Pith Number

pith:KZ35YUFC

pith:2012:KZ35YUFCHMWZUWQKPUJRVYWMTN

not attested not anchored not stored refs pending

An explicit formula for the coefficients in Laplace's method

Gerg\H{o} Nemes

arxiv:1207.5222 v2 · 2012-07-22 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZ35YUFCHMWZUWQKPUJRVYWMTN}

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	2026-05-18T03:08:14.545202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5677dc50a23b2d9a5a0a7d131ae2cc9b637069e8242985bfc85d32fd4b8356ca

Aliases

arxiv: 1207.5222 · arxiv_version: 1207.5222v2 · doi: 10.48550/arxiv.1207.5222 · pith_short_12: KZ35YUFCHMWZ · pith_short_16: KZ35YUFCHMWZUWQK · pith_short_8: KZ35YUFC

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/KZ35YUFCHMWZUWQKPUJRVYWMTN \
  | 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: 5677dc50a23b2d9a5a0a7d131ae2cc9b637069e8242985bfc85d32fd4b8356ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05f22e96965101dd5d81a4ed785fc2a00433c4e0c2882c83abb5b8eaa4921094",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-22T12:26:17Z",
    "title_canon_sha256": "9eafd1c78920802d04f53fe2066eaa61c351b9ad0db52d36a8f9790a2b7742f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5222",
    "kind": "arxiv",
    "version": 2
  }
}