Pith Number

pith:GRKEOLS5

pith:2026:GRKEOLS5NHUI7PFLFUMPS5XZGA

not attested not anchored not stored refs pending

An improvement on the largest prime factors of consecutive integers

Zhiyuan Yang

arxiv:2607.16032 v1 · 2026-07-17 · 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{GRKEOLS5NHUI7PFLFUMPS5XZGA}

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	2026-07-20T02:19:27.349169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3454472e5d69e88fbcab2d18f976f93025688b7f05ca4684341621e9b166e111

Aliases

arxiv: 2607.16032 · arxiv_version: 2607.16032v1 · doi: 10.48550/arxiv.2607.16032 · pith_short_12: GRKEOLS5NHUI · pith_short_16: GRKEOLS5NHUI7PFL · pith_short_8: GRKEOLS5

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/GRKEOLS5NHUI7PFLFUMPS5XZGA \
  | 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: 3454472e5d69e88fbcab2d18f976f93025688b7f05ca4684341621e9b166e111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a516fb3c9aafdb35233c26c7744db85ce891a6a638ab6be9f6584540aa6d0db8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-17T15:07:16Z",
    "title_canon_sha256": "88d992ff4f5cf7603a2dda16be29d90d8629f051a637410925564d8a544408cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16032",
    "kind": "arxiv",
    "version": 1
  }
}