Pith Number

pith:GYWQNLJH

pith:2022:GYWQNLJHXRPOV2GRV5IAPSZOTH

not attested not anchored not stored refs pending

Gorenstein homological dimension and some invariants of groups

Gang Yang, Wei Ren

arxiv:2211.02221 v2 · 2022-11-04 · math.AC · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYWQNLJHXRPOV2GRV5IAPSZOTH}

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.

Cited by

1 paper in Pith

Total acyclicity of complexes over group algebras

Receipt and verification

First computed	2026-07-05T06:02:30.547134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

362d06ad27bc5eeae8d1af5007cb2e99eacd919363bd539bec27e14aa16ee811

Aliases

arxiv: 2211.02221 · arxiv_version: 2211.02221v2 · doi: 10.48550/arxiv.2211.02221 · pith_short_12: GYWQNLJHXRPO · pith_short_16: GYWQNLJHXRPOV2GR · pith_short_8: GYWQNLJH

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/GYWQNLJHXRPOV2GRV5IAPSZOTH \
  | 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: 362d06ad27bc5eeae8d1af5007cb2e99eacd919363bd539bec27e14aa16ee811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf06087e7ec5f280b3dee42c638c263c679d3636c7e2cd8f268c8794d8be8be",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-11-04T02:08:29Z",
    "title_canon_sha256": "e0d7316b388f4605fd6ff91999d68346c43f4db9b5be01b8c5539890846b40f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.02221",
    "kind": "arxiv",
    "version": 2
  }
}