Pith Number

pith:CFIK7EYJ

pith:2016:CFIK7EYJ5DSEO5BUK5SE5YZEXX

not attested not anchored not stored refs pending

Fast Fourier Transforms for Spherical Gauss-Laguerre Basis Functions

Christian W\"ulker, J\"urgen Prestin

arxiv:1604.05140 v3 · 2016-04-18 · 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{CFIK7EYJ5DSEO5BUK5SE5YZEXX}

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	2026-05-18T00:56:12.196692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1150af9309e8e447743457644ee324bdc4ee94da0a9b6393f4b52c2d99daacaa

Aliases

arxiv: 1604.05140 · arxiv_version: 1604.05140v3 · doi: 10.48550/arxiv.1604.05140 · pith_short_12: CFIK7EYJ5DSE · pith_short_16: CFIK7EYJ5DSEO5BU · pith_short_8: CFIK7EYJ

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/CFIK7EYJ5DSEO5BUK5SE5YZEXX \
  | 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: 1150af9309e8e447743457644ee324bdc4ee94da0a9b6393f4b52c2d99daacaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ac0d821b57faa7c44f9081c30aac3283be3d509542bea10bb7d965b9b8921c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-04-18T13:42:25Z",
    "title_canon_sha256": "1caf7195a6428c81dab96f285d37f958672b95bc74895bf60f11d64be0cd94ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05140",
    "kind": "arxiv",
    "version": 3
  }
}