Pith Number

pith:ULA3OL2I

pith:2015:ULA3OL2I7A3DQXDZKX7EEKCAHE

not attested not anchored not stored refs pending

On full exceptional collections of line bundles on del Pezzo surfaces

Alexey Elagin, Valery Lunts

arxiv:1505.06477 v3 · 2015-05-24 · 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{ULA3OL2I7A3DQXDZKX7EEKCAHE}

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	2026-05-18T00:33:27.930344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2c1b72f48f836385c7955fe4228403933752ee2d39c4cf616bab6f6befc0904

Aliases

arxiv: 1505.06477 · arxiv_version: 1505.06477v3 · doi: 10.48550/arxiv.1505.06477 · pith_short_12: ULA3OL2I7A3D · pith_short_16: ULA3OL2I7A3DQXDZ · pith_short_8: ULA3OL2I

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/ULA3OL2I7A3DQXDZKX7EEKCAHE \
  | 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: a2c1b72f48f836385c7955fe4228403933752ee2d39c4cf616bab6f6befc0904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bbafe356fe49a6aca0b4f499bf9af76a5b115af3dde9607e73202fe6df60413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-24T20:35:50Z",
    "title_canon_sha256": "d42f9b0c94a711793735dfe9821f293fbbef15cdac231a777429c6c32bcd562a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06477",
    "kind": "arxiv",
    "version": 3
  }
}