Pith Number

pith:WCZWTWOR

pith:2010:WCZWTWOR35NN2VNTTU6ZPVBOPD

not attested not anchored not stored refs pending

Fluctuations of the occupation times for branching system starting from infinitely divisible point processes

Piotr Milos

arxiv:1001.5142 v2 · 2010-01-28 · 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{WCZWTWOR35NN2VNTTU6ZPVBOPD}

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	2026-05-18T04:14:18.271510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0b369d9d1df5add55b39d3d97d42e78da042875dd9e196c0cd1a31b471cda7f

Aliases

arxiv: 1001.5142 · arxiv_version: 1001.5142v2 · doi: 10.48550/arxiv.1001.5142 · pith_short_12: WCZWTWOR35NN · pith_short_16: WCZWTWOR35NN2VNT · pith_short_8: WCZWTWOR

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/WCZWTWOR35NN2VNTTU6ZPVBOPD \
  | 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: b0b369d9d1df5add55b39d3d97d42e78da042875dd9e196c0cd1a31b471cda7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e31d852c2d76045d15a34084e67c5e74a25d144616c13d5fa089438dae96cb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-28T10:09:02Z",
    "title_canon_sha256": "8360f2c378b0dddd094996bd0f915f48b6c5f466f4f5f4ac2de7b7707db80ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5142",
    "kind": "arxiv",
    "version": 2
  }
}