Pith Number

pith:FXQE5PCZ

pith:2012:FXQE5PCZULVG4DZLK5I2C2I5UP

not attested not anchored not stored refs pending

Exceptional collections of line bundles on the Beauville surface

Evgeny Shinder, Sergey Galkin

arxiv:1210.3339 v2 · 2012-10-11 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXQE5PCZULVG4DZLK5I2C2I5UP}

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	2026-05-18T03:19:33.056064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2de04ebc59a2ea6e0f2b5751a1691da3c225ec451ac15e5cf6fbc151f64796a9

Aliases

arxiv: 1210.3339 · arxiv_version: 1210.3339v2 · doi: 10.48550/arxiv.1210.3339 · pith_short_12: FXQE5PCZULVG · pith_short_16: FXQE5PCZULVG4DZL · pith_short_8: FXQE5PCZ

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/FXQE5PCZULVG4DZLK5I2C2I5UP \
  | 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: 2de04ebc59a2ea6e0f2b5751a1691da3c225ec451ac15e5cf6fbc151f64796a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a582ae9d50ce5c03683c477ad9ae7bce360ef3af577c0c5d839e8b3be6c0cc",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-11T19:34:48Z",
    "title_canon_sha256": "683bf22fee731f9398b7cfa9564614b676528f0256d64422bb5b0ed12dc81ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3339",
    "kind": "arxiv",
    "version": 2
  }
}