Pith Number

pith:CRCQDO7S

pith:2015:CRCQDO7SLZGEO77XCQXOCCBSMD

not attested not anchored not stored refs pending

Calabi-Yau and fractional Calabi-Yau categories

Alexander Kuznetsov

arxiv:1509.07657 v2 · 2015-09-25 · 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{CRCQDO7SLZGEO77XCQXOCCBSMD}

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.

Cited by

1 paper in Pith

Moduli spaces on the Kuznetsov component of Fano threefolds of index 2

Receipt and verification

First computed	2026-05-18T00:06:44.123284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

144501bbf25e4c477ff7142ee1083260e0bef24c2ecceafcce5a88d1924b8216

Aliases

arxiv: 1509.07657 · arxiv_version: 1509.07657v2 · doi: 10.48550/arxiv.1509.07657 · pith_short_12: CRCQDO7SLZGE · pith_short_16: CRCQDO7SLZGEO77X · pith_short_8: CRCQDO7S

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/CRCQDO7SLZGEO77XCQXOCCBSMD \
  | 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: 144501bbf25e4c477ff7142ee1083260e0bef24c2ecceafcce5a88d1924b8216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "975e0672345072f52c4d251c655ec8af99d8cf5c1d7ab6c353a3c537b7be750d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-25T09:55:00Z",
    "title_canon_sha256": "cd5692b461d0ba129a20c4315dca68baaba15523b60968cbb9354291d1a453ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07657",
    "kind": "arxiv",
    "version": 2
  }
}