Pith Number

pith:V4ZSFXEA

pith:2010:V4ZSFXEAIW2LZJVAODVI6F45JW

not attested not anchored not stored refs pending

An asymptotic sampling formula for the coalescent with Recombination

Paul A. Jenkins, Yun S. Song

arxiv:1010.3112 v1 · 2010-10-15 · 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{V4ZSFXEAIW2LZJVAODVI6F45JW}

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	2026-05-18T04:39:17.761579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af3322dc8045b4bca6a070ea8f179d4da34f71674275ad5b0bb2a83d3bfc2f80

Aliases

arxiv: 1010.3112 · arxiv_version: 1010.3112v1 · doi: 10.48550/arxiv.1010.3112 · pith_short_12: V4ZSFXEAIW2L · pith_short_16: V4ZSFXEAIW2LZJVA · pith_short_8: V4ZSFXEA

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/V4ZSFXEAIW2LZJVAODVI6F45JW \
  | 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: af3322dc8045b4bca6a070ea8f179d4da34f71674275ad5b0bb2a83d3bfc2f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "250c1cfc98ae556fc3f159acf285aa1bd3b1ba1d6217eae65dcaff9531475b97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-15T09:52:52Z",
    "title_canon_sha256": "2cfb2cb3dad0b2eb1dde4508fa5ed979bda5929fbff52d721710cab09139f908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3112",
    "kind": "arxiv",
    "version": 1
  }
}