{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ORBR2A2BFBSDEUAQWWOJXUCPCL","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":"7111831bcaa53288d8e0633a6399969e9cfa57fb264938a948ff948cbd2406fd","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-03-11T19:02:50Z","title_canon_sha256":"92a67951702520e2daddbe9a2667c98b41bb638a2e2a7af1a3133c5c8d484773"},"schema_version":"1.0","source":{"id":"2603.11238","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.11238","created_at":"2026-07-22T01:23:37Z"},{"alias_kind":"arxiv_version","alias_value":"2603.11238v2","created_at":"2026-07-22T01:23:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.11238","created_at":"2026-07-22T01:23:37Z"},{"alias_kind":"pith_short_12","alias_value":"ORBR2A2BFBSD","created_at":"2026-07-22T01:23:37Z"},{"alias_kind":"pith_short_16","alias_value":"ORBR2A2BFBSDEUAQ","created_at":"2026-07-22T01:23:37Z"},{"alias_kind":"pith_short_8","alias_value":"ORBR2A2B","created_at":"2026-07-22T01:23:37Z"}],"graph_snapshots":[{"event_id":"sha256:37ee8d2db9a7320c0a9e32f2648a762f159b7d7df789f5c436d7f440ed40dc41","target":"graph","created_at":"2026-07-22T01:23:37Z","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/2603.11238/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"One-dimensional self-gravitating systems admit genuine thermodynamical equilibria. For systems with strictly monotonic orbital frequency profile, the Landau and Balescu-Lenard theories predict a relaxation time scaling linearly with the number of particles, $N$, in agreement with simulations. Yet, these theories become ill-posed for degenerate frequency profiles, as is the case in the harmonic potential, where all particles share the exact same mean orbital frequency. Using an exact collision-driven 1D integrator, we investigate numerically the self-consistent relaxation of 1D harmonic self-gr","authors_text":"Christophe Pichon, Jean-Baptiste Fouvry, Kerwann Tep","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-03-11T19:02:50Z","title":"Very long-term relaxation of harmonic 1D self-gravitating systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.11238","kind":"arxiv","version":2},"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":"sha256:4e04b0932025de2a17927451fa15716b7b58a07875b2f42087f33ee4b0898cb3","target":"record","created_at":"2026-07-22T01:23:37Z","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":"7111831bcaa53288d8e0633a6399969e9cfa57fb264938a948ff948cbd2406fd","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-03-11T19:02:50Z","title_canon_sha256":"92a67951702520e2daddbe9a2667c98b41bb638a2e2a7af1a3133c5c8d484773"},"schema_version":"1.0","source":{"id":"2603.11238","kind":"arxiv","version":2}},"canonical_sha256":"74431d03412864325010b59c9bd04f12fe735b2c0cfd4ae2afe2e23f42bf3d55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74431d03412864325010b59c9bd04f12fe735b2c0cfd4ae2afe2e23f42bf3d55","first_computed_at":"2026-07-22T01:23:37.927401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-22T01:23:37.927401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BGFMUMiyXqcXGhuzk+iJM7wxBjtA5Op6OPTWheQrmD75BV+i7049ACS93KUr9iTZMHwKxoi0xdxBl6qvp++vAA==","signature_status":"signed_v1","signed_at":"2026-07-22T01:23:37.928291Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.11238","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e04b0932025de2a17927451fa15716b7b58a07875b2f42087f33ee4b0898cb3","sha256:37ee8d2db9a7320c0a9e32f2648a762f159b7d7df789f5c436d7f440ed40dc41"],"state_sha256":"524735078ac4e4c502a27608569bcc6d80fd4766d6fd4be24f393ed635720ca2"}