Pith Number

pith:KAQBRFAX

pith:2013:KAQBRFAXTEGFQ26WKHHCYU34DR

not attested not anchored not stored refs pending

Expansions for a fundamental solution of Laplace's equation on ${\mathbb R^3}$ in 5-cyclidic harmonics

Hans Volkmer, Howard S. Cohl

arxiv:1311.3514 v1 · 2013-11-14 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAQBRFAXTEGFQ26WKHHCYU34DR}

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	2026-05-18T03:07:10.716056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5020189417990c586bd651ce2c537c1c7bfa24f23533dee8fe5b49d2438db818

Aliases

arxiv: 1311.3514 · arxiv_version: 1311.3514v1 · doi: 10.48550/arxiv.1311.3514 · pith_short_12: KAQBRFAXTEGF · pith_short_16: KAQBRFAXTEGFQ26W · pith_short_8: KAQBRFAX

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/KAQBRFAXTEGFQ26WKHHCYU34DR \
  | 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: 5020189417990c586bd651ce2c537c1c7bfa24f23533dee8fe5b49d2438db818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87c0673bd86fa00ce503b1b635971e4e3b337533dfc6530189c5d2e6e6394b3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-14T14:31:49Z",
    "title_canon_sha256": "f29b7f248672c72fa73624a760d623ec81ed66345a8e016ce13a71500ab99634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3514",
    "kind": "arxiv",
    "version": 1
  }
}