Pith Number

pith:EZ65KNWS

pith:2011:EZ65KNWSFUTGXYH4HO6DVFVVSB

not attested not anchored not stored refs pending

Splitting trees with neutral Poissonian mutations II: Largest and Oldest families

Amaury Lambert (LPMA), Iecn), Nicolas Champagnat (INRIA Sophia Antipolis / INRIA Lorraine / IECN

arxiv:1108.4812 v1 · 2011-08-24 · 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{EZ65KNWSFUTGXYH4HO6DVFVVSB}

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	2026-05-18T03:38:56.336983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

267dd536d22d266be0fc3bbc3a96b5907598cc7e9ba6b2521aa07e9017f21f00

Aliases

arxiv: 1108.4812 · arxiv_version: 1108.4812v1 · doi: 10.48550/arxiv.1108.4812 · pith_short_12: EZ65KNWSFUTG · pith_short_16: EZ65KNWSFUTGXYH4 · pith_short_8: EZ65KNWS

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/EZ65KNWSFUTGXYH4HO6DVFVVSB \
  | 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: 267dd536d22d266be0fc3bbc3a96b5907598cc7e9ba6b2521aa07e9017f21f00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e314d9d5ae4d84ee804dcce89926396af5bf0eb16bd139e25d724e1ccdae17bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-24T11:14:12Z",
    "title_canon_sha256": "3f6bbf0b231674f100c8e6db5946aa9b41f7c7666a44a96686bd521df6886122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4812",
    "kind": "arxiv",
    "version": 1
  }
}