Pith Number

pith:LJQUAQ4P

pith:2012:LJQUAQ4PDBZTGHSOONYYYQV35I

not attested not anchored not stored refs pending

Limit theorems for monotonic convolution and the Chernoff product formula

John D. Williams, Michael Anshelevich

arxiv:1209.4260 v4 · 2012-09-19 · math.OA · 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{LJQUAQ4PDBZTGHSOONYYYQV35I}

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	2026-05-18T03:33:13.865848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6140438f1873331e4e73718c42bbea0691979198775c5ae9012a6749ceee7b

Aliases

arxiv: 1209.4260 · arxiv_version: 1209.4260v4 · doi: 10.48550/arxiv.1209.4260 · pith_short_12: LJQUAQ4PDBZT · pith_short_16: LJQUAQ4PDBZTGHSO · pith_short_8: LJQUAQ4P

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/LJQUAQ4PDBZTGHSOONYYYQV35I \
  | 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: 5a6140438f1873331e4e73718c42bbea0691979198775c5ae9012a6749ceee7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff8687d9412ffc8cfa2748733d780b077d659506af33e7c591c06979f59962b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-19T14:41:01Z",
    "title_canon_sha256": "562f558f41dafd1e36fb58ec788ff693ddc66494f79bc4fb65af5539101a74d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4260",
    "kind": "arxiv",
    "version": 4
  }
}