{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:GOGUAFVZ3WGZN5OGPWW7HNEV7T","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":"7bbeb0597f761a8b4ba3be212a49bfe841f459d5bb1efe807e6611094d643190","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2006-04-29T19:02:31Z","title_canon_sha256":"4943b8f91df146ac61d801df5772363d7c3312299fce4cce12c4ebe6feb96663"},"schema_version":"1.0","source":{"id":"astro-ph/0605013","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0605013","created_at":"2026-07-04T16:58:39Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0605013v2","created_at":"2026-07-04T16:58:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0605013","created_at":"2026-07-04T16:58:39Z"},{"alias_kind":"pith_short_12","alias_value":"GOGUAFVZ3WGZ","created_at":"2026-07-04T16:58:39Z"},{"alias_kind":"pith_short_16","alias_value":"GOGUAFVZ3WGZN5OG","created_at":"2026-07-04T16:58:39Z"},{"alias_kind":"pith_short_8","alias_value":"GOGUAFVZ","created_at":"2026-07-04T16:58:39Z"}],"graph_snapshots":[{"event_id":"sha256:6bffc7d2a9b565ba89b706671c26d8cf24d06034d1b6adc0c62b7a0656070cd2","target":"graph","created_at":"2026-07-04T16:58:39Z","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/astro-ph/0605013/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The dynamical equations describing the evolution of a self-gravitating fluid of cold dark matter (CDM) can be written in the form of a Schrodinger equation coupled to a Poisson equation describing Newtonian gravity. It has recently been shown that, in the quasi-linear regime, the Schrodinger equation can be reduced to the exactly solvable free-particle Schrodinger equation. The free-particle Schrodinger equation forms the basis of a new approximation scheme -the free-particle approximation - that is capable of evolving cosmological density perturbations into the quasi-linear regime. The free-p","authors_text":"C. J. Short, P. Coles (University of Nottingham, UK)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2006-04-29T19:02:31Z","title":"Wave-mechanics and the adhesion approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0605013","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":"sha256:0cfa6e78a77e3b2fedf9fcb89e86cf1d1a4a6a003269ba5bfa7879e7c199844e","target":"record","created_at":"2026-07-04T16:58:39Z","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":"7bbeb0597f761a8b4ba3be212a49bfe841f459d5bb1efe807e6611094d643190","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2006-04-29T19:02:31Z","title_canon_sha256":"4943b8f91df146ac61d801df5772363d7c3312299fce4cce12c4ebe6feb96663"},"schema_version":"1.0","source":{"id":"astro-ph/0605013","kind":"arxiv","version":2}},"canonical_sha256":"338d4016b9dd8d96f5c67dadf3b495fcec76a29269a1f17dd3637b36baee59d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"338d4016b9dd8d96f5c67dadf3b495fcec76a29269a1f17dd3637b36baee59d3","first_computed_at":"2026-07-04T16:58:39.794058Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:58:39.794058Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T+BcjtkuxRKyVU6pVWtBu7tD+iSN1KeMEa+lvl6JCJBOU6sWU7CGSo12vQWv6rePz9scDiIDZZAyoAkD3Cr6Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:58:39.794457Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0605013","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cfa6e78a77e3b2fedf9fcb89e86cf1d1a4a6a003269ba5bfa7879e7c199844e","sha256:6bffc7d2a9b565ba89b706671c26d8cf24d06034d1b6adc0c62b7a0656070cd2"],"state_sha256":"ab499f809d2ab0dc35734459fd99d878362e13b5a2a6237b3e155a5fe6a92666"}