Pith Number

pith:WQP55TUX

pith:2011:WQP55TUX4RZ7SSAAXZUP34HA7N

not attested not anchored not stored refs pending

Smooth toric varieties are Oka

Finnur Larusson

arxiv:1107.3604 v3 · 2011-07-19 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQP55TUX4RZ7SSAAXZUP34HA7N}

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	2026-05-18T03:10:27.017798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41fdece97e473f94800be68fdf0e0fb669a61b4a3013bba78ee877bfbb30e92

Aliases

arxiv: 1107.3604 · arxiv_version: 1107.3604v3 · doi: 10.48550/arxiv.1107.3604 · pith_short_12: WQP55TUX4RZ7 · pith_short_16: WQP55TUX4RZ7SSAA · pith_short_8: WQP55TUX

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/WQP55TUX4RZ7SSAAXZUP34HA7N \
  | 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: b41fdece97e473f94800be68fdf0e0fb669a61b4a3013bba78ee877bfbb30e92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e29cb1ca770880a4e5e6baeeafd7ebb6b3e2599866204b348ec825d8d6ed005",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-19T01:26:59Z",
    "title_canon_sha256": "36c06db1414b0ee316928147ea90d929227c717df4d28312209700691ea45ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3604",
    "kind": "arxiv",
    "version": 3
  }
}