Pith Number

pith:VU662MDY

pith:2015:VU662MDYBOZG2XDMUULHQ3M6DY

not attested not anchored not stored refs pending

The $\lambda$-invariant measures of subcritical Bienaym\'e--Galton--Watson processes

Pascal Maillard

arxiv:1508.00845 v2 · 2015-08-04 · 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{VU662MDYBOZG2XDMUULHQ3M6DY}

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	2026-05-18T00:12:57.247726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad3ded30780bb26d5c6ca516786d9e1e3a19c7c20e9a3a7fd4d3aaa09d0fef36

Aliases

arxiv: 1508.00845 · arxiv_version: 1508.00845v2 · doi: 10.48550/arxiv.1508.00845 · pith_short_12: VU662MDYBOZG · pith_short_16: VU662MDYBOZG2XDM · pith_short_8: VU662MDY

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/VU662MDYBOZG2XDMUULHQ3M6DY \
  | 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: ad3ded30780bb26d5c6ca516786d9e1e3a19c7c20e9a3a7fd4d3aaa09d0fef36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a079aac1880ebc7cfba671046c98439f2397a0d9f12e79b524a2a688e1257343",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-04T17:40:30Z",
    "title_canon_sha256": "495b7d34a548995ced83e87a9b391218300efd47bf524711c3bf197530c2c674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00845",
    "kind": "arxiv",
    "version": 2
  }
}