Pith Number

pith:YPODB2WX

pith:2021:YPODB2WXZD33GPW36AECIRWFUI

not attested not anchored not stored refs pending

$\mathbb Q\setminus\mathbb Z$ is diophantine over $\mathbb Q$ with 32 unknowns

Geng-Rui Zhang, Zhi-Wei Sun

arxiv:2104.02520 v4 · 2021-04-06 · 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{YPODB2WXZD33GPW36AECIRWFUI}

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	2026-07-05T06:09:03.267581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3dc30ead7c8f7b33edbf0082446c5a2259d54e3de5bc1cc10f1b845d1de318d

Aliases

arxiv: 2104.02520 · arxiv_version: 2104.02520v4 · doi: 10.48550/arxiv.2104.02520 · pith_short_12: YPODB2WXZD33 · pith_short_16: YPODB2WXZD33GPW3 · pith_short_8: YPODB2WX

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/YPODB2WXZD33GPW36AECIRWFUI \
  | 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: c3dc30ead7c8f7b33edbf0082446c5a2259d54e3de5bc1cc10f1b845d1de318d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4a43795924e1a64adf03dc0f7d4ee359c6655e85dc08b3ddf7b39776f1e54e0",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-04-06T14:53:23Z",
    "title_canon_sha256": "f009eb5d58b66edfdb6956d1e28956d299b3c258d216e55de920eb93e029c310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.02520",
    "kind": "arxiv",
    "version": 4
  }
}