Pith Number

pith:AWOGB2FW

pith:2011:AWOGB2FWX5JO2MDT4AVNJLM5LO

not attested not anchored not stored refs pending

Subalgebras and finitistic dimensions of Artin algebras

Aiping Zhang, Shunhua Zhang

arxiv:1107.4143 v1 · 2011-07-21 · 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{AWOGB2FWX5JO2MDT4AVNJLM5LO}

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	2026-05-18T03:35:26.348582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

059c60e8b6bf52ed3073e02ad4ad9d5b907b7dbf207a0e18f0ab0655d26bf0e5

Aliases

arxiv: 1107.4143 · arxiv_version: 1107.4143v1 · doi: 10.48550/arxiv.1107.4143 · pith_short_12: AWOGB2FWX5JO · pith_short_16: AWOGB2FWX5JO2MDT · pith_short_8: AWOGB2FW

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/AWOGB2FWX5JO2MDT4AVNJLM5LO \
  | 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: 059c60e8b6bf52ed3073e02ad4ad9d5b907b7dbf207a0e18f0ab0655d26bf0e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99114bcd221f7cc5d9696787aa2c7a317855268e18b5aa47a9b588ff01d514a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-07-21T00:20:11Z",
    "title_canon_sha256": "99a9decf6337379b14fd6611a08c19d96e27c92ee2d0586cff8bbfa77eaf901b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4143",
    "kind": "arxiv",
    "version": 1
  }
}