Pith Number

pith:GYZSRMLK

pith:2002:GYZSRMLKXG6FKFCUSRBQHAD4HD

not attested not anchored not stored refs pending

Simulating Cosmic Microwave Background maps in multi-connected spaces

Alain Riazuelo, Jean-Philippe Uzan, Jeffrey Weeks, Roland Lehoucq

arxiv:astro-ph/0212223 v2 · 2002-12-10 · 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{GYZSRMLKXG6FKFCUSRBQHAD4HD}

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

Cross-frequency SGWB anisotropy from compact topology: CMB B-mode covariance as a transfer probe

Receipt and verification

First computed	2026-07-04T16:31:23.317324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

363328b16ab9bc551454944303807c38f8db9bbff2693630bc96e549c869fc60

Aliases

arxiv: astro-ph/0212223 · arxiv_version: astro-ph/0212223v2 · doi: 10.48550/arxiv.astro-ph/0212223 · pith_short_12: GYZSRMLKXG6F · pith_short_16: GYZSRMLKXG6FKFCU · pith_short_8: GYZSRMLK

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/GYZSRMLKXG6FKFCUSRBQHAD4HD \
  | 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: 363328b16ab9bc551454944303807c38f8db9bbff2693630bc96e549c869fc60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c8bb505464257ce55290ecd305adeed65f40d2ad8724ba37810f7a380cecc0f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-12-10T12:59:36Z",
    "title_canon_sha256": "dd7d367b2601ce9e47cc255ad9e69fede5daa3d4a8362bf05415984ac6e88ebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0212223",
    "kind": "arxiv",
    "version": 2
  }
}