Pith Number

pith:ZBJONTYP

pith:2012:ZBJONTYPGGQUIYWO7PAHIXQLLL

not attested not anchored not stored refs pending

Brauer-Thrall for totally reflexive modules over local rings of higher dimension

Mohsen Gheibi, Olgur Celikbas, Ryo Takahashi

arxiv:1208.5730 v3 · 2012-08-28 · math.AC · 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{ZBJONTYPGGQUIYWO7PAHIXQLLL}

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	2026-05-18T00:53:35.389499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c852e6cf0f31a14462cefbc0745e0b5aed58ba159af4f664c8f5b1463ba97f50

Aliases

arxiv: 1208.5730 · arxiv_version: 1208.5730v3 · doi: 10.48550/arxiv.1208.5730 · pith_short_12: ZBJONTYPGGQU · pith_short_16: ZBJONTYPGGQUIYWO · pith_short_8: ZBJONTYP

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/ZBJONTYPGGQUIYWO7PAHIXQLLL \
  | 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: c852e6cf0f31a14462cefbc0745e0b5aed58ba159af4f664c8f5b1463ba97f50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bef412aa3ad8f835ee6dd760541b6ef8ce8d2a9bb113cc30fed4922a65f371b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-28T18:04:04Z",
    "title_canon_sha256": "4c52d477cea30fb7e39e3cbee7d45a7efdaf9aa84e20815aa7ca6ebdbc88c752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5730",
    "kind": "arxiv",
    "version": 3
  }
}