Pith Number

pith:BUJZERAO

pith:2026:BUJZERAOGGWV3ZYGIL345TWIXA

not attested not anchored not stored refs pending

$\mathbb Q\setminus\mathbb Z$ is diophantine over $\mathbb Q$ with $7$ unknowns

Zhi-Wei Sun

arxiv:2607.28606 v1 · 2026-07-30 · math.NT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUJZERAOGGWV3ZYGIL345TWIXA}

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	2026-07-31T01:39:04.949841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

0d1392440e31ad5de70642f7cecec8b837c9ef46e87d9cd3ded1f72cd6f41aa7

Aliases

arxiv: 2607.28606 · arxiv_version: 2607.28606v1 · doi: 10.48550/arxiv.2607.28606 · pith_short_12: BUJZERAOGGWV · pith_short_16: BUJZERAOGGWV3ZYG · pith_short_8: BUJZERAO

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/BUJZERAOGGWV3ZYGIL345TWIXA \
  | 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: 0d1392440e31ad5de70642f7cecec8b837c9ef46e87d9cd3ded1f72cd6f41aa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ca6b63733a6374a192719d9f0a405624ae8ffbf974dc1ae269c2ef89dcf380",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-30T17:56:28Z",
    "title_canon_sha256": "c3b56774bd3326adc0db2219c5f657b9cdb38924351949d40bfbfc4fb01a1c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28606",
    "kind": "arxiv",
    "version": 1
  }
}