Pith Number

pith:G3ENJ3IS

pith:2011:G3ENJ3ISRHTINMJ4BBZYBSKCPX

not attested not anchored not stored refs pending

Cartier and Weil Divisors on Varieties with Quotient Singularities

Enrique Artal Bartolo, Jorge Mart\'in-Morales, Jorge Ortigas-Galindo

arxiv:1104.5628 v2 · 2011-04-29 · 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{G3ENJ3ISRHTINMJ4BBZYBSKCPX}

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	2026-05-18T00:16:57.155363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36c8d4ed1289e686b13c087380c9427dd77145ccfa6f69eaaafb2b0335dddda6

Aliases

arxiv: 1104.5628 · arxiv_version: 1104.5628v2 · doi: 10.48550/arxiv.1104.5628 · pith_short_12: G3ENJ3ISRHTI · pith_short_16: G3ENJ3ISRHTINMJ4 · pith_short_8: G3ENJ3IS

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/G3ENJ3ISRHTINMJ4BBZYBSKCPX \
  | 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: 36c8d4ed1289e686b13c087380c9427dd77145ccfa6f69eaaafb2b0335dddda6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd341c380481a71fb4f6637c2e0d3a01a5e54a79600ad067f513064c80183e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-29T13:49:12Z",
    "title_canon_sha256": "71e11e5a6182ae38543693a8bbac1438f64e591533f99967fbdfa73380f5a8c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5628",
    "kind": "arxiv",
    "version": 2
  }
}