Pith Number

pith:TOIX2MWB

pith:2009:TOIX2MWBHANOIBUMARQUKKRAQ4

not attested not anchored not stored refs pending

The Observed Growth of Massive Galaxy Clusters III: Testing General Relativity on Cosmological Scales

2), (2) NASA/GSFC, (3) IfA, Adam Mantz (1, David Rapetti (1), Harald Ebeling (3) ((1) KIPAC, Hawaii), Stanford/SLAC, Steven W. Allen (1)

arxiv:0911.1787 v2 · 2009-11-10 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOIX2MWBHANOIBUMARQUKKRAQ4}

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	2026-05-18T02:10:49.380310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b917d32c1381ae4068c0461452a20871a25b82f6b252f7ea243dd197625b97d

Aliases

arxiv: 0911.1787 · arxiv_version: 0911.1787v2 · doi: 10.48550/arxiv.0911.1787 · pith_short_12: TOIX2MWBHANO · pith_short_16: TOIX2MWBHANOIBUM · pith_short_8: TOIX2MWB

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/TOIX2MWBHANOIBUMARQUKKRAQ4 \
  | 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: 9b917d32c1381ae4068c0461452a20871a25b82f6b252f7ea243dd197625b97d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46cc06afee1349e66fc891b22c6639caebacf53b36abc9919118cb0af7efbc8b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-11-10T18:14:45Z",
    "title_canon_sha256": "e2dada6d21a353a6e552c126ea61d483eb8fe0daeca4e496b8c9bb455263a8a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1787",
    "kind": "arxiv",
    "version": 2
  }
}