Pith Number

pith:3UMSGXFW

pith:2019:3UMSGXFWXYDQCN5YGKUYGF7YVM

not attested not anchored not stored refs pending

Curve counting and DT/PT correspondence for Calabi-Yau 4-folds

Martijn Kool, Yalong Cao

arxiv:1903.12171 v3 · 2019-03-28 · 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{3UMSGXFWXYDQCN5YGKUYGF7YVM}

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

Shell formulas for instantons and gauge origami

Receipt and verification

First computed	2026-07-05T01:27:17.595209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd19235cb6be070137b832a98317f8ab2b2818a1405b332a35232ae1fc0e5205

Aliases

arxiv: 1903.12171 · arxiv_version: 1903.12171v3 · doi: 10.48550/arxiv.1903.12171 · pith_short_12: 3UMSGXFWXYDQ · pith_short_16: 3UMSGXFWXYDQCN5Y · pith_short_8: 3UMSGXFW

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/3UMSGXFWXYDQCN5YGKUYGF7YVM \
  | 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: dd19235cb6be070137b832a98317f8ab2b2818a1405b332a35232ae1fc0e5205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf09d04b13875e10db27183e2b5eb8437273bcc5163e22727939b0738204a7ca",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-28T17:58:29Z",
    "title_canon_sha256": "382ce6ad9a3233cd244c56b3a83806e7d89e017b61ed9af043baa29dda5a1527"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12171",
    "kind": "arxiv",
    "version": 3
  }
}