Pith Number

pith:JKICTEL6

pith:2012:JKICTEL6W7U5UGPGGJXCI5BGOH

not attested not anchored not stored refs pending

Central limit approximations for Markov population processes with countably many types

A.D. Barbour, M.J. Luczak

arxiv:1201.5538 v1 · 2012-01-26 · 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{JKICTEL6W7U5UGPGGJXCI5BGOH}

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	2026-05-18T04:03:45.989506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a9029917eb7e9da19e6326e24742671c3b8ea5c6bf62325092e269ec96b019e

Aliases

arxiv: 1201.5538 · arxiv_version: 1201.5538v1 · doi: 10.48550/arxiv.1201.5538 · pith_short_12: JKICTEL6W7U5 · pith_short_16: JKICTEL6W7U5UGPG · pith_short_8: JKICTEL6

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/JKICTEL6W7U5UGPGGJXCI5BGOH \
  | 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: 4a9029917eb7e9da19e6326e24742671c3b8ea5c6bf62325092e269ec96b019e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "497d381505ef04f78cf8aee286947c23b7ead1f3b677ea1dd5b7cebc7abd118b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-26T14:43:38Z",
    "title_canon_sha256": "b2c3ac9cd55866ce1b3c9a105a464c947cf538b2de706d7dbf43f9477582bbca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5538",
    "kind": "arxiv",
    "version": 1
  }
}