Pith Number

pith:2DULXFNW

pith:2004:2DULXFNWO3MWEEUX5YCRNABHFF

not attested not anchored not stored refs pending

Constraints on mode couplings and modulation of the CMB with WMAP data

CEA, CEA Saclay), Francis Bernardeau (SPht, Jean-Philippe Uzan (LPT, Orsay; IAP), Saclay), Simon Prunet (IAP), Tristan Brunier (SPhT

arxiv:astro-ph/0406364 v1 · 2004-06-16 · 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{2DULXFNWO3MWEEUX5YCRNABHFF}

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	2026-07-04T16:44:01.622804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e8bb95b676d9621297ee051680272957dd9064662feb509daa2464dfb759ca

Aliases

arxiv: astro-ph/0406364 · arxiv_version: astro-ph/0406364v1 · doi: 10.48550/arxiv.astro-ph/0406364 · pith_short_12: 2DULXFNWO3MW · pith_short_16: 2DULXFNWO3MWEEUX · pith_short_8: 2DULXFNW

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/2DULXFNWO3MWEEUX5YCRNABHFF \
  | 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: d0e8bb95b676d9621297ee051680272957dd9064662feb509daa2464dfb759ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "031d41caa2208b8905902cb3a4e8fe7148858aa8f68109dade13df985631e089",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-06-16T08:55:10Z",
    "title_canon_sha256": "5bdea445fb61790f2eb0f34e37d04deb3f414e1f351e28150563f77273dc2949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0406364",
    "kind": "arxiv",
    "version": 1
  }
}