Pith Number

pith:Z6UUI3D5

pith:2010:Z6UUI3D52IASAM7UOZLGBQ4Y6T

not attested not anchored not stored refs pending

The Fano surface of the Fermat cubic threefold, the del Pezzo surface of degree 5 and a ball quotient

Xavier Roulleau

arxiv:1001.5111 v2 · 2010-01-28 · 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{Z6UUI3D52IASAM7UOZLGBQ4Y6T}

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	2026-05-18T04:39:00.164653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa9446c7dd2012033f4765660c398f4cf1dc7ad411d117dc69c2364136d5614

Aliases

arxiv: 1001.5111 · arxiv_version: 1001.5111v2 · doi: 10.48550/arxiv.1001.5111 · pith_short_12: Z6UUI3D52IAS · pith_short_16: Z6UUI3D52IASAM7U · pith_short_8: Z6UUI3D5

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/Z6UUI3D52IASAM7UOZLGBQ4Y6T \
  | 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: cfa9446c7dd2012033f4765660c398f4cf1dc7ad411d117dc69c2364136d5614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e4f8a1b48da349857789f84edf2acd737740571d2e36e20071217a09983c43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-28T06:41:40Z",
    "title_canon_sha256": "126bcdae23c29aa4df3788dd29797419abda02fc0f0ccd204bb406d01c023a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5111",
    "kind": "arxiv",
    "version": 2
  }
}