Pith Number

pith:5VCPL4WB

pith:1994:5VCPL4WBDZGEGABB4NNC3W5XFH

not attested not anchored not stored refs pending

The Shapes of Galaxy Clusters

E. van Kampen, P.A.M. de Theije, P. Katgert

arxiv:astro-ph/9409011 v1 · 1994-09-06 · 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{5VCPL4WBDZGEGABB4NNC3W5XFH}

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	2026-05-18T01:40:24.321053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed44f5f2c11e4c430021e35a2ddbb729f38f8321a10d21369e4e03454317bb09

Aliases

arxiv: astro-ph/9409011 · arxiv_version: astro-ph/9409011v1 · doi: 10.48550/arxiv.astro-ph/9409011 · pith_short_12: 5VCPL4WBDZGE · pith_short_16: 5VCPL4WBDZGEGABB · pith_short_8: 5VCPL4WB

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/5VCPL4WBDZGEGABB4NNC3W5XFH \
  | 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: ed44f5f2c11e4c430021e35a2ddbb729f38f8321a10d21369e4e03454317bb09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e765678d2cafa1b6a476a91a64e9ac2ce1cc5c9efb1310c1d22492846b77af",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1994-09-06T06:58:12Z",
    "title_canon_sha256": "5c1350f200d6a83b10a375bec38b951219e13cdd61a5c37624e62f99049738d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9409011",
    "kind": "arxiv",
    "version": 1
  }
}