Pith Number

pith:HWAI63GH

pith:2013:HWAI63GHLKTZG64BXX3DNKN4PO

not attested not anchored not stored refs pending

Calculating the normalising constant of the Bingham distribution on the sphere using the holonomic gradient method

Alfred Kume, Tomonari Sei

arxiv:1304.7973 v1 · 2013-04-30 · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWAI63GHLKTZG64BXX3DNKN4PO}

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	2026-05-18T03:26:51.275798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d808f6cc75aa7937b81bdf636a9bc7bbe50e57a2b80605a20e387732f2381a1

Aliases

arxiv: 1304.7973 · arxiv_version: 1304.7973v1 · doi: 10.48550/arxiv.1304.7973 · pith_short_12: HWAI63GHLKTZ · pith_short_16: HWAI63GHLKTZG64B · pith_short_8: HWAI63GH

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/HWAI63GHLKTZG64BXX3DNKN4PO \
  | 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: 3d808f6cc75aa7937b81bdf636a9bc7bbe50e57a2b80605a20e387732f2381a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0168878f2a29351fbf7449d7a445598d746cf2b554556b8b7700b68a251074ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2013-04-30T12:22:17Z",
    "title_canon_sha256": "a95bd344abd5540621abb1fc641a67e4b2183fc4e19f0b7c556a5500624fd9d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7973",
    "kind": "arxiv",
    "version": 1
  }
}