Pith Number

pith:CRFDFNV6

pith:2010:CRFDFNV6EFDQF6TOA2ULCRB5YY

not attested not anchored not stored refs pending

Smaller population size at the MRCA time for stationary branching processes

Jean-Fran\c{c}ois Delmas (CERMICS), Yu-Ting Chen

arxiv:1009.0814 v1 · 2010-09-04 · math.PR · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRFDFNV6EFDQF6TOA2ULCRB5YY}

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	2026-05-18T04:41:24.552751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

144a32b6be214702fa6e06a8b1443dc634d5b91e3b2bba47666e627c296c943c

Aliases

arxiv: 1009.0814 · arxiv_version: 1009.0814v1 · doi: 10.48550/arxiv.1009.0814 · pith_short_12: CRFDFNV6EFDQ · pith_short_16: CRFDFNV6EFDQF6TO · pith_short_8: CRFDFNV6

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/CRFDFNV6EFDQF6TOA2ULCRB5YY \
  | 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: 144a32b6be214702fa6e06a8b1443dc634d5b91e3b2bba47666e627c296c943c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5622a83bc4c7d9c39c954629c0d96e2659aa699271827d6f82081a5c49f379fd",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-04T07:38:29Z",
    "title_canon_sha256": "e3607fb47ebecd4a6a0f3c09fd168d0d5dc1947c632a36afc638e3318282a56e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0814",
    "kind": "arxiv",
    "version": 1
  }
}