Pith Number

pith:R4XILT2L

pith:2010:R4XILT2LUZXV4OOTDOSQVMKUBB

not attested not anchored not stored refs pending

Generalized Dirichlet distributions on the ball and moments

Alain Rouault, Fabrice Gamboa, Franck Barthe, Li-Vang Lozada-Chang

arxiv:1002.1544 v2 · 2010-02-08 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4XILT2LUZXV4OOTDOSQVMKUBB}

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	2026-05-18T04:38:59.239121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2e85cf4ba66f5e39d31ba50ab154085ba2c9c4b4f6abb625e4b87c5f04cdf5

Aliases

arxiv: 1002.1544 · arxiv_version: 1002.1544v2 · doi: 10.48550/arxiv.1002.1544 · pith_short_12: R4XILT2LUZXV · pith_short_16: R4XILT2LUZXV4OOT · pith_short_8: R4XILT2L

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/R4XILT2LUZXV4OOTDOSQVMKUBB \
  | 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: 8f2e85cf4ba66f5e39d31ba50ab154085ba2c9c4b4f6abb625e4b87c5f04cdf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b9bc3039e3e1b323092a43e2e691f24bd417fc8dba6de06c4dfbe4669c14833",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-02-08T08:19:13Z",
    "title_canon_sha256": "7ac78edafcd7a5e1754681b6f6de59e9494dd672fc4bdf648c76bcb0b6452d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1544",
    "kind": "arxiv",
    "version": 2
  }
}