Pith Number

pith:4X2RRDJY

pith:2022:4X2RRDJYH27TBC2VXZOGC3SMWX

not attested not anchored not stored refs pending

Peanut harmonic expansion for a fundamental solution of Laplace's equation in flat-ring coordinates

Hans Volkmer, Howard S. Cohl, Lijuan Bi

arxiv:2202.08923 v1 · 2022-02-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4X2RRDJYH27TBC2VXZOGC3SMWX}

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	2026-07-05T03:58:07.859222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f5188d383ebf308b55be5c616e4cb5c14f587c96d0ff5bdbc15b5bbf9c98c1

Aliases

arxiv: 2202.08923 · arxiv_version: 2202.08923v1 · doi: 10.48550/arxiv.2202.08923 · pith_short_12: 4X2RRDJYH27T · pith_short_16: 4X2RRDJYH27TBC2V · pith_short_8: 4X2RRDJY

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/4X2RRDJYH27TBC2VXZOGC3SMWX \
  | 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: e5f5188d383ebf308b55be5c616e4cb5c14f587c96d0ff5bdbc15b5bbf9c98c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46f3d82f36ac9315bc195ecacd9fa88c50b002566c618255f9aa5a80d25299fd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-02-17T22:24:28Z",
    "title_canon_sha256": "efc398c9acfa5a2e86375649daa27abab59fe1e61f74d9b3918c7fa1d6775f71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.08923",
    "kind": "arxiv",
    "version": 1
  }
}