Pith Number

pith:ULLOGRGS

pith:2018:ULLOGRGSBJZ5KQX626G53KHU7A

not attested not anchored not stored refs pending

Galton-Watson and branching process representations of the normalized Perron-Frobenius eigenvector

Joseba Dalmau, Rapha\"el Cerf

arxiv:1803.08846 v1 · 2018-03-23 · 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{ULLOGRGSBJZ5KQX626G53KHU7A}

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	2026-05-18T00:20:18.401612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d6e344d20a73d542fed78ddda8f4f81164e960763562baba426040911f597e

Aliases

arxiv: 1803.08846 · arxiv_version: 1803.08846v1 · doi: 10.48550/arxiv.1803.08846 · pith_short_12: ULLOGRGSBJZ5 · pith_short_16: ULLOGRGSBJZ5KQX6 · pith_short_8: ULLOGRGS

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/ULLOGRGSBJZ5KQX626G53KHU7A \
  | 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: a2d6e344d20a73d542fed78ddda8f4f81164e960763562baba426040911f597e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085cd1ad8b9bd7c52329a2cf21116da1e8b893f8f970c20cc8960023b545526e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-23T15:47:02Z",
    "title_canon_sha256": "58d3e09fd0dff36349963c4f01c1397e578d1665c58ecf494ce26cd0b87266f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08846",
    "kind": "arxiv",
    "version": 1
  }
}