Pith Number

pith:GKHRPU7J

pith:2011:GKHRPU7JLKWEGVLTO3F63324AH

not attested not anchored not stored refs pending

The structure of finite local principal ideal rings

Dancheng Lu, Houyi Yu, Tongsuo Wu

arxiv:1105.5179 v3 · 2011-05-26 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKHRPU7JLKWEGVLTO3F63324AH}

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	2026-05-18T00:17:55.820283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

328f17d3e95aac43557376cbedef5c01e7f9b31bdc2e106ba1fd1f10ae248634

Aliases

arxiv: 1105.5179 · arxiv_version: 1105.5179v3 · doi: 10.48550/arxiv.1105.5179 · pith_short_12: GKHRPU7JLKWE · pith_short_16: GKHRPU7JLKWEGVLT · pith_short_8: GKHRPU7J

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/GKHRPU7JLKWEGVLTO3F63324AH \
  | 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: 328f17d3e95aac43557376cbedef5c01e7f9b31bdc2e106ba1fd1f10ae248634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0b1cdd4e45c5ff786a8fa56c12af22d6eff3a2ca5ac92766ddb566e7273df8a",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-05-26T00:44:13Z",
    "title_canon_sha256": "6988a1aabcddcf1583c1e11c9149dd89d1cf359c931833dd31509b0539e00f42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5179",
    "kind": "arxiv",
    "version": 3
  }
}