Pith Number

pith:GUOWB2UE

pith:2010:GUOWB2UEJDKXN5O3WJNDMABGDD

not attested not anchored not stored refs pending

Diophantine inequalities and quasi-algebraically closed fields

Craig V. Spencer, Trevor D. Wooley

arxiv:1004.3245 v1 · 2010-04-19 · 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{GUOWB2UEJDKXN5O3WJNDMABGDD}

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	2026-05-18T01:37:29.124364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351d60ea8448d576f5dbb25a36002618c93162360e6d797978715e94972f0a7b

Aliases

arxiv: 1004.3245 · arxiv_version: 1004.3245v1 · doi: 10.48550/arxiv.1004.3245 · pith_short_12: GUOWB2UEJDKX · pith_short_16: GUOWB2UEJDKXN5O3 · pith_short_8: GUOWB2UE

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/GUOWB2UEJDKXN5O3WJNDMABGDD \
  | 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: 351d60ea8448d576f5dbb25a36002618c93162360e6d797978715e94972f0a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2af440a179eddf5f8f0ec0f822c865411d268c709de04ce8a3fbf1e05438e066",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-19T16:26:50Z",
    "title_canon_sha256": "e404a3b8797785ac0eb8913c7bc8f746e33ecb41b3947cb3fde0c501c9cb08c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3245",
    "kind": "arxiv",
    "version": 1
  }
}