Pith Number

pith:HZ2TU2IX

pith:2016:HZ2TU2IXTROPDVZ4W6Y2QUTKUY

not attested not anchored not stored refs pending

Fractional Calabi-Yau Categories from Landau-Ginzburg Models

David Favero, Tyler L. Kelly

arxiv:1610.04918 v3 · 2016-10-16 · 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{HZ2TU2IXTROPDVZ4W6Y2QUTKUY}

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	2026-05-18T00:41:53.415505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e753a69179c5cf1d73cb7b1a8526aa60065c676eabbab0cf2d4660af3d21734

Aliases

arxiv: 1610.04918 · arxiv_version: 1610.04918v3 · doi: 10.48550/arxiv.1610.04918 · pith_short_12: HZ2TU2IXTROP · pith_short_16: HZ2TU2IXTROPDVZ4 · pith_short_8: HZ2TU2IX

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/HZ2TU2IXTROPDVZ4W6Y2QUTKUY \
  | 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: 3e753a69179c5cf1d73cb7b1a8526aa60065c676eabbab0cf2d4660af3d21734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3b4dbab1cb2742de0f26ebbb5a8f369160fd24b1586ca1aede63d1ec2fd410d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-16T21:24:30Z",
    "title_canon_sha256": "357043bb8dc12d66f02ca1635e0f0a8b76407871cde4b8285b38f77cc3a309da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04918",
    "kind": "arxiv",
    "version": 3
  }
}