Pith Number

pith:QALW4WTA

pith:2019:QALW4WTAKS33UDDL2DPLJ6O5ZR

not attested not anchored not stored refs pending

Functional limit theorems for the Polya and q-Polya urns

Dimitra Kouloumpou, Dimitris Cheliotis

arxiv:1905.13336 v1 · 2019-05-30 · 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{QALW4WTAKS33UDDL2DPLJ6O5ZR}

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	2026-05-17T23:44:35.257588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80176e5a6054b7ba0c6bd0deb4f9ddcc53652018fb80729dc62d2d550dffb269

Aliases

arxiv: 1905.13336 · arxiv_version: 1905.13336v1 · doi: 10.48550/arxiv.1905.13336 · pith_short_12: QALW4WTAKS33 · pith_short_16: QALW4WTAKS33UDDL · pith_short_8: QALW4WTA

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/QALW4WTAKS33UDDL2DPLJ6O5ZR \
  | 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: 80176e5a6054b7ba0c6bd0deb4f9ddcc53652018fb80729dc62d2d550dffb269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7503fde0ba8ea3187722dfa294e3590c421c56646d2fb72c56cded3b2bd9796",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-30T22:11:47Z",
    "title_canon_sha256": "0aa0742783dcd6544adaeb3fdcf0a29f509b198d4cf4beafcb905896afb39e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13336",
    "kind": "arxiv",
    "version": 1
  }
}