Pith Number

pith:DEEE4FUR

pith:2004:DEEE4FUR6Y4LZUXNZ5P5HUHHNP

not attested not anchored not stored refs pending

Maxwell's Multipole Vectors and the CMB

Jeffrey R. Weeks

arxiv:astro-ph/0412231 v2 · 2004-12-09 · 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{DEEE4FUR6Y4LZUXNZ5P5HUHHNP}

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.

Cited by

1 paper in Pith

Cosmic Multipoles in Galaxy Surveys Part I: How Inferences Depend on Source Counts and Masks

Receipt and verification

First computed	2026-07-04T14:13:57.259006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19084e1691f638bcd2edcf5fd3d0e76bd20e6a64e6f56bd3a5855954a22bc629

Aliases

arxiv: astro-ph/0412231 · arxiv_version: astro-ph/0412231v2 · doi: 10.48550/arxiv.astro-ph/0412231 · pith_short_12: DEEE4FUR6Y4L · pith_short_16: DEEE4FUR6Y4LZUXN · pith_short_8: DEEE4FUR

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/DEEE4FUR6Y4LZUXNZ5P5HUHHNP \
  | 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: 19084e1691f638bcd2edcf5fd3d0e76bd20e6a64e6f56bd3a5855954a22bc629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244e6887b594d427a32577c198a16dc64d5cb06ad3ebb0c796a04d60526bf155",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-12-09T20:13:18Z",
    "title_canon_sha256": "3b839f5e46941f25ba81da9e0f5e8b3935254cfc7ed2b4ff67756631c4ce9bd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0412231",
    "kind": "arxiv",
    "version": 2
  }
}