Pith Number

pith:WQSAERPH

pith:2012:WQSAERPHRMPEOYGMO263M4FVJ3

not attested not anchored not stored refs pending

On the Density profile slope of Clusters of Galaxies

A. Del Popolo ((1) Department of Physics, Astronomy, Brazil), Catania University, Italy (2) Departamento de Astronomia, SP, Universidade de Sao Paulo

arxiv:1204.4439 v1 · 2012-04-19 · 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{WQSAERPHRMPEOYGMO263M4FVJ3}

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	2026-05-18T03:00:27.041527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4240245e78b1e4760cc76bdb670b54efdfdd83a4a96a4c2a4358c7b5a28b839

Aliases

arxiv: 1204.4439 · arxiv_version: 1204.4439v1 · doi: 10.48550/arxiv.1204.4439 · pith_short_12: WQSAERPHRMPE · pith_short_16: WQSAERPHRMPEOYGM · pith_short_8: WQSAERPH

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/WQSAERPHRMPEOYGMO263M4FVJ3 \
  | 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: b4240245e78b1e4760cc76bdb670b54efdfdd83a4a96a4c2a4358c7b5a28b839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0650ac9a71a46ddab7266da227c8795b4c6c2c1fa6e2b40dc0bfdbabbdb52b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-04-19T19:20:02Z",
    "title_canon_sha256": "a3906c0c489dbf6d88b35cd7e5717004fc602c0fe988372c67388e5eb5ef1b17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4439",
    "kind": "arxiv",
    "version": 1
  }
}