Pith Number

pith:ZWQ24UBO

pith:2009:ZWQ24UBOGYURPDSVJDXSMN2XRO

not attested not anchored not stored refs pending

A non-commutative homogeneous coordinate ring for the degree six del Pezzo surface

S. Paul Smith

arxiv:0906.2481 v3 · 2009-06-13 · math.RA · 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{ZWQ24UBOGYURPDSVJDXSMN2XRO}

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	2026-05-18T04:04:52.317769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda1ae502e3629178e5548ef2637578b8939caec6ac0c80381890c215706a60a

Aliases

arxiv: 0906.2481 · arxiv_version: 0906.2481v3 · doi: 10.48550/arxiv.0906.2481 · pith_short_12: ZWQ24UBOGYUR · pith_short_16: ZWQ24UBOGYURPDSV · pith_short_8: ZWQ24UBO

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/ZWQ24UBOGYURPDSVJDXSMN2XRO \
  | 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: cda1ae502e3629178e5548ef2637578b8939caec6ac0c80381890c215706a60a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ee0b3899a32714d47b03e27300cff533c7f9fd1e856dcdd03af53936244298",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-06-13T14:35:31Z",
    "title_canon_sha256": "5e070f7d5edf05cabef111bec50e2ac0f52434f849640b04d692cac6b77353cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2481",
    "kind": "arxiv",
    "version": 3
  }
}