Pith Number

pith:RTBM2WMC

pith:2000:RTBM2WMC6A4S7NZHWF5PWFVMAV

not attested not anchored not stored refs pending

CMB anisotropy from spatial correlations of clusters of galaxies

Alexandre Refregier (Cambridge), David N. Spergel (Princeton), Eiichiro Komatsu (Princeton), Tetsu Kitayama (Tokyo Metro-U), Ue-Li Pen (CITA)

arxiv:astro-ph/0012196 v1 · 2000-12-09 · 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{RTBM2WMC6A4S7NZHWF5PWFVMAV}

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	2026-05-18T00:37:17.927852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cc2cd5982f0392fb727b17afb16ac057f77b4b9160668623236a0abe4d32e2e

Aliases

arxiv: astro-ph/0012196 · arxiv_version: astro-ph/0012196v1 · doi: 10.48550/arxiv.astro-ph/0012196 · pith_short_12: RTBM2WMC6A4S · pith_short_16: RTBM2WMC6A4S7NZH · pith_short_8: RTBM2WMC

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/RTBM2WMC6A4S7NZHWF5PWFVMAV \
  | 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: 8cc2cd5982f0392fb727b17afb16ac057f77b4b9160668623236a0abe4d32e2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13960b226cfcd447614a22e23b4de64a83564041be33e073704d93fb4500f6c5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-12-09T02:58:30Z",
    "title_canon_sha256": "0e8d228d616ade11c5036e72ecd030b843ef69dba540a2c73de378b114fb7943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0012196",
    "kind": "arxiv",
    "version": 1
  }
}