Pith Number

pith:67A2NZYG

pith:1994:67A2NZYGPAUUFJM4JBSHBL3DQM

not attested not anchored not stored refs pending

The versal Deformation of an isolated toric Gorenstein Singularity

Klaus Altmann

arxiv:alg-geom/9403004 v2 · 1994-03-02 · alg-geom · 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{67A2NZYGPAUUFJM4JBSHBL3DQM}

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

5d Higgs Branches: Stratifications from Geometry

Receipt and verification

First computed	2026-07-04T15:07:13.375420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c1a6e706782942a59c486470af63833b721d1fd8ec7e289cb86400f180de1b

Aliases

arxiv: alg-geom/9403004 · arxiv_version: alg-geom/9403004v2 · doi: 10.48550/arxiv.alg-geom/9403004 · pith_short_12: 67A2NZYGPAUU · pith_short_16: 67A2NZYGPAUUFJM4 · pith_short_8: 67A2NZYG

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/67A2NZYGPAUUFJM4JBSHBL3DQM \
  | 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: f7c1a6e706782942a59c486470af63833b721d1fd8ec7e289cb86400f180de1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49e6371a0767c3d24d84e24f963f5f6172096de853f92a6baf1587648153b6e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1994-03-02T16:47:26Z",
    "title_canon_sha256": "c2d6a08c200b392d381913b9a2a3f1cee416bb0f0f6b1b6755bdc2337a3d5c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9403004",
    "kind": "arxiv",
    "version": 2
  }
}