{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:2JPP2GRUIN5QWGRBB5TWIEIOVE","short_pith_number":"pith:2JPP2GRU","canonical_record":{"source":{"id":"2509.22164","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-09-26T10:25:06Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"bdabac8be6b944239382cbda6b0551c928bca717ed8c960c1637940b46fdb089","abstract_canon_sha256":"370d8ee2820db7f4e69f34247242557dbc7c9dc7d0a1fba690b86482ffa2fc6e"},"schema_version":"1.0"},"canonical_sha256":"d25efd1a34437b0b1a210f6764110ea93b517b01509b1d8fcf70a8fb8d844884","source":{"kind":"arxiv","id":"2509.22164","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.22164","created_at":"2026-05-26T02:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"2509.22164v2","created_at":"2026-05-26T02:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.22164","created_at":"2026-05-26T02:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"2JPP2GRUIN5Q","created_at":"2026-05-26T02:03:55Z"},{"alias_kind":"pith_short_16","alias_value":"2JPP2GRUIN5QWGRB","created_at":"2026-05-26T02:03:55Z"},{"alias_kind":"pith_short_8","alias_value":"2JPP2GRU","created_at":"2026-05-26T02:03:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:2JPP2GRUIN5QWGRBB5TWIEIOVE","target":"record","payload":{"canonical_record":{"source":{"id":"2509.22164","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-09-26T10:25:06Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"bdabac8be6b944239382cbda6b0551c928bca717ed8c960c1637940b46fdb089","abstract_canon_sha256":"370d8ee2820db7f4e69f34247242557dbc7c9dc7d0a1fba690b86482ffa2fc6e"},"schema_version":"1.0"},"canonical_sha256":"d25efd1a34437b0b1a210f6764110ea93b517b01509b1d8fcf70a8fb8d844884","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:03:55.555853Z","signature_b64":"5gacX7OAmOhBbFFBfnNUM8YBcWDTG/lFbdqFjP31790LHGeoQZG7CVN4upZUo4FGzNsYq5V4Ia4qS81apU0bBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d25efd1a34437b0b1a210f6764110ea93b517b01509b1d8fcf70a8fb8d844884","last_reissued_at":"2026-05-26T02:03:55.554897Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:03:55.554897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.22164","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-26T02:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LtKh87P3Jyxa1Tp+Dh/pBr+WgEATEiXFtgcSldUI3cmjdvOH6qKO00PLNwo0cL8JInPkshnZyGys8SbdnR16Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T16:39:21.232926Z"},"content_sha256":"46bfbfdfb20bcd7f41d05ab79eac3f7e2a7fd43671affcd769d78c68f99cc0ca","schema_version":"1.0","event_id":"sha256:46bfbfdfb20bcd7f41d05ab79eac3f7e2a7fd43671affcd769d78c68f99cc0ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:2JPP2GRUIN5QWGRBB5TWIEIOVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vector Resonant Relaxation and Statistical Closure Theory. II. One-loop Closure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jean-Baptiste Fouvry, Sofia Flores","submitted_at":"2025-09-26T10:25:06Z","abstract_excerpt":"We use stellar dynamics as a testbed for statistical closure theory. We focus on the process of \"Vector Resonant Relaxation,\" a long-range, non-linear, and correlated relaxation mechanism that drives the reorientation of stellar orbital planes around a supermassive black hole. This process provides a natural setting to evaluate the predictive power of generic statistical closure schemes for dynamical correlation functions, in the fully non-linear and non-perturbative regime. We develop a numerical scheme that explicitly implements the seminal \"Martin-Siggia-Rose\" formalism at one-loop order vi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.22164","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.22164/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-26T02:03:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T8cBDkFGH3x8sZQoEH2L2WxYSzSgCMCB4UJjZYyZ+Zjpes06zuomCthB0Yt0OIqEr+0Mmmn0+6H69ykGUMlRAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T16:39:21.233321Z"},"content_sha256":"b6eb29c6f92f286f744a92418a94f75a775e4886fdc606107696b1695efb69da","schema_version":"1.0","event_id":"sha256:b6eb29c6f92f286f744a92418a94f75a775e4886fdc606107696b1695efb69da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2JPP2GRUIN5QWGRBB5TWIEIOVE/bundle.json","state_url":"https://pith.science/pith/2JPP2GRUIN5QWGRBB5TWIEIOVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2JPP2GRUIN5QWGRBB5TWIEIOVE/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":"2026-08-18T16:39:21Z","links":{"resolver":"https://pith.science/pith/2JPP2GRUIN5QWGRBB5TWIEIOVE","bundle":"https://pith.science/pith/2JPP2GRUIN5QWGRBB5TWIEIOVE/bundle.json","state":"https://pith.science/pith/2JPP2GRUIN5QWGRBB5TWIEIOVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2JPP2GRUIN5QWGRBB5TWIEIOVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2JPP2GRUIN5QWGRBB5TWIEIOVE","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":"370d8ee2820db7f4e69f34247242557dbc7c9dc7d0a1fba690b86482ffa2fc6e","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-09-26T10:25:06Z","title_canon_sha256":"bdabac8be6b944239382cbda6b0551c928bca717ed8c960c1637940b46fdb089"},"schema_version":"1.0","source":{"id":"2509.22164","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.22164","created_at":"2026-05-26T02:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"2509.22164v2","created_at":"2026-05-26T02:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.22164","created_at":"2026-05-26T02:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"2JPP2GRUIN5Q","created_at":"2026-05-26T02:03:55Z"},{"alias_kind":"pith_short_16","alias_value":"2JPP2GRUIN5QWGRB","created_at":"2026-05-26T02:03:55Z"},{"alias_kind":"pith_short_8","alias_value":"2JPP2GRU","created_at":"2026-05-26T02:03:55Z"}],"graph_snapshots":[{"event_id":"sha256:b6eb29c6f92f286f744a92418a94f75a775e4886fdc606107696b1695efb69da","target":"graph","created_at":"2026-05-26T02:03:55Z","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/2509.22164/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We use stellar dynamics as a testbed for statistical closure theory. We focus on the process of \"Vector Resonant Relaxation,\" a long-range, non-linear, and correlated relaxation mechanism that drives the reorientation of stellar orbital planes around a supermassive black hole. This process provides a natural setting to evaluate the predictive power of generic statistical closure schemes for dynamical correlation functions, in the fully non-linear and non-perturbative regime. We develop a numerical scheme that explicitly implements the seminal \"Martin-Siggia-Rose\" formalism at one-loop order vi","authors_text":"Jean-Baptiste Fouvry, Sofia Flores","cross_cats":["astro-ph.GA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-09-26T10:25:06Z","title":"Vector Resonant Relaxation and Statistical Closure Theory. II. One-loop Closure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.22164","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":"sha256:46bfbfdfb20bcd7f41d05ab79eac3f7e2a7fd43671affcd769d78c68f99cc0ca","target":"record","created_at":"2026-05-26T02:03:55Z","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":"370d8ee2820db7f4e69f34247242557dbc7c9dc7d0a1fba690b86482ffa2fc6e","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-09-26T10:25:06Z","title_canon_sha256":"bdabac8be6b944239382cbda6b0551c928bca717ed8c960c1637940b46fdb089"},"schema_version":"1.0","source":{"id":"2509.22164","kind":"arxiv","version":2}},"canonical_sha256":"d25efd1a34437b0b1a210f6764110ea93b517b01509b1d8fcf70a8fb8d844884","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d25efd1a34437b0b1a210f6764110ea93b517b01509b1d8fcf70a8fb8d844884","first_computed_at":"2026-05-26T02:03:55.554897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T02:03:55.554897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5gacX7OAmOhBbFFBfnNUM8YBcWDTG/lFbdqFjP31790LHGeoQZG7CVN4upZUo4FGzNsYq5V4Ia4qS81apU0bBw==","signature_status":"signed_v1","signed_at":"2026-05-26T02:03:55.555853Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.22164","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46bfbfdfb20bcd7f41d05ab79eac3f7e2a7fd43671affcd769d78c68f99cc0ca","sha256:b6eb29c6f92f286f744a92418a94f75a775e4886fdc606107696b1695efb69da"],"state_sha256":"b33cf6cdae4f042841f125a7f0a4af0174cfaba0469f8d3992ce24634b087a7c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dpb/DTT+asXo6AcpKV8pcDJ9lpTmnTg76fVLZ8sFyCVJQq/ffe4WO7TlBqptw4t6j77QWyEpyUG9SILNS/byDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T16:39:21.235717Z","bundle_sha256":"f0df3b97fd5ced385f25c0d5c5b92c0f55c63ab30de0ec03d4ee8e796520b0d0"}}