Pith Number

pith:TJG5NIF4

pith:2013:TJG5NIF46P3CHVFHLMVUSYZNV3

not attested not anchored not stored refs pending

Rank two aCM bundles on the del Pezzo threefold with Picard number 3

Daniele Faenzi, Francesco Malaspina, Gianfranco Casnati

arxiv:1306.6008 v4 · 2013-06-25 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJG5NIF46P3CHVFHLMVUSYZNV3}

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	2026-05-18T02:31:48.266262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4dd6a0bcf3f623d4a75b2b49632daed1edaad0c8f254a81a3d3798394e5d79

Aliases

arxiv: 1306.6008 · arxiv_version: 1306.6008v4 · doi: 10.48550/arxiv.1306.6008 · pith_short_12: TJG5NIF46P3C · pith_short_16: TJG5NIF46P3CHVFH · pith_short_8: TJG5NIF4

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/TJG5NIF46P3CHVFHLMVUSYZNV3 \
  | 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: 9a4dd6a0bcf3f623d4a75b2b49632daed1edaad0c8f254a81a3d3798394e5d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1139e3e310710191cf04b98ec4ce6c6a63d32982ee700b603bab230de8e77f3",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-25T15:48:47Z",
    "title_canon_sha256": "1a6c22c6aa127846b9752101283e480c61522f00a8c606bf461b1bcab9aef8ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6008",
    "kind": "arxiv",
    "version": 4
  }
}