Pith Number

pith:2ILPRDAP

pith:2002:2ILPRDAPZBR3SZ6KELGFFN2NTK

not attested not anchored not stored refs pending

Universal rings arising in geometry and group theory

Weiqiang Wang

arxiv:math/0211093 v1 · 2002-11-05 · math.QA · 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{2ILPRDAPZBR3SZ6KELGFFN2NTK}

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	2026-07-04T14:36:42.399285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d216f88c0fc863b967ca22cc52b74d9aa7b6ca3085c0fc80b2c9b8267e6aa795

Aliases

arxiv: math/0211093 · arxiv_version: math/0211093v1 · doi: 10.48550/arxiv.math/0211093 · pith_short_12: 2ILPRDAPZBR3 · pith_short_16: 2ILPRDAPZBR3SZ6K · pith_short_8: 2ILPRDAP

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/2ILPRDAPZBR3SZ6KELGFFN2NTK \
  | 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: d216f88c0fc863b967ca22cc52b74d9aa7b6ca3085c0fc80b2c9b8267e6aa795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbef2a20401b469f63e7b3833f5c1e368e31ed160a1223469214cc58ed51bb88",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-11-05T18:55:24Z",
    "title_canon_sha256": "d571f26d264fb5f4a65caf088e3d93f5d0645e9d030c5c8f33789f16de3b5a8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211093",
    "kind": "arxiv",
    "version": 1
  }
}