Pith Number

pith:3KXLEKUM

pith:2026:3KXLEKUMV5QBQRTNPVLE76GYQC

not attested not anchored not stored refs pending

Phylogenetic dynamics of MRCA ages and empirical moments of a Brownian trait

Gilles Didier

arxiv:2605.29736 v1 · 2026-05-28 · q-bio.PE · 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{3KXLEKUMV5QBQRTNPVLE76GYQC}

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	2026-05-29T01:05:57.365973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daaeb22a8caf6018466d7d564ff8d8809521f5c964521b04c9a7180c83aa8e5e

Aliases

arxiv: 2605.29736 · arxiv_version: 2605.29736v1 · doi: 10.48550/arxiv.2605.29736 · pith_short_12: 3KXLEKUMV5QB · pith_short_16: 3KXLEKUMV5QBQRTN · pith_short_8: 3KXLEKUM

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/3KXLEKUMV5QBQRTNPVLE76GYQC \
  | 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: daaeb22a8caf6018466d7d564ff8d8809521f5c964521b04c9a7180c83aa8e5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce2f15382fcb789ebd7770449ad0e4b4d1c3889e15cebbfe650a70b26da84196",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-05-28T10:29:21Z",
    "title_canon_sha256": "823fb6d4e2a17ba30481df33522191ef1152e4167ab91cc6c08da5e247d9a694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29736",
    "kind": "arxiv",
    "version": 1
  }
}