Pith Number

pith:LT55LOVA

pith:2016:LT55LOVA5QKR4UCE4XN3MVCPUB

not attested not anchored not stored refs pending

Uniform convergence to the Q-process

Denis Villemonais, Nicolas Champagnat

arxiv:1611.02473 v2 · 2016-11-08 · 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{LT55LOVA5QKR4UCE4XN3MVCPUB}

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	2026-05-18T00:46:51.535786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cfbd5baa0ec151e5044e5dbb6544fa0579f803982fb6db0dea966329b884f82

Aliases

arxiv: 1611.02473 · arxiv_version: 1611.02473v2 · doi: 10.48550/arxiv.1611.02473 · pith_short_12: LT55LOVA5QKR · pith_short_16: LT55LOVA5QKR4UCE · pith_short_8: LT55LOVA

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/LT55LOVA5QKR4UCE4XN3MVCPUB \
  | 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: 5cfbd5baa0ec151e5044e5dbb6544fa0579f803982fb6db0dea966329b884f82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67eff686b6b8c46729d024665b068da0a604e47ae96b525666870b648563b33c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-08T11:00:57Z",
    "title_canon_sha256": "532297ca51490d806fcc629efb43b775f12129cd95d5ac8391fe86fa107def20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02473",
    "kind": "arxiv",
    "version": 2
  }
}