Pith Number

pith:PDYD4JAE

pith:2002:PDYD4JAEGRJJPOC5GP6DGMHSBC

not attested not anchored not stored refs pending

The largest virialized dark halo in the universe

Li Chen, Tong-Jie Zhang, Wei Zhou, Xiang-Tao He, Yu-Mei Huang

arxiv:astro-ph/0204480 v1 · 2002-04-29 · 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{PDYD4JAEGRJJPOC5GP6DGMHSBC}

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	2026-07-04T16:29:56.152932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f03e2404345297b85d33fc3330f208af4c8619231d563c0786cee1b9a8bce9

Aliases

arxiv: astro-ph/0204480 · arxiv_version: astro-ph/0204480v1 · doi: 10.48550/arxiv.astro-ph/0204480 · pith_short_12: PDYD4JAEGRJJ · pith_short_16: PDYD4JAEGRJJPOC5 · pith_short_8: PDYD4JAE

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/PDYD4JAEGRJJPOC5GP6DGMHSBC \
  | 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: 78f03e2404345297b85d33fc3330f208af4c8619231d563c0786cee1b9a8bce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac8b17d45e62f274f2879fab333b3392bfe6c7f8c3d5394f0e044d9c9c4dbfaf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-04-29T05:12:43Z",
    "title_canon_sha256": "dd14db2b37d38cef41e6eaa0ffd9a3ef68c08660ddbe7cb34776a3241fe4edd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0204480",
    "kind": "arxiv",
    "version": 1
  }
}