bc0f56ca7a1cc61dc7d3d6774a1ef6d50a2deeffc3914fee8db2b77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-11-14T16:54:35Z","title_canon_sha256":"31fb64737787e1a336775b3c3d5697a049161bf278adaaa184fa992af5a71fa0"},"schema_version":"1.0","source":{"id":"1811.05901","kind":"arxiv","version":1}},"canonical_sha256":"4df9940ea132dd04a3b3707e34732f4ceb8a68789440fd224cc723586b6e33ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4df9940ea132dd04a3b3707e34732f4ceb8a68789440fd224cc723586b6e33ec","first_computed_at":"2026-05-17T23:51:30.862944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:30.862944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zJDYzzx4tUE0KZiQOh5nONsasbzDmRuX5c8YaJpvSdJqDogl0jXwa4zLkkldLPjknlpTX5UWejVTnsuYZatmBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:30.863425Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.05901","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:239f3029c99114bf232afd5061e45eec3fa27813e35aabacb22283d754b3c25e","sha256:c8873bdfde19f6a3b7f032aa410856150415928c13bdb896217c74945c5f3ba6"],"state_sha256":"c65239521b9a7acca2468de5329cfe5c5ace470930ce1e5e8926a1f3442121f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nSlwiTU6hPNBATJJYbG4l4Ts7zhEvodc/BWEXwNMGkdPqh7wQb6YqVTcoJtkQKpECfJxiamB+H5gsakhdHAHDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:15:52.556540Z","bundle_sha256":"df1f3d3acb46119daa459f7e666661e55138577e67b8de42af75d240b946d0e9"}}