Pith Number

pith:M2JT3VD3

pith:2009:M2JT3VD3IHWD3322O6N3XRZ7AD

not attested not anchored not stored refs pending

Galaxy clusters and the cosmic cycle of baryons across cosmic times

A. Bignamini, A. Evrard, A. Ptak, A. Vikhlinin, C. Jones, G. Pareschi, G. Tagliaferri, G. Voit, J. Santos, K. Flanagan, M. Donahue, M. Paolillo, M. Weisskopf, P. Rosati, P. Tozzi, R. Giacconi, R. Gilli, S. Borgani, S. Molendi, S. Murray, W. Forman

arxiv:0902.4857 v1 · 2009-02-27 · astro-ph.CO · astro-ph.GA · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2JT3VD3IHWD3322O6N3XRZ7AD}

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	2026-07-04T15:38:51.795533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66933dd47b41ec3def5a779bbbc73f00e943546b0c14a565293f1b0483eb4bb9

Aliases

arxiv: 0902.4857 · arxiv_version: 0902.4857v1 · doi: 10.48550/arxiv.0902.4857 · pith_short_12: M2JT3VD3IHWD · pith_short_16: M2JT3VD3IHWD3322 · pith_short_8: M2JT3VD3

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/M2JT3VD3IHWD3322O6N3XRZ7AD \
  | 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: 66933dd47b41ec3def5a779bbbc73f00e943546b0c14a565293f1b0483eb4bb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e509c47b244a62c16e9869ab1df06688bc642873a318baffef7133a38383316d",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-02-27T16:06:28Z",
    "title_canon_sha256": "baf0881ea07c585bb51f9bafa6d9d1b73822a164ba964aad86285ec1f33386d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4857",
    "kind": "arxiv",
    "version": 1
  }
}