Pith Number

pith:CK3FOLHY

pith:2000:CK3FOLHYYSIMP3ZWQSOMGTQTUN

not attested not anchored not stored refs pending

Fractal structures and the large scale distribution of galaxies

Francesco Sylos Labini, Luciano Pietronero

arxiv:astro-ph/0002124 v1 · 2000-02-05 · 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{CK3FOLHYYSIMP3ZWQSOMGTQTUN}

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

Fractal Properties of the Cosmic Web

Receipt and verification

First computed	2026-07-04T14:10:09.890902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12b6572cf8c490c7ef36849cc34e13a3771f3eeb0399670297a573d466249a2f

Aliases

arxiv: astro-ph/0002124 · arxiv_version: astro-ph/0002124v1 · doi: 10.48550/arxiv.astro-ph/0002124 · pith_short_12: CK3FOLHYYSIM · pith_short_16: CK3FOLHYYSIMP3ZW · pith_short_8: CK3FOLHY

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/CK3FOLHYYSIMP3ZWQSOMGTQTUN \
  | 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: 12b6572cf8c490c7ef36849cc34e13a3771f3eeb0399670297a573d466249a2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a2c5be23749484ab32182d58cf1ad867c8a7938d5237c5cf0e3cb5d1744f28",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-02-05T17:10:13Z",
    "title_canon_sha256": "02c713da60a94c5d820552ba7bf002583f901ec20dcaffb8b075bb08dac60659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0002124",
    "kind": "arxiv",
    "version": 1
  }
}