Pith Number

pith:LX4H242Z

pith:2016:LX4H242ZG3CRE37MDL2V6LW3J5

not attested not anchored not stored refs pending

Central limit theorem analogues for multicolour urn models

Noela M\"uller

arxiv:1604.02964 v5 · 2016-04-11 · 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{LX4H242ZG3CRE37MDL2V6LW3J5}

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	2026-05-17T23:51:34.944224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df87d735936c5126fec1af55f2edb4f4e956d5b665eccb93387517038610518

Aliases

arxiv: 1604.02964 · arxiv_version: 1604.02964v5 · doi: 10.48550/arxiv.1604.02964 · pith_short_12: LX4H242ZG3CR · pith_short_16: LX4H242ZG3CRE37M · pith_short_8: LX4H242Z

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/LX4H242ZG3CRE37MDL2V6LW3J5 \
  | 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: 5df87d735936c5126fec1af55f2edb4f4e956d5b665eccb93387517038610518

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c279004abd0d427973eea83a667d2fa554dde410bab77ea7e4c8a08cd58b62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-11T14:04:39Z",
    "title_canon_sha256": "c5f8c6eefbed7a00708c1b56cd46c307d2c98ae13dfb5919e6babf4ef86a355d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02964",
    "kind": "arxiv",
    "version": 5
  }
}