Pith Number

pith:IJMIJFLE

pith:2018:IJMIJFLERT2SN2RGQYQZZGABNF

not attested not anchored not stored refs pending

Gorenstein projective dimensions of modules over minimal Auslander-Gorenstein algebras

Ren\'e Marczinzik, Shen Li, Shunhua Zhang

arxiv:1802.00149 v1 · 2018-02-01 · math.RT · math.RA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJMIJFLERT2SN2RGQYQZZGABNF}

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	2026-05-18T00:24:36.686569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42588495648cf526ea2686219c98016970485454a65b42ded3bb95de48bcd6b2

Aliases

arxiv: 1802.00149 · arxiv_version: 1802.00149v1 · doi: 10.48550/arxiv.1802.00149 · pith_short_12: IJMIJFLERT2S · pith_short_16: IJMIJFLERT2SN2RG · pith_short_8: IJMIJFLE

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/IJMIJFLERT2SN2RGQYQZZGABNF \
  | 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: 42588495648cf526ea2686219c98016970485454a65b42ded3bb95de48bcd6b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77b66966e62ebc85d5c919d569d3ae0fb1c867ecd2f5979fcc6d80ed6b5e8d5c",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-02-01T04:03:33Z",
    "title_canon_sha256": "e03a1e471ae9b82573a14ba1060049a1f7749de360f4a073edceff92336ca032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00149",
    "kind": "arxiv",
    "version": 1
  }
}