Pith Number

pith:IOXK2XXT

pith:2014:IOXK2XXTFXAQZG3QBZ2XBHPBUK

not attested not anchored not stored refs pending

Enumerating exceptional collections of line bundles on some surfaces of general type

Stephen Coughlan

arxiv:1402.1540 v2 · 2014-02-07 · 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{IOXK2XXTFXAQZG3QBZ2XBHPBUK}

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	2026-05-18T01:28:06.053620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43aead5ef32dc10c9b700e75709de1a28ac9f9d87d4d6659c0b5f40a68125c47

Aliases

arxiv: 1402.1540 · arxiv_version: 1402.1540v2 · doi: 10.48550/arxiv.1402.1540 · pith_short_12: IOXK2XXTFXAQ · pith_short_16: IOXK2XXTFXAQZG3Q · pith_short_8: IOXK2XXT

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/IOXK2XXTFXAQZG3QBZ2XBHPBUK \
  | 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: 43aead5ef32dc10c9b700e75709de1a28ac9f9d87d4d6659c0b5f40a68125c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3cae6646fae974b21717964e2d215068511876bc6e2c29c9a6cf10d69b9d01f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-02-07T02:22:48Z",
    "title_canon_sha256": "5f5c433b1f8bef66c5e05c2e2956156f0451bc26506c3e09c305e529002a113e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1540",
    "kind": "arxiv",
    "version": 2
  }
}