Pith Number

pith:CV55YSEI

pith:2008:CV55YSEIXA33NWFYGHK7P5FTZZ

not attested not anchored not stored refs pending

Fast, exact (but unstable) spin spherical harmonic transforms

J. D. McEwen

arxiv:0807.4494 v2 · 2008-07-28 · astro-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CV55YSEIXA33NWFYGHK7P5FTZZ}

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	2026-05-18T04:10:10.886781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

157bdc4888b837b6d8b831d5f7f4b3ce79d6eb84d78e77a646542e196ad86f17

Aliases

arxiv: 0807.4494 · arxiv_version: 0807.4494v2 · doi: 10.48550/arxiv.0807.4494 · pith_short_12: CV55YSEIXA33 · pith_short_16: CV55YSEIXA33NWFY · pith_short_8: CV55YSEI

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/CV55YSEIXA33NWFYGHK7P5FTZZ \
  | 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: 157bdc4888b837b6d8b831d5f7f4b3ce79d6eb84d78e77a646542e196ad86f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d593c39528ad8ba0ac2cf0de9ab40627cadb619ee19791476e78ba21fa114a7",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-07-28T17:10:11Z",
    "title_canon_sha256": "0d618320a7331fd01fe3a29ef43a49d0bb7fee0ac30cd14989f28daf3ae33c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4494",
    "kind": "arxiv",
    "version": 2
  }
}