Pith Number

pith:QCKKQ3NJ

pith:2001:QCKKQ3NJSJ4NTYWQ3PCTULFYZN

not attested not anchored not stored refs pending

Testing non-Gaussianity in CMB Maps by Morphological Statistic

Sergei F. Shandarin

arxiv:astro-ph/0107319 v2 · 2001-07-17 · 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{QCKKQ3NJSJ4NTYWQ3PCTULFYZN}

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	2026-05-18T04:22:32.438085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8094a86da99278d9e2d0dbc53a2cb8cb632c0dc56214c6b26c214d109422f1ab

Aliases

arxiv: astro-ph/0107319 · arxiv_version: astro-ph/0107319v2 · doi: 10.48550/arxiv.astro-ph/0107319 · pith_short_12: QCKKQ3NJSJ4N · pith_short_16: QCKKQ3NJSJ4NTYWQ · pith_short_8: QCKKQ3NJ

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/QCKKQ3NJSJ4NTYWQ3PCTULFYZN \
  | 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: 8094a86da99278d9e2d0dbc53a2cb8cb632c0dc56214c6b26c214d109422f1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c38b73d49eac9cb97a76d323fccf13b4d65958c07469c54570636681460b20c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-07-17T21:14:40Z",
    "title_canon_sha256": "baeb7ef14ac8db324c63399f4a9c3172424394b1f3ac8d90ce31dce8e11cbcda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0107319",
    "kind": "arxiv",
    "version": 2
  }
}