Pith Number

pith:WKPCGTV3

pith:2000:WKPCGTV3SUEHWBP46PMKLTUQGE

not attested not anchored not stored refs pending

Evolution of the Blue Luminosity-to-Baryon Mass Ratio of Clusters of Galaxies

Kazuhiro Shimasaku (University of Tokyo)

arxiv:astro-ph/0001521 v1 · 2000-01-31 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKPCGTV3SUEHWBP46PMKLTUQGE}

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	2026-05-18T01:40:48.371447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29e234ebb95087b05fcf3d8a5ce903128490d3bebfef42bedefa0f891db85eb

Aliases

arxiv: astro-ph/0001521 · arxiv_version: astro-ph/0001521v1 · doi: 10.48550/arxiv.astro-ph/0001521 · pith_short_12: WKPCGTV3SUEH · pith_short_16: WKPCGTV3SUEHWBP4 · pith_short_8: WKPCGTV3

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/WKPCGTV3SUEHWBP46PMKLTUQGE \
  | 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: b29e234ebb95087b05fcf3d8a5ce903128490d3bebfef42bedefa0f891db85eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c89130f43b37cdf0718c87d7d53c0fdb60f9ef6ff0b476917544cbac30fae6e3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-01-31T05:04:33Z",
    "title_canon_sha256": "fb25ee9196b574514c8189aac9a72bb5d5c340a11ffefbb7d1b351440793a160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0001521",
    "kind": "arxiv",
    "version": 1
  }
}