Pith Number

pith:S4ZLECFR

pith:2011:S4ZLECFRIWWM4O4ZDKDAZYYHCK

not attested not anchored not stored refs pending

The geometry of Ulrich bundles on del Pezzo surfaces

Emre Coskun, Rajesh S. Kulkarni, Yusuf Mustopa

arxiv:1105.2575 v3 · 2011-05-12 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4ZLECFRIWWM4O4ZDKDAZYYHCK}

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	2026-05-18T03:37:27.751658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9732b208b145acce3b991a860ce307129f1312f351b51b671e431483372fde7a

Aliases

arxiv: 1105.2575 · arxiv_version: 1105.2575v3 · doi: 10.48550/arxiv.1105.2575 · pith_short_12: S4ZLECFRIWWM · pith_short_16: S4ZLECFRIWWM4O4Z · pith_short_8: S4ZLECFR

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/S4ZLECFRIWWM4O4ZDKDAZYYHCK \
  | 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: 9732b208b145acce3b991a860ce307129f1312f351b51b671e431483372fde7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0f5f277f58b58aebb9877b99a2106dcfc0eb6756d2a9a1a99dca2781e0582ad",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-12T20:39:09Z",
    "title_canon_sha256": "27751fa149e5f4741b55bd97b8873391813d77eb639f7b1cf8b8130866583fed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2575",
    "kind": "arxiv",
    "version": 3
  }
}