{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:6GRCSY32CUIETSLLZRSEQGHCLN","short_pith_number":"pith:6GRCSY32","schema_version":"1.0","canonical_sha256":"f1a229637a151049c96bcc644818e25b47f37453d9a40c7e08b6e11352f8345b","source":{"kind":"arxiv","id":"2210.08088","version":1},"attestation_state":"computed","paper":{"title":"Perturbation theory with dispersion and higher cumulants: framework and linear theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Dominik Laxhuber, Mathias Garny, Roman Scoccimarro","submitted_at":"2022-10-14T20:24:43Z","abstract_excerpt":"The standard perturbation theory (SPT) approach to gravitational clustering is based on a fluid approximation of the underlying Vlasov-Poisson dynamics, taking only the zeroth and first cumulant of the phase-space distribution function into account (density and velocity fields). This assumption breaks down when dark matter particle orbits cross and leads to well-known problems, e.g. an anomalously large backreaction of small-scale modes onto larger scales that compromises predictivity. We extend SPT by incorporating second and higher cumulants generated by orbit crossing. For collisionless mat"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2210.08088","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-10-14T20:24:43Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"a6d503f0c1a5188cc1ed2a06ab085f65bf67bdd5d841884a84e2a0b975f6e63e","abstract_canon_sha256":"e395df8e37efd231cb929c2d42ba80d62837f2c128d9fdb9cffc228e7069aa65"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:57:57.781890Z","signature_b64":"GJsuJcmFPJYRZ48EN1E48VKY5Hb6Ab0rrj21XcHLVVapbrljZBqO0fn4PvhkHchyo9PtD0rFUVuUOEBQ7YeICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1a229637a151049c96bcc644818e25b47f37453d9a40c7e08b6e11352f8345b","last_reissued_at":"2026-07-05T05:57:57.781468Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:57:57.781468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Perturbation theory with dispersion and higher cumulants: framework and linear theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Dominik Laxhuber, Mathias Garny, Roman Scoccimarro","submitted_at":"2022-10-14T20:24:43Z","abstract_excerpt":"The standard perturbation theory (SPT) approach to gravitational clustering is based on a fluid approximation of the underlying Vlasov-Poisson dynamics, taking only the zeroth and first cumulant of the phase-space distribution function into account (density and velocity fields). This assumption breaks down when dark matter particle orbits cross and leads to well-known problems, e.g. an anomalously large backreaction of small-scale modes onto larger scales that compromises predictivity. We extend SPT by incorporating second and higher cumulants generated by orbit crossing. For collisionless mat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.08088","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.08088/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2210.08088","created_at":"2026-07-05T05:57:57.781525+00:00"},{"alias_kind":"arxiv_version","alias_value":"2210.08088v1","created_at":"2026-07-05T05:57:57.781525+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.08088","created_at":"2026-07-05T05:57:57.781525+00:00"},{"alias_kind":"pith_short_12","alias_value":"6GRCSY32CUIE","created_at":"2026-07-05T05:57:57.781525+00:00"},{"alias_kind":"pith_short_16","alias_value":"6GRCSY32CUIETSLL","created_at":"2026-07-05T05:57:57.781525+00:00"},{"alias_kind":"pith_short_8","alias_value":"6GRCSY32","created_at":"2026-07-05T05:57:57.781525+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2510.15046","citing_title":"Multi-species Dark Matter with Warmth and Randomness","ref_index":83,"is_internal_anchor":false},{"citing_arxiv_id":"2509.18971","citing_title":"Post-collapse Lagrangian perturbation theory in three dimensions","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2512.07396","citing_title":"Phase-space perturbation theory for cosmic large-scale structure","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2601.19812","citing_title":"An essential building block for cosmological zoom-in perturbation theory","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2604.02775","citing_title":"Gravitational edge mode powers galaxy flat rotation curves","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2604.01112","citing_title":"Cosmological zoom-in perturbation theory as a consistent beyond point-particle approximation framework","ref_index":25,"is_internal_anchor":false},{"citing_arxiv_id":"2604.02775","citing_title":"Gravitational edge mode powers galaxy flat rotation curves","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6GRCSY32CUIETSLLZRSEQGHCLN","json":"https://pith.science/pith/6GRCSY32CUIETSLLZRSEQGHCLN.json","graph_json":"https://pith.science/api/pith-number/6GRCSY32CUIETSLLZRSEQGHCLN/graph.json","events_json":"https://pith.science/api/pith-number/6GRCSY32CUIETSLLZRSEQGHCLN/events.json","paper":"https://pith.science/paper/6GRCSY32"},"agent_actions":{"view_html":"https://pith.science/pith/6GRCSY32CUIETSLLZRSEQGHCLN","download_json":"https://pith.science/pith/6GRCSY32CUIETSLLZRSEQGHCLN.json","view_paper":"https://pith.science/paper/6GRCSY32","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2210.08088&json=true","fetch_graph":"https://pith.science/api/pith-number/6GRCSY32CUIETSLLZRSEQGHCLN/graph.json","fetch_events":"https://pith.science/api/pith-number/6GRCSY32CUIETSLLZRSEQGHCLN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6GRCSY32CUIETSLLZRSEQGHCLN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6GRCSY32CUIETSLLZRSEQGHCLN/action/storage_attestation","attest_author":"https://pith.science/pith/6GRCSY32CUIETSLLZRSEQGHCLN/action/author_attestation","sign_citation":"https://pith.science/pith/6GRCSY32CUIETSLLZRSEQGHCLN/action/citation_signature","submit_replication":"https://pith.science/pith/6GRCSY32CUIETSLLZRSEQGHCLN/action/replication_record"}},"created_at":"2026-07-05T05:57:57.781525+00:00","updated_at":"2026-07-05T05:57:57.781525+00:00"}