Pith Number

pith:MMA57OL2

pith:2020:MMA57OL2CHOM3KPEEB2H5HLCWX

not attested not anchored not stored refs pending

Global shifted potentials for moduli stacks of sheaves on Calabi-Yau four-folds

Artan Sheshmani, Dennis Borisov, Ludmil Katzarkov, Shing-Tung Yau

arxiv:2007.13194 v2 · 2020-07-26 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMA57OL2CHOM3KPEEB2H5HLCWX}

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

Shifted symplectic structures on derived Quot-stacks I: Differential graded manifolds

Receipt and verification

First computed	2026-07-05T03:46:55.913546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6301dfb97a11dccda9e420747e9d62b5fd61f72448a2254431b86926c01e89d2

Aliases

arxiv: 2007.13194 · arxiv_version: 2007.13194v2 · doi: 10.48550/arxiv.2007.13194 · pith_short_12: MMA57OL2CHOM · pith_short_16: MMA57OL2CHOM3KPE · pith_short_8: MMA57OL2

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/MMA57OL2CHOM3KPEEB2H5HLCWX \
  | 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: 6301dfb97a11dccda9e420747e9d62b5fd61f72448a2254431b86926c01e89d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60563cfe33ddbe8d1d7033435d94ab702a3d8141a8d92ad07423265d4a63d58a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-07-26T18:23:25Z",
    "title_canon_sha256": "1d5b585b0932cd0b60db88f9930889b155fb59aba41a7ca7ff6970c04b8e2f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.13194",
    "kind": "arxiv",
    "version": 2
  }
}