Pith Number

pith:2OACQ4DJ

pith:2009:2OACQ4DJNQWME65SOCT3W2LITA

not attested not anchored not stored refs pending

An Analytic Model of the Physical Properties of Galaxy Clusters

G. Esra Bulbul, Marshall Joy, Massimiliano Bonamente, Nicole Hasler

arxiv:0911.2827 v2 · 2009-11-16 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OACQ4DJNQWME65SOCT3W2LITA}

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	2026-05-18T02:34:05.346418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3802870696c2cc27bb270a7bb6968982645c32b316506087af73728ae67e8d9

Aliases

arxiv: 0911.2827 · arxiv_version: 0911.2827v2 · doi: 10.48550/arxiv.0911.2827 · pith_short_12: 2OACQ4DJNQWM · pith_short_16: 2OACQ4DJNQWME65S · pith_short_8: 2OACQ4DJ

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/2OACQ4DJNQWME65SOCT3W2LITA \
  | 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: d3802870696c2cc27bb270a7bb6968982645c32b316506087af73728ae67e8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1a571bed8ccf1bb2a8aac563b9f2c9a5ccfa9e5fa14410eb86199bbc699ffdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-11-16T18:12:17Z",
    "title_canon_sha256": "400d6ce35a7236884a24be6e599f52460c7115de343e568eab9182c0689b36a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2827",
    "kind": "arxiv",
    "version": 2
  }
}