Pith Number

pith:AGOZIITV

pith:2017:AGOZIITVSLDWMCRPPAC3PYOZPF

not attested not anchored not stored refs pending

Zero-dimensional Donaldson-Thomas invariants of Calabi-Yau 4-folds

Martijn Kool, Yalong Cao

arxiv:1712.07347 v3 · 2017-12-20 · math.AG · hep-th · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AGOZIITVSLDWMCRPPAC3PYOZPF}

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

Charge functions for odd dimensional partitions

Receipt and verification

First computed	2026-05-17T23:59:17.802563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

019d94227592c7660a2f7805b7e1d97974c52b8211bf2971370a19c589bc4378

Aliases

arxiv: 1712.07347 · arxiv_version: 1712.07347v3 · doi: 10.48550/arxiv.1712.07347 · pith_short_12: AGOZIITVSLDW · pith_short_16: AGOZIITVSLDWMCRP · pith_short_8: AGOZIITV

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/AGOZIITVSLDWMCRPPAC3PYOZPF \
  | 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: 019d94227592c7660a2f7805b7e1d97974c52b8211bf2971370a19c589bc4378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bad5894e5bb576b984402759b7d903e24e23f184d83ef6c9786ad5bf02ba138",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-20T07:41:21Z",
    "title_canon_sha256": "29f76a712a555ed235ce738fb459b7568a6dab97c15fc560524f86bc41833a88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07347",
    "kind": "arxiv",
    "version": 3
  }
}