Pith Number

pith:A2BWF2TX

pith:2016:A2BWF2TXCUMISQSBAJEW3OW556

not attested not anchored not stored refs pending

Calabi-Yau Varieties: from Quiver Representations to Dessins d'Enfants

Yang-Hui He

arxiv:1611.09398 v1 · 2016-11-28 · math.AG · hep-th · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2BWF2TXCUMISQSBAJEW3OW556}

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	2026-05-18T00:56:18.685212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

068362ea77151889424102496dbaddef98ab65dc59ad162324be260498f6f1ea

Aliases

arxiv: 1611.09398 · arxiv_version: 1611.09398v1 · doi: 10.48550/arxiv.1611.09398 · pith_short_12: A2BWF2TXCUMI · pith_short_16: A2BWF2TXCUMISQSB · pith_short_8: A2BWF2TX

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/A2BWF2TXCUMISQSBAJEW3OW556 \
  | 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: 068362ea77151889424102496dbaddef98ab65dc59ad162324be260498f6f1ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b96cc19c818188aacdd531453b0abcb33f0e5f93beffd45f3cb39be4435f372",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-28T21:48:02Z",
    "title_canon_sha256": "770d311e2d159b36ce0ef10efdb90357b9f64b6b6bc113bdc2ed563316390d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09398",
    "kind": "arxiv",
    "version": 1
  }
}