Pith Number

pith:CA3VJF5T

pith:1996:CA3VJF5TQFEJHOJV23RWUFK23M

not attested not anchored not stored refs pending

Analytical Approximations to the Low-Order Statistics of Dark Matter Distribution

G. B\"orner (MPA), H.J. Mo, Y.P. Jing

arxiv:astro-ph/9607143 v2 · 1996-07-28 · 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{CA3VJF5TQFEJHOJV23RWUFK23M}

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.

Receipt and verification

First computed	2026-05-18T01:40:19.687206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10375497b3814893b935d6e36a155adb0c000e624f6f0cdf91a05dc491322a31

Aliases

arxiv: astro-ph/9607143 · arxiv_version: astro-ph/9607143v2 · doi: 10.48550/arxiv.astro-ph/9607143 · pith_short_12: CA3VJF5TQFEJ · pith_short_16: CA3VJF5TQFEJHOJV · pith_short_8: CA3VJF5T

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/CA3VJF5TQFEJHOJV23RWUFK23M \
  | 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: 10375497b3814893b935d6e36a155adb0c000e624f6f0cdf91a05dc491322a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7334fbe55198b20617b09ec8cae0b3b6c441c7c400349a083ff5241bbcb6b12a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-07-28T15:46:30Z",
    "title_canon_sha256": "e7310f8c37b99bec9119014fac0dd173f23175f3a724224bd96fcccc87cc4269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9607143",
    "kind": "arxiv",
    "version": 2
  }
}