pith. sign in
Pith Number

pith:Q5U6UMFA

pith:2016:Q5U6UMFAJTCQFD3SG7F7FZUNET
not attested not anchored not stored refs pending

Wright-Fisher construction of the two-parameter Poisson-Dirichlet diffusion

Cristina Costantini, Dario Spano, Matteo Ruggiero, Pierpaolo De Blasi, Stewart N. Ethier

arxiv:1601.06064 v3 · 2016-01-22 · math.PR · math.ST · q-bio.PE · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Q5U6UMFAJTCQFD3SG7F7FZUNET}

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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 2026-05-17T23:54:07.770824Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8769ea30a04cc5028f7237cbf2e68d24ef810b76588db5c42fb360698eba6312

Aliases

arxiv: 1601.06064 · arxiv_version: 1601.06064v3 · doi: 10.48550/arxiv.1601.06064 · pith_short_12: Q5U6UMFAJTCQ · pith_short_16: Q5U6UMFAJTCQFD3S · pith_short_8: Q5U6UMFA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q5U6UMFAJTCQFD3SG7F7FZUNET \
  | 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: 8769ea30a04cc5028f7237cbf2e68d24ef810b76588db5c42fb360698eba6312
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4069e2dc0e6711f5f64d923ff948727286fd90a8cbaa5c738328dfd51fea9d2c",
    "cross_cats_sorted": [
      "math.ST",
      "q-bio.PE",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-22T16:35:09Z",
    "title_canon_sha256": "ae01f78e2d788cf9a0547d26d6dc5b5663f6b2b5d5cb09b999551e7b7979bea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06064",
    "kind": "arxiv",
    "version": 3
  }
}