Pith Number

pith:NOBWAPGS

pith:2012:NOBWAPGSYMGDB3D2E2REEKB3JT

not attested not anchored not stored refs pending

Closing the Loop: A Self-Consistent Model of Optical, X-ray, and SZ Scaling Relations for Clusters of Galaxies

August E. Evrard, Eduardo Rozo, Eli S. Rykoff, James G. Bartlett

arxiv:1204.6305 v3 · 2012-04-27 · 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{NOBWAPGSYMGDB3D2E2REEKB3JT}

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	2026-05-18T01:57:43.057849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b83603cd2c30c30ec7a26a242283b4cd102b72c8af9bb78ecb6ecd94509c18a

Aliases

arxiv: 1204.6305 · arxiv_version: 1204.6305v3 · doi: 10.48550/arxiv.1204.6305 · pith_short_12: NOBWAPGSYMGD · pith_short_16: NOBWAPGSYMGDB3D2 · pith_short_8: NOBWAPGS

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/NOBWAPGSYMGDB3D2E2REEKB3JT \
  | 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: 6b83603cd2c30c30ec7a26a242283b4cd102b72c8af9bb78ecb6ecd94509c18a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08734c75f51473cb8444bc87a5bd1e36919d1322f68a4dc901b12d8e181ad1a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-04-27T19:21:53Z",
    "title_canon_sha256": "519fa86b1319ae50ae44c893f071584823f4dfd0bfe5e10ffd6a8a1a71f92e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6305",
    "kind": "arxiv",
    "version": 3
  }
}