Pith Number

pith:N7WKCN65

pith:2009:N7WKCN65VE22KKV5UVWXIDCL2X

not attested not anchored not stored refs pending

Poisson Dirichlet$(\alpha,\theta)$-Bridge Equations and Coagulation-Fragmentation Duality

Lancelot F. James

arxiv:0908.4436 v6 · 2009-08-31 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7WKCN65VE22KKV5UVWXIDCL2X}

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	2026-05-18T04:42:14.674467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6feca137dda935a52abda56d740c4bd5ed3106ce96f7ff913846dd404fbc74f3

Aliases

arxiv: 0908.4436 · arxiv_version: 0908.4436v6 · doi: 10.48550/arxiv.0908.4436 · pith_short_12: N7WKCN65VE22 · pith_short_16: N7WKCN65VE22KKV5 · pith_short_8: N7WKCN65

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/N7WKCN65VE22KKV5UVWXIDCL2X \
  | 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: 6feca137dda935a52abda56d740c4bd5ed3106ce96f7ff913846dd404fbc74f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fef897e474ba11bd62ad993910d398ee09ff6bbe1b4dc91e88aaa774eabc1e2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-31T11:10:40Z",
    "title_canon_sha256": "3f0442d42bab997cd9326fdd9ad5052e74a29699994a313b3b6993d682d65dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4436",
    "kind": "arxiv",
    "version": 6
  }
}