Pith Number

pith:XMVUOM6I

pith:2018:XMVUOM6IDNK3GPXQ5WHJIL2NBV

not attested not anchored not stored refs pending

A version of the Berglund-H\"ubsch-Henningson duality with non-abelian groups

Sabir M. Gusein-Zade, Wolfgang Ebeling

arxiv:1807.04097 v2 · 2018-07-11 · 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{XMVUOM6IDNK3GPXQ5WHJIL2NBV}

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	2026-05-17T23:42:58.914293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2b4733c81b55b33ef0ed8e942f4d0d418b88467449ee17f85f7c3393515e0d

Aliases

arxiv: 1807.04097 · arxiv_version: 1807.04097v2 · doi: 10.48550/arxiv.1807.04097 · pith_short_12: XMVUOM6IDNK3 · pith_short_16: XMVUOM6IDNK3GPXQ · pith_short_8: XMVUOM6I

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/XMVUOM6IDNK3GPXQ5WHJIL2NBV \
  | 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: bb2b4733c81b55b33ef0ed8e942f4d0d418b88467449ee17f85f7c3393515e0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91deba95abc8382fdce7ff687a2f79fe2174262297086e6f0a9aa90413c4bc93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-07-11T11:55:53Z",
    "title_canon_sha256": "62c215b59ec5b5c5f379d4a535e69c0e8285c42b3b2a03c33fe0dd7b6fc15fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04097",
    "kind": "arxiv",
    "version": 2
  }
}