Pith Number

pith:NWLAUDGC

pith:2013:NWLAUDGCJK2QVXJ2D32C5YGPOX

not attested not anchored not stored refs pending

Holonomic modules associated with multivariate normal probabilities of polyhedra

Tamio Koyama

arxiv:1311.6905 v2 · 2013-11-27 · 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{NWLAUDGCJK2QVXJ2D32C5YGPOX}

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	2026-05-18T01:36:07.981835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d960a0cc24ab50add3a1ef42ee0cf75c4516e7317c48090606379f227101a3d

Aliases

arxiv: 1311.6905 · arxiv_version: 1311.6905v2 · doi: 10.48550/arxiv.1311.6905 · pith_short_12: NWLAUDGCJK2Q · pith_short_16: NWLAUDGCJK2QVXJ2 · pith_short_8: NWLAUDGC

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/NWLAUDGCJK2QVXJ2D32C5YGPOX \
  | 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: 6d960a0cc24ab50add3a1ef42ee0cf75c4516e7317c48090606379f227101a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f799c3125179b264fbcfe373f7423b5982885b465c4b7dbbcfa2e1674461b036",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-11-27T09:38:20Z",
    "title_canon_sha256": "c0a3dd1046e952f6fd6fdc8b141d7c0583b208209f054ba3931115d0e0d54c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6905",
    "kind": "arxiv",
    "version": 2
  }
}