Pith Number

pith:5CZTRO7D

pith:2013:5CZTRO7DSC2AFPVTSE6CKIORPI

not attested not anchored not stored refs pending

The expected value of the squared euclidean cophenetic metric under the Yule and the uniform models

Arnau Mir, Francesc Rossello, Gabriel Cardona

arxiv:1301.5131 v1 · 2013-01-22 · q-bio.PE · cs.DM · 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{5CZTRO7DSC2AFPVTSE6CKIORPI}

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	2026-05-18T03:35:52.941555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8b338bbe390b402beb3913c2521d17a1f707f30c3121f116288b518682a00c3

Aliases

arxiv: 1301.5131 · arxiv_version: 1301.5131v1 · doi: 10.48550/arxiv.1301.5131 · pith_short_12: 5CZTRO7DSC2A · pith_short_16: 5CZTRO7DSC2AFPVT · pith_short_8: 5CZTRO7D

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/5CZTRO7DSC2AFPVTSE6CKIORPI \
  | 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: e8b338bbe390b402beb3913c2521d17a1f707f30c3121f116288b518682a00c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b920056dc65534878c1d14d73abbae9c0d2843abd15f7b3813d9a285d9655e78",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-01-22T10:38:01Z",
    "title_canon_sha256": "b9091de4ca7417a245d614d0a9d9441356ada69c795b3c077fb928b9d9806d59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5131",
    "kind": "arxiv",
    "version": 1
  }
}