Pith Number

pith:3VCQL5D3

pith:2025:3VCQL5D3HCE6FS65LT2VKLKMUS

not attested not anchored not stored refs pending

Brieskorn-Pham singularities via ACM bundles on Geigle-Lenzing projective spaces

Jianmin Chen, Shiquan Ruan, Weikang Weng

arxiv:2501.15375 v1 · 2025-01-26 · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VCQL5D3HCE6FS65LT2VKLKMUS}

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	2026-07-05T10:05:28.226114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4505f47b3889e2cbdd5cf5552d4ca4a11803f254f0465fba946ac71db99891

Aliases

arxiv: 2501.15375 · arxiv_version: 2501.15375v1 · doi: 10.48550/arxiv.2501.15375 · pith_short_12: 3VCQL5D3HCE6 · pith_short_16: 3VCQL5D3HCE6FS65 · pith_short_8: 3VCQL5D3

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/3VCQL5D3HCE6FS65LT2VKLKMUS \
  | 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: dd4505f47b3889e2cbdd5cf5552d4ca4a11803f254f0465fba946ac71db99891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac9970eecc19d609837777b45d7a0c8abb0afd606035773cb43f6830a4eb683",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-26T03:12:25Z",
    "title_canon_sha256": "e337fd02c1d662f628f56b3ef9b642ef6f05d869eff3efecbf8e8d1d580e8103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15375",
    "kind": "arxiv",
    "version": 1
  }
}