Pith Number

pith:2ZTBNMIR

pith:2012:2ZTBNMIR6ZXW3CICIVP2HXVY24

not attested not anchored not stored refs pending

Local invariants on quotient singularities and a genus formula for weighted plane curves

Jorge Martin-Morales, Jorge Ortigas-Galindo, Jose Ignacio Cogolludo-Agustin

arxiv:1206.1889 v1 · 2012-06-08 · 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{2ZTBNMIR6ZXW3CICIVP2HXVY24}

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	2026-05-18T03:53:53.890193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66616b111f66f6d8902455fa3deb8d712460ee98ed8df45f85c101e9275f57d

Aliases

arxiv: 1206.1889 · arxiv_version: 1206.1889v1 · doi: 10.48550/arxiv.1206.1889 · pith_short_12: 2ZTBNMIR6ZXW · pith_short_16: 2ZTBNMIR6ZXW3CIC · pith_short_8: 2ZTBNMIR

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/2ZTBNMIR6ZXW3CICIVP2HXVY24 \
  | 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: d66616b111f66f6d8902455fa3deb8d712460ee98ed8df45f85c101e9275f57d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1cf31801b9d402bdc448affa5528cc8f9c447640c0c1cf9653246ef458ec527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-08T23:14:52Z",
    "title_canon_sha256": "f2e8a1e563b99dc0cba32a3b8ce286b330a3a029b7505b649f76913d6b1d9e7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1889",
    "kind": "arxiv",
    "version": 1
  }
}