Pith Number

pith:VHXG3ALK

pith:2014:VHXG3ALKVL7JR2BFHUCSOOLHOC

not attested not anchored not stored refs pending

The Spherical Multipole Expansion of a Triangle

John P. Barrett, Joseph A. Formaggio, Thomas J. Corona

arxiv:1403.5362 v2 · 2014-03-21 · physics.comp-ph · 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{VHXG3ALKVL7JR2BFHUCSOOLHOC}

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	2026-05-18T01:42:57.515349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9ee6d816aaafe98e8253d0527396770b05a883da4043506f4f8360cd2fc45b7

Aliases

arxiv: 1403.5362 · arxiv_version: 1403.5362v2 · doi: 10.48550/arxiv.1403.5362 · pith_short_12: VHXG3ALKVL7J · pith_short_16: VHXG3ALKVL7JR2BF · pith_short_8: VHXG3ALK

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/VHXG3ALKVL7JR2BFHUCSOOLHOC \
  | 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: a9ee6d816aaafe98e8253d0527396770b05a883da4043506f4f8360cd2fc45b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55e938769fe954a444bdb60290eb5fc2431e26b44bb8477b8aade361f4cdd1e9",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2014-03-21T04:45:33Z",
    "title_canon_sha256": "b0bece4fa363b134e77faab3faae549db8fae7d08d45676432530c630c06c214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5362",
    "kind": "arxiv",
    "version": 2
  }
}