Pith Number

pith:QVDVGTTU

pith:2002:QVDVGTTUGRVRZJNRLCOPKILZWR

not attested not anchored not stored refs pending

Counting Rational Points on Ruled Varieties

David McKinnon

arxiv:math/0207088 v1 · 2002-07-10 · math.AG · 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{QVDVGTTUGRVRZJNRLCOPKILZWR}

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	2026-07-04T14:36:18.961366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8547534e74346b1ca5b1589cf52179b454396f2043ed53573d06016116e6124b

Aliases

arxiv: math/0207088 · arxiv_version: math/0207088v1 · doi: 10.48550/arxiv.math/0207088 · pith_short_12: QVDVGTTUGRVR · pith_short_16: QVDVGTTUGRVRZJNR · pith_short_8: QVDVGTTU

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/QVDVGTTUGRVRZJNRLCOPKILZWR \
  | 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: 8547534e74346b1ca5b1589cf52179b454396f2043ed53573d06016116e6124b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94fa4f7aed602913a7126e824987b44f3284b0e231426364e3f44c39151d3bd6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-07-10T20:09:46Z",
    "title_canon_sha256": "e7d539f56365aac74205c7c155f889118114bc7ebffd4fd2f43513bb56bf5770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0207088",
    "kind": "arxiv",
    "version": 1
  }
}