Pith Number

pith:W3NWMMJ3

pith:2009:W3NWMMJ3Q4AFQV276QG5N4OL5Z

not attested not anchored not stored refs pending

Limit theorems for Markov processes indexed by continuous time Galton--Watson trees

Jean-Fran\c{c}ois Delmas, Laurence Marsalle, Viet Chi Tran, Vincent Bansaye

arxiv:0911.1973 v3 · 2009-11-10 · 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{W3NWMMJ3Q4AFQV276QG5N4OL5Z}

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	2026-05-18T04:02:12.191456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6db66313b870058575ff40dd6f1cbee7de31a8e69d7a49c41462cc223dae00d

Aliases

arxiv: 0911.1973 · arxiv_version: 0911.1973v3 · doi: 10.48550/arxiv.0911.1973 · pith_short_12: W3NWMMJ3Q4AF · pith_short_16: W3NWMMJ3Q4AFQV27 · pith_short_8: W3NWMMJ3

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/W3NWMMJ3Q4AFQV276QG5N4OL5Z \
  | 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: b6db66313b870058575ff40dd6f1cbee7de31a8e69d7a49c41462cc223dae00d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf32ea3e4d91915cd56e7204f26f6b0aa0220881e5d42e7ccb3c8ba1972f1f31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-10T19:17:40Z",
    "title_canon_sha256": "b2c93cab3946a3efe7fcf7c95d6fca30044d3e0cc4f88f297a41876a22deb06c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1973",
    "kind": "arxiv",
    "version": 3
  }
}