Pith Number

pith:3PZT4RFZ

pith:2017:3PZT4RFZYPNSBAHQAGZNZ2AL5W

not attested not anchored not stored refs pending

Del Pezzo surfaces with a single 1/k(1,1) singularity

Daniel Cavey, Thomas Prince

arxiv:1707.09213 v1 · 2017-07-28 · 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{3PZT4RFZYPNSBAHQAGZNZ2AL5W}

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	2026-05-18T00:39:16.751784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf33e44b9c3db2080f001b2dce80bedac8bda0da596da8a60244ac63a41ee9a

Aliases

arxiv: 1707.09213 · arxiv_version: 1707.09213v1 · doi: 10.48550/arxiv.1707.09213 · pith_short_12: 3PZT4RFZYPNS · pith_short_16: 3PZT4RFZYPNSBAHQ · pith_short_8: 3PZT4RFZ

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/3PZT4RFZYPNSBAHQAGZNZ2AL5W \
  | 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: dbf33e44b9c3db2080f001b2dce80bedac8bda0da596da8a60244ac63a41ee9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52989d30a4983da6437c820a176cfba39fab08061cb1140889b47ba872d3659d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-28T12:59:56Z",
    "title_canon_sha256": "2ad5f1d57e98ed1d4eb033e41cc611a8e931704777efd220f986d94120eaec42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09213",
    "kind": "arxiv",
    "version": 1
  }
}