Pith Number

pith:KZYZOUYT

pith:2011:KZYZOUYTWOC2UC5YTAXR3TK6M5

not attested not anchored not stored refs pending

Counting sheaves on Calabi-Yau and abelian threefolds

Martin G. Gulbrandsen

arxiv:1111.6814 v1 · 2011-11-29 · 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{KZYZOUYTWOC2UC5YTAXR3TK6M5}

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.

Receipt and verification

First computed	2026-05-18T04:07:28.503233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5671975313b385aa0bb8982f1dcd5e674bed28400655abe4f517c26ff6aa96a3

Aliases

arxiv: 1111.6814 · arxiv_version: 1111.6814v1 · doi: 10.48550/arxiv.1111.6814 · pith_short_12: KZYZOUYTWOC2 · pith_short_16: KZYZOUYTWOC2UC5Y · pith_short_8: KZYZOUYT

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/KZYZOUYTWOC2UC5YTAXR3TK6M5 \
  | 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: 5671975313b385aa0bb8982f1dcd5e674bed28400655abe4f517c26ff6aa96a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9691e14c0323bc2d1f179333a663df1e8ee5776930963b26ed23a51528e7b9fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-29T13:58:05Z",
    "title_canon_sha256": "36e1db55b39858faba8a3a71c6038c54229c5e755fbcbd68c28bf1f71b4e7778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6814",
    "kind": "arxiv",
    "version": 1
  }
}