Pith Number

pith:4OTFLSDX

pith:2015:4OTFLSDXXXLSYZNRZBCML5UG6P

not attested not anchored not stored refs pending

A fast FFT-based discrete Legendre transform

Alex Townsend, Nicholas Hale

arxiv:1505.00354 v2 · 2015-05-02 · 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{4OTFLSDXXXLSYZNRZBCML5UG6P}

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	2026-05-18T01:31:11.053751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a655c877bdd72c65b1c844c5f686f3d2961f36cedfc46c4c6d73497384d04d

Aliases

arxiv: 1505.00354 · arxiv_version: 1505.00354v2 · doi: 10.48550/arxiv.1505.00354 · pith_short_12: 4OTFLSDXXXLS · pith_short_16: 4OTFLSDXXXLSYZNR · pith_short_8: 4OTFLSDX

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/4OTFLSDXXXLSYZNRZBCML5UG6P \
  | 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: e3a655c877bdd72c65b1c844c5f686f3d2961f36cedfc46c4c6d73497384d04d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5341bb4948d7b4b36b65e922a7e918ea838c3e540b63799ae2fc1d4bda98187",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-05-02T16:45:55Z",
    "title_canon_sha256": "4884d3bd5ac5d7783b96a609db54b0158c0f5a38cc989c44ae6819ed869792f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00354",
    "kind": "arxiv",
    "version": 2
  }
}