Pith Number

pith:2ZZVYZPM

pith:1993:2ZZVYZPMF4P7ML3UNPLITYDDHF

not attested not anchored not stored refs pending

Optimizing the Zel'dovich Approximation

A.L. Melott, S.F. Shandarin, T.F. Pellman

arxiv:astro-ph/9312044 v1 · 1993-12-18 · 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{2ZZVYZPMF4P7ML3UNPLITYDDHF}

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

1 paper in Pith

Novel Realizations of Warp Drive Spacetimes as Solutions of General Relativity

Receipt and verification

First computed	2026-05-18T01:40:26.362870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6735c65ec2f1ff62f746bd689e063397ffb01b377354f75e23ddf88e3c1f63e

Aliases

arxiv: astro-ph/9312044 · arxiv_version: astro-ph/9312044v1 · doi: 10.48550/arxiv.astro-ph/9312044 · pith_short_12: 2ZZVYZPMF4P7 · pith_short_16: 2ZZVYZPMF4P7ML3U · pith_short_8: 2ZZVYZPM

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/2ZZVYZPMF4P7ML3UNPLITYDDHF \
  | 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: d6735c65ec2f1ff62f746bd689e063397ffb01b377354f75e23ddf88e3c1f63e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceb68c4bfca40742f036ee931e74ea8900f188fa7699403037cc7e00fcd36ea3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-12-18T05:07:53Z",
    "title_canon_sha256": "387e39cc4e4299531191d22407a42663f8be0f9f1f2864c7741232e7406bedc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9312044",
    "kind": "arxiv",
    "version": 1
  }
}