Pith Number

pith:MWJGHLDI

pith:2011:MWJGHLDIQD3QZ6A4YDH6TJAFWM

not attested not anchored not stored refs pending

Del Pezzo surfaces with many symmetries

Andrew Wilson, Ivan Cheltsov

arxiv:1101.1988 v1 · 2011-01-10 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWJGHLDIQD3QZ6A4YDH6TJAFWM}

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	2026-05-18T04:31:50.907088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

659263ac6880f70cf81cc0cfe9a405b32144dd767ab9f39cafa725f24efc3de9

Aliases

arxiv: 1101.1988 · arxiv_version: 1101.1988v1 · doi: 10.48550/arxiv.1101.1988 · pith_short_12: MWJGHLDIQD3Q · pith_short_16: MWJGHLDIQD3QZ6A4 · pith_short_8: MWJGHLDI

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/MWJGHLDIQD3QZ6A4YDH6TJAFWM \
  | 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: 659263ac6880f70cf81cc0cfe9a405b32144dd767ab9f39cafa725f24efc3de9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b5314eca4275189e16dbba662c9af94a3a6bc82a26080101857757953ee168",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-10T23:06:11Z",
    "title_canon_sha256": "2bf6dcf66b5a2617de7f97852a42387b6d0f2464e9bc38eef7930121cadb1623"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1988",
    "kind": "arxiv",
    "version": 1
  }
}