Pith Number

pith:2CVZFAJE

pith:2013:2CVZFAJEXI4YDVOFSBSHFVKB4C

not attested not anchored not stored refs pending

The Auslander-Gorenstein property for Z-algebras

I. G. Gordon, J. T. Stafford

arxiv:1302.6640 v1 · 2013-02-27 · math.RT · 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{2CVZFAJEXI4YDVOFSBSHFVKB4C}

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	2026-05-18T03:02:35.260255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0ab928124ba3981d5c5906472d541e0863f1b214284570e6ba978ab89b7e6b0

Aliases

arxiv: 1302.6640 · arxiv_version: 1302.6640v1 · doi: 10.48550/arxiv.1302.6640 · pith_short_12: 2CVZFAJEXI4Y · pith_short_16: 2CVZFAJEXI4YDVOF · pith_short_8: 2CVZFAJE

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/2CVZFAJEXI4YDVOFSBSHFVKB4C \
  | 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: d0ab928124ba3981d5c5906472d541e0863f1b214284570e6ba978ab89b7e6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f64fef99471eec5d07af6ade8aafadf6f3c609e2b58749c3244e357e3d7fa59",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-02-27T01:25:08Z",
    "title_canon_sha256": "b0ae441a9b5d7f5ed90059f81862787115335c2b4a29d97dc49b094fbe852c51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6640",
    "kind": "arxiv",
    "version": 1
  }
}