Pith Number

pith:XWP6XGAV

pith:2012:XWP6XGAVG67WGVG4RUTH5CARF6

not attested not anchored not stored refs pending

Calculation of orthant probabilities by the holonomic gradient method

Akimichi Takemura, Tamio Koyama

arxiv:1211.6822 v2 · 2012-11-29 · cs.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{XWP6XGAVG67WGVG4RUTH5CARF6}

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	2026-05-18T03:36:06.130894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd9feb981537bf6354dc8d267e88112f9e520d2f74a5b32c297ffd7220556858

Aliases

arxiv: 1211.6822 · arxiv_version: 1211.6822v2 · doi: 10.48550/arxiv.1211.6822 · pith_short_12: XWP6XGAVG67W · pith_short_16: XWP6XGAVG67WGVG4 · pith_short_8: XWP6XGAV

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/XWP6XGAVG67WGVG4RUTH5CARF6 \
  | 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: bd9feb981537bf6354dc8d267e88112f9e520d2f74a5b32c297ffd7220556858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35ebaaf2ed827cd4d4e372c7ec8db8752c5defdfada5a23b94951bade8b7e067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2012-11-29T07:03:24Z",
    "title_canon_sha256": "14a3c301a381c561aeef255e54cf6786ddb3e7a2f820dd0476d0e7aa39370069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6822",
    "kind": "arxiv",
    "version": 2
  }
}