Pith Number

pith:3ZNL3P6G

pith:2004:3ZNL3P6GMJT43OJ77NNBO3TD5K

not attested not anchored not stored refs pending

Spatiospectral concentration on a sphere

F. A. Dahlen, Frederik J. Simons, Mark A. Wieczorek

arxiv:math/0408424 v1 · 2004-08-31 · math.CA · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZNL3P6GMJT43OJ77NNBO3TD5K}

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	2026-05-18T03:20:59.207520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5abdbfc66267cdb93ffb5a176e63eaa36005d71450747a9c478a6de38e1a00

Aliases

arxiv: math/0408424 · arxiv_version: math/0408424v1 · doi: 10.48550/arxiv.math/0408424 · pith_short_12: 3ZNL3P6GMJT4 · pith_short_16: 3ZNL3P6GMJT43OJ7 · pith_short_8: 3ZNL3P6G

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/3ZNL3P6GMJT43OJ77NNBO3TD5K \
  | 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: de5abdbfc66267cdb93ffb5a176e63eaa36005d71450747a9c478a6de38e1a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0233cc7800c937f8f049e95eeb6c92e712b46887b58be6dc7b95c525341e1de",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-08-31T00:55:19Z",
    "title_canon_sha256": "5d1617865b32f01f439cbb38f9e92753a241fd4c538dc4ece2e7b79e19b2abdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408424",
    "kind": "arxiv",
    "version": 1
  }
}