Pith Number

pith:YCWXRGYH

pith:2012:YCWXRGYHWBMQYXJXKA5ZTMVDKB

not attested not anchored not stored refs pending

Birth and death processes on certain random trees: Classification and stationary laws

Guy Fayolle (INRIA Rocquencourt), Jean-Marc Lasgouttes (INRIA Rocquencourt), Maxim Krikun (LLRS)

arxiv:1207.3664 v1 · 2012-07-16 · 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{YCWXRGYHWBMQYXJXKA5ZTMVDKB}

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	2026-05-18T03:50:59.917435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0ad789b07b0590c5d37503b99b2a35069dd596f95e242236d061f6df4bb9d7d

Aliases

arxiv: 1207.3664 · arxiv_version: 1207.3664v1 · doi: 10.48550/arxiv.1207.3664 · pith_short_12: YCWXRGYHWBMQ · pith_short_16: YCWXRGYHWBMQYXJX · pith_short_8: YCWXRGYH

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/YCWXRGYHWBMQYXJXKA5ZTMVDKB \
  | 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: c0ad789b07b0590c5d37503b99b2a35069dd596f95e242236d061f6df4bb9d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4147d0597a6ee96dadfeaf2a681a79f398e163543ffd0aa7e00b2e20ff1724ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-16T13:06:10Z",
    "title_canon_sha256": "8762dec30443d341803c642009989f0417ab2797e29964e26a8596c4d1c3eaeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3664",
    "kind": "arxiv",
    "version": 1
  }
}