Pith Number

pith:YW5KJKD2

pith:2013:YW5KJKD277BUBZM4FXY6J43TDL

not attested not anchored not stored refs pending

The internal branch lengths of the Kingman coalescent

G\"otz Kersting, Iulia Dahmer

arxiv:1303.4562 v2 · 2013-03-19 · 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{YW5KJKD277BUBZM4FXY6J43TDL}

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	2026-05-18T02:00:59.255152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5baa4a87affc340e59c2df1e4f3731af2e1414deec1b6debf4776566a567463

Aliases

arxiv: 1303.4562 · arxiv_version: 1303.4562v2 · doi: 10.48550/arxiv.1303.4562 · pith_short_12: YW5KJKD277BU · pith_short_16: YW5KJKD277BUBZM4 · pith_short_8: YW5KJKD2

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/YW5KJKD277BUBZM4FXY6J43TDL \
  | 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: c5baa4a87affc340e59c2df1e4f3731af2e1414deec1b6debf4776566a567463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b0990369c1e880fc9d4593537ed567b7343cb75052960ad7cbeb24fb66e3c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-03-19T12:17:20Z",
    "title_canon_sha256": "2b2326767f2707cf493d76ee408b6a3fd3de47ac34b38661a98140ad534e1567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4562",
    "kind": "arxiv",
    "version": 2
  }
}