Pith Number

pith:ACZDCVB6

pith:2013:ACZDCVB6PFGWCLZEMILT4JTJIJ

not attested not anchored not stored refs pending

Developments in the Khintchine-Meinardus probabilistic method for asymptotic enumeration

Boris L. Granovsky, Dudley Stark

arxiv:1311.2254 v2 · 2013-11-10 · 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{ACZDCVB6PFGWCLZEMILT4JTJIJ}

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	2026-05-18T01:27:08.305769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b231543e794d612f2462173e26694271d3902a7bb5be2ef62b100625e859f9

Aliases

arxiv: 1311.2254 · arxiv_version: 1311.2254v2 · doi: 10.48550/arxiv.1311.2254 · pith_short_12: ACZDCVB6PFGW · pith_short_16: ACZDCVB6PFGWCLZE · pith_short_8: ACZDCVB6

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/ACZDCVB6PFGWCLZEMILT4JTJIJ \
  | 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: 00b231543e794d612f2462173e26694271d3902a7bb5be2ef62b100625e859f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f84871d37e5316e67e7c499a9d5140a17c268f160eb99ce7573213a13516a64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-10T09:45:42Z",
    "title_canon_sha256": "fcc49951d2254fbaf6965bf0aaee78db7f1d8ce84a3316f69e8fc830283c9ab8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2254",
    "kind": "arxiv",
    "version": 2
  }
}