Pith Number

pith:KXJ5HDD3

pith:2016:KXJ5HDD3KPTPRJSHZZYPSF6WU5

not attested not anchored not stored refs pending

A robust quantitative local central limit theorem with applications to enumerative combinatorics and random combinatorial structures

Georg Menz, Stephen DeSalvo

arxiv:1610.07664 v1 · 2016-10-24 · math.CO · 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{KXJ5HDD3KPTPRJSHZZYPSF6WU5}

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	2026-05-18T01:01:21.554480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55d3d38c7b53e6f8a647ce70f917d6a751a76d9b3a6c10a16713a658950eb018

Aliases

arxiv: 1610.07664 · arxiv_version: 1610.07664v1 · doi: 10.48550/arxiv.1610.07664 · pith_short_12: KXJ5HDD3KPTP · pith_short_16: KXJ5HDD3KPTPRJSH · pith_short_8: KXJ5HDD3

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/KXJ5HDD3KPTPRJSHZZYPSF6WU5 \
  | 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: 55d3d38c7b53e6f8a647ce70f917d6a751a76d9b3a6c10a16713a658950eb018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b31705a1653a9a599c810ca6c8a8fb5ea9351a0979c063cd480c7dac0355ea6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-24T22:09:13Z",
    "title_canon_sha256": "a717de8f664b64ca3f930fe6011083c8e68db44db97af0ed5fc4c3e0e42f3903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07664",
    "kind": "arxiv",
    "version": 1
  }
}