Pith Number

pith:OIE3ICNQ

pith:2023:OIE3ICNQRHT5JUJAZJOSY2AXPQ

not attested not anchored not stored refs pending

Toward optimal exponent pairs

Andrew Yang, Timothy S. Trudgian

arxiv:2306.05599 v3 · 2023-06-09 · 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{OIE3ICNQRHT5JUJAZJOSY2AXPQ}

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.

Cited by

1 paper in Pith

On a Smoothed Walfisz Divisor Problem

Receipt and verification

First computed	2026-07-05T08:44:09.101951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7209b409b089e7d4d120ca5d2c68177c2e8297d8392d52d09fb7deaae9a0d2d7

Aliases

arxiv: 2306.05599 · arxiv_version: 2306.05599v3 · doi: 10.48550/arxiv.2306.05599 · pith_short_12: OIE3ICNQRHT5 · pith_short_16: OIE3ICNQRHT5JUJA · pith_short_8: OIE3ICNQ

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/OIE3ICNQRHT5JUJAZJOSY2AXPQ \
  | 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: 7209b409b089e7d4d120ca5d2c68177c2e8297d8392d52d09fb7deaae9a0d2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "359aa1de94e02252a447cb1aecf92cc391e13543e469e6215f586248cd5607de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-06-09T00:04:05Z",
    "title_canon_sha256": "96243df63c2b7dfff4587cc5312900e94c374ad190142906eb667f617d2532f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.05599",
    "kind": "arxiv",
    "version": 3
  }
}