Pith Number

pith:CB7U2R2X

pith:2019:CB7U2R2XRJT2UWHZYEZNAFK7VT

not attested not anchored not stored refs pending

$K$-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds

Martijn Kool, Sergej Monavari, Yalong Cao

arxiv:1906.07856 v4 · 2019-06-19 · math.AG · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CB7U2R2XRJT2UWHZYEZNAFK7VT}

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

Gopakumar-Vafa invariants of fiber classes on Calabi-Yau 4-folds fibered over curves

Receipt and verification

First computed	2026-07-05T05:09:46.316914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

107f4d47578a67aa58f9c132d0155faccaaee4f28aac72f5cc8e74961e77f7ed

Aliases

arxiv: 1906.07856 · arxiv_version: 1906.07856v4 · doi: 10.48550/arxiv.1906.07856 · pith_short_12: CB7U2R2XRJT2 · pith_short_16: CB7U2R2XRJT2UWHZ · pith_short_8: CB7U2R2X

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/CB7U2R2XRJT2UWHZYEZNAFK7VT \
  | 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: 107f4d47578a67aa58f9c132d0155faccaaee4f28aac72f5cc8e74961e77f7ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b90e8090fc11712e74f109da0ba42d6f31ff412e2243854bac5e1dfe7e744c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-19T00:15:36Z",
    "title_canon_sha256": "a3c36a14c25ed5845f8a54d6fe8d0ec61933733f231c03541996e05bdc0e66b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07856",
    "kind": "arxiv",
    "version": 4
  }
}