Pith Number

pith:K6L3VR4D

pith:2009:K6L3VR4DWO2F2V7YLOOC2MX7M3

not attested not anchored not stored refs pending

Abundances, masses, and weak-lensing mass profiles of galaxy clusters as a function of richness and luminosity in LambdaCDM cosmologies

Simon D. M. White, Stefan Hilbert

arxiv:0907.4371 v2 · 2009-07-24 · 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{K6L3VR4DWO2F2V7YLOOC2MX7M3}

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	2026-05-18T02:12:53.734974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5797bac783b3b45d57f85b9c2d32ff66eed9c76feaf5ed6a83970e234db4160a

Aliases

arxiv: 0907.4371 · arxiv_version: 0907.4371v2 · doi: 10.48550/arxiv.0907.4371 · pith_short_12: K6L3VR4DWO2F · pith_short_16: K6L3VR4DWO2F2V7Y · pith_short_8: K6L3VR4D

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/K6L3VR4DWO2F2V7YLOOC2MX7M3 \
  | 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: 5797bac783b3b45d57f85b9c2d32ff66eed9c76feaf5ed6a83970e234db4160a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834289f993a6257434d07942543c4a877d5b4242ee18fd20639fbfe5d5cb835d",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-07-24T20:00:22Z",
    "title_canon_sha256": "be94a6ae0b93ea36bd48890488e167f2ff6e48fcbfa479b57d9ce59e6a5fb50c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4371",
    "kind": "arxiv",
    "version": 2
  }
}