Pith Number

pith:N2FPECIZ

pith:2011:N2FPECIZEGYDNJN2PHPIDZUCQ4

not attested not anchored not stored refs pending

On the central limit theorem for some birth and death process

Tymoteusz Chojecki

arxiv:1103.0136 v3 · 2011-03-01 · 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{N2FPECIZEGYDNJN2PHPIDZUCQ4}

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	2026-05-18T04:18:34.491176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8af2091921b036a5ba79de81e6828708920dce541a20ff19dfe0fab90fa5e8

Aliases

arxiv: 1103.0136 · arxiv_version: 1103.0136v3 · doi: 10.48550/arxiv.1103.0136 · pith_short_12: N2FPECIZEGYD · pith_short_16: N2FPECIZEGYDNJN2 · pith_short_8: N2FPECIZ

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/N2FPECIZEGYDNJN2PHPIDZUCQ4 \
  | 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: 6e8af2091921b036a5ba79de81e6828708920dce541a20ff19dfe0fab90fa5e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b01e6b1dec69b4d46c2dfcf1d1dd8756bfa7e0a579e6da7392964997410925c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-01T11:15:25Z",
    "title_canon_sha256": "ff64ef687a993fb85cfbaef3cd239ac3965a1ec213ca65badb11f05a52f959cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0136",
    "kind": "arxiv",
    "version": 3
  }
}