Pith Number

pith:ATP52FR7

pith:1993:ATP52FR7WR47THHHAYIDGFFRY2

not attested not anchored not stored refs pending

Lagrangian theory of gravitational instability of Friedman-Lemaitre cosmologies - generic third-order model for non-linear clustering

Thomas Buchert

arxiv:astro-ph/9309055 v1 · 1993-09-30 · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATP52FR7WR47THHHAYIDGFFRY2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

Phase-space perturbation theory for cosmic large-scale structure

Novel Realizations of Warp Drive Spacetimes as Solutions of General Relativity

Receipt and verification

First computed	2026-05-18T01:40:26.525712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04dfdd163fb479f99ce706103314b1c6b3324222f49efe6215b27e8fc49325a4

Aliases

arxiv: astro-ph/9309055 · arxiv_version: astro-ph/9309055v1 · doi: 10.48550/arxiv.astro-ph/9309055 · pith_short_12: ATP52FR7WR47 · pith_short_16: ATP52FR7WR47THHH · pith_short_8: ATP52FR7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ATP52FR7WR47THHHAYIDGFFRY2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 04dfdd163fb479f99ce706103314b1c6b3324222f49efe6215b27e8fc49325a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ec6b191da434f218a92b41ca4be25c7ce72df48f38c90e6d5b53a2fa0c35cf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-09-30T11:27:19Z",
    "title_canon_sha256": "0f06b1b0fa0292d167388f412755cf8d73c94ea5d6f7b7b1c01bd320368725eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9309055",
    "kind": "arxiv",
    "version": 1
  }
}