Pith Number

pith:OIPS3PZF

pith:2026:OIPS3PZFZEYERXZNQGNS4YQFRG

not attested not anchored not stored refs pending

A new characterisation of Auslander-Gorenstein algebras

Judith Marquardt, Markus Kleinau, Rene Marczinzik, Vikt\'oria Kl\'asz

arxiv:2608.03856 v1 · 2026-08-04 · 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{OIPS3PZFZEYERXZNQGNS4YQFRG}

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	2026-08-05T01:37:15.800075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

721f2dbf25c93048df2d819b2e6205899d5c06464cb04fd8bc9902aa4947fe47

Aliases

arxiv: 2608.03856 · arxiv_version: 2608.03856v1 · doi: 10.48550/arxiv.2608.03856 · pith_short_12: OIPS3PZFZEYE · pith_short_16: OIPS3PZFZEYERXZN · pith_short_8: OIPS3PZF

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/OIPS3PZFZEYERXZNQGNS4YQFRG \
  | 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: 721f2dbf25c93048df2d819b2e6205899d5c06464cb04fd8bc9902aa4947fe47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4cffbc8912c2dc57bf9446921ee3f925f5229bef8b9eb6cf71a41422eabff48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-08-04T15:59:00Z",
    "title_canon_sha256": "4cb75dff7eb66cb5c2810b15ea1528a1bf68209571aab133e9e4a2047a2d8029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03856",
    "kind": "arxiv",
    "version": 1
  }
}