Pith Number

pith:P3RFAWT7

pith:2007:P3RFAWT7RUQ27REE2ZLM4GCDC4

not attested not anchored not stored refs pending

New Dirichlet Mean Identities

Lancelot F. James

arxiv:0708.0614 v2 · 2007-08-04 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3RFAWT7RUQ27REE2ZLM4GCDC4}

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	2026-05-18T04:09:15.127172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee2505a7f8d21afc484d656ce184317364f1265c492cb8a5f3fdeaa31c3f606

Aliases

arxiv: 0708.0614 · arxiv_version: 0708.0614v2 · doi: 10.48550/arxiv.0708.0614 · pith_short_12: P3RFAWT7RUQ2 · pith_short_16: P3RFAWT7RUQ27REE · pith_short_8: P3RFAWT7

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/P3RFAWT7RUQ27REE2ZLM4GCDC4 \
  | 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: 7ee2505a7f8d21afc484d656ce184317364f1265c492cb8a5f3fdeaa31c3f606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0c3b3214cbeb8b44b1cda7016003cb2f3f826228bb240ce686495be95e9344",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-08-04T08:11:31Z",
    "title_canon_sha256": "99d68bbd7fd80eb9b3ab2e8fee2677dede6f5dc861d1693c23f4204086aa376c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0614",
    "kind": "arxiv",
    "version": 2
  }
}