Pith Number

pith:V5MLTXAO

pith:2001:V5MLTXAO7AHL2WKZAND2Z5MLZQ

not attested not anchored not stored refs pending

The Mass Function of an X-Ray Flux-Limited Sample of Galaxy Clusters

(2) UVa), at present 2), Hans Boehringer (1) ((1) MPE, Thomas H. Reiprich (1

arxiv:astro-ph/0111285 v1 · 2001-11-14 · 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{V5MLTXAO7AHL2WKZAND2Z5MLZQ}

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	2026-05-18T04:29:05.193731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af58b9dc0ef80ebd59590347acf58bcc258effbe1ae59d864a621d83348034f7

Aliases

arxiv: astro-ph/0111285 · arxiv_version: astro-ph/0111285v1 · doi: 10.48550/arxiv.astro-ph/0111285 · pith_short_12: V5MLTXAO7AHL · pith_short_16: V5MLTXAO7AHL2WKZ · pith_short_8: V5MLTXAO

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/V5MLTXAO7AHL2WKZAND2Z5MLZQ \
  | 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: af58b9dc0ef80ebd59590347acf58bcc258effbe1ae59d864a621d83348034f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f37d84916fd14d89108846330e34bee608d1ec87e0020580b5b804add4a487d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-11-14T20:50:56Z",
    "title_canon_sha256": "a2bb939c5a1c335682744f09dae5cf25f1a07f03108bf75adef74f362c648484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0111285",
    "kind": "arxiv",
    "version": 1
  }
}