Pith Number

pith:OTH2FJQU

pith:2010:OTH2FJQUTDEBMH2OBD3VNQDRK2

not attested not anchored not stored refs pending

Vojta's Conjecture implies the Batyrev-Manin Conjecture for $K3$ surfaces

David McKinnon

arxiv:1011.5825 v1 · 2010-11-26 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTH2FJQUTDEBMH2OBD3VNQDRK2}

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	2026-05-18T02:58:01.433741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74cfa2a61498c8161f4e08f756c07156b454e92f6f806773ea5df46bd0e920b3

Aliases

arxiv: 1011.5825 · arxiv_version: 1011.5825v1 · doi: 10.48550/arxiv.1011.5825 · pith_short_12: OTH2FJQUTDEB · pith_short_16: OTH2FJQUTDEBMH2O · pith_short_8: OTH2FJQU

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/OTH2FJQUTDEBMH2OBD3VNQDRK2 \
  | 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: 74cfa2a61498c8161f4e08f756c07156b454e92f6f806773ea5df46bd0e920b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e2eaa175667769ae4a0792e6f4b8f4aa1e46d49ded3935ecd77ea192550326",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-26T15:40:52Z",
    "title_canon_sha256": "bbabe6f40b5a3f1d5493672b6e148be35deb09578f993e7256befe28c3981d32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5825",
    "kind": "arxiv",
    "version": 1
  }
}