Pith Number

pith:A7WHNQ2S

pith:2017:A7WHNQ2SFCP5P2PUALF3ECJAGL

not attested not anchored not stored refs pending

Revisiting the saddle-point method of Perron

Cormac O'Sullivan

arxiv:1702.03777 v2 · 2017-02-13 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7WHNQ2SFCP5P2PUALF3ECJAGL}

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	2026-05-17T23:54:11.886588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ec76c352289fd7e9f402cbb2092032fe2e6a989f77694276f391162e113341

Aliases

arxiv: 1702.03777 · arxiv_version: 1702.03777v2 · doi: 10.48550/arxiv.1702.03777 · pith_short_12: A7WHNQ2SFCP5 · pith_short_16: A7WHNQ2SFCP5P2PU · pith_short_8: A7WHNQ2S

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/A7WHNQ2SFCP5P2PUALF3ECJAGL \
  | 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: 07ec76c352289fd7e9f402cbb2092032fe2e6a989f77694276f391162e113341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49600a0d3713eb1e5109fec1db3f764cea9e2ff2211ee1f6c0b12a643d7d7c66",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-13T13:59:40Z",
    "title_canon_sha256": "56cc4e9ec1aa7f8bb1ce6953f96af297040c2411724413a69c83669e9e54b83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03777",
    "kind": "arxiv",
    "version": 2
  }
}