Pith Number

pith:L2M53HZW

pith:2009:L2M53HZWLSBM4E7D3MXM2I3NOK

not attested not anchored not stored refs pending

Richness Dependence of the Recent Evolution of Clusters of Galaxies

H. Andernach, H. Tovmassian, M. Plionis

arxiv:0901.2035 v1 · 2009-01-14 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2M53HZWLSBM4E7D3MXM2I3NOK}

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	2026-07-04T17:14:04.050740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e99dd9f365c82ce13e3db2ecd236d7290bba80609af3872eee2cd4da154cdb7

Aliases

arxiv: 0901.2035 · arxiv_version: 0901.2035v1 · doi: 10.48550/arxiv.0901.2035 · pith_short_12: L2M53HZWLSBM · pith_short_16: L2M53HZWLSBM4E7D · pith_short_8: L2M53HZW

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/L2M53HZWLSBM4E7D3MXM2I3NOK \
  | 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: 5e99dd9f365c82ce13e3db2ecd236d7290bba80609af3872eee2cd4da154cdb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffccda70952b6b4177c2c2318fd16c48ab5c0a3df7e734de4e16b0ded5304d71",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-01-14T15:02:32Z",
    "title_canon_sha256": "69856871fce4d1c9f2cda6596271e12e97b4f2d87677b7e7cd5ecd68dc1febd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2035",
    "kind": "arxiv",
    "version": 1
  }
}