Pith Number

pith:45PO3GPS

pith:2015:45PO3GPS66LU7WRJVOGXB3BMLU

not attested not anchored not stored refs pending

A fast analysis-based discrete Hankel transform using asymptotic expansions

Alex Townsend

arxiv:1501.01652 v2 · 2015-01-07 · 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{45PO3GPS66LU7WRJVOGXB3BMLU}

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	2026-05-18T02:03:59.978650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e75eed99f2f7974fda29ab8d70ec2c5d2818cd6ed17085fd1a605c006d50c52d

Aliases

arxiv: 1501.01652 · arxiv_version: 1501.01652v2 · doi: 10.48550/arxiv.1501.01652 · pith_short_12: 45PO3GPS66LU · pith_short_16: 45PO3GPS66LU7WRJ · pith_short_8: 45PO3GPS

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/45PO3GPS66LU7WRJVOGXB3BMLU \
  | 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: e75eed99f2f7974fda29ab8d70ec2c5d2818cd6ed17085fd1a605c006d50c52d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04274935aee1eb10fd327e19cb5429f3474b212b9ed26b6089924ff877425f21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-01-07T21:25:10Z",
    "title_canon_sha256": "5677f370fbc09b4d16a1d746cd05d3a84bb8cd4f7222c04b811663c82968f5d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01652",
    "kind": "arxiv",
    "version": 2
  }
}