Pith Number

pith:24V6DQ7B

pith:2010:24V6DQ7BQUWEP6SFJGCZADTGKC

not attested not anchored not stored refs pending

Testing gaussianity, homogeneity and isotropy with the cosmic microwave background

L. Raul Abramo, Thiago S. Pereira

arxiv:1002.3173 v2 · 2010-02-16 · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24V6DQ7BQUWEP6SFJGCZADTGKC}

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	2026-05-18T02:09:07.521560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d72be1c3e1852c47fa454985900e6650b2e05767a5339e5048556be5606e1413

Aliases

arxiv: 1002.3173 · arxiv_version: 1002.3173v2 · doi: 10.48550/arxiv.1002.3173 · pith_short_12: 24V6DQ7BQUWE · pith_short_16: 24V6DQ7BQUWEP6SF · pith_short_8: 24V6DQ7B

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/24V6DQ7BQUWEP6SFJGCZADTGKC \
  | 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: d72be1c3e1852c47fa454985900e6650b2e05767a5339e5048556be5606e1413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab6f1eb4ef9bb37f6b57130db0d9819685fd1e173e62dfd07850d73c42b6adf3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-02-16T21:05:45Z",
    "title_canon_sha256": "e3bbcba90b37966a047e708e644a7b60a4a548a5b2a615c4dfc57110390b9e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3173",
    "kind": "arxiv",
    "version": 2
  }
}