Pith Number

pith:VRZSRZNH

pith:2013:VRZSRZNHPTWQI35ZFX6RPZ65VX

not attested not anchored not stored refs pending

Degree of Unirationality for del Pezzo Surfaces over Finite Fields

Amanda Knecht

arxiv:1307.3215 v1 · 2013-07-11 · 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{VRZSRZNHPTWQI35ZFX6RPZ65VX}

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	2026-05-18T03:18:40.838078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7328e5a77ced046fb92dfd17e7ddadf2e2a4963fa7e8ec8ae573f0277adc75

Aliases

arxiv: 1307.3215 · arxiv_version: 1307.3215v1 · doi: 10.48550/arxiv.1307.3215 · pith_short_12: VRZSRZNHPTWQ · pith_short_16: VRZSRZNHPTWQI35Z · pith_short_8: VRZSRZNH

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/VRZSRZNHPTWQI35ZFX6RPZ65VX \
  | 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: ac7328e5a77ced046fb92dfd17e7ddadf2e2a4963fa7e8ec8ae573f0277adc75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e3979e9790de6da1c52fd26b86fd049b8a57a9d4197a25af4688af40b0c8f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-11T19:01:55Z",
    "title_canon_sha256": "d8607f37ee0c618619a43c829df47a11a00434eb6a79f2d2005ed7e7ce322763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3215",
    "kind": "arxiv",
    "version": 1
  }
}