Pith Number

pith:GKQ7732I

pith:2026:GKQ7732IZUCMXOG6BYSNUTJ75N

not attested not anchored not stored refs pending

Consecutive integers free of certain prime factors

Quanyu Tang, Wouter van Doorn

arxiv:2606.19863 v1 · 2026-06-18 · 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{GKQ7732IZUCMXOG6BYSNUTJ75N}

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	2026-06-19T16:12:37.251771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a1ffef48cd04cbb8de0e24da4d3feb4eb7f2d453ddb989d3ff34ed232a9e2e

Aliases

arxiv: 2606.19863 · arxiv_version: 2606.19863v1 · doi: 10.48550/arxiv.2606.19863 · pith_short_12: GKQ7732IZUCM · pith_short_16: GKQ7732IZUCMXOG6 · pith_short_8: GKQ7732I

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/GKQ7732IZUCMXOG6BYSNUTJ75N \
  | 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: 32a1ffef48cd04cbb8de0e24da4d3feb4eb7f2d453ddb989d3ff34ed232a9e2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e0aef062bdce454fa8048a57f386361a21667535de0966ffbd3d183955b641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-18T07:22:39Z",
    "title_canon_sha256": "88825fa2ad1876618775caa1afaed7e7c40afacfb92d8dea0e568d97509f77ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19863",
    "kind": "arxiv",
    "version": 1
  }
}