Pith Number

pith:R4MFPDAW

pith:2019:R4MFPDAWM2ZGTT2YJABXGXYGCJ

not attested not anchored not stored refs pending

Proper classes and Gorensteinness in extriangulated categories

Dongdong Zhang, Jiangsheng Hu, Panyue Zhou

arxiv:1906.10989 v2 · 2019-06-26 · 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{R4MFPDAWM2ZGTT2YJABXGXYGCJ}

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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

Gorenstein homological dimensions for extriangulated categories

Receipt and verification

First computed	2026-07-05T00:37:07.323118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f18578c1666b269cf584803735f061245a4068624ba4373aa33865c4a9a561e

Aliases

arxiv: 1906.10989 · arxiv_version: 1906.10989v2 · doi: 10.48550/arxiv.1906.10989 · pith_short_12: R4MFPDAWM2ZG · pith_short_16: R4MFPDAWM2ZGTT2Y · pith_short_8: R4MFPDAW

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/R4MFPDAWM2ZGTT2YJABXGXYGCJ \
  | 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: 8f18578c1666b269cf584803735f061245a4068624ba4373aa33865c4a9a561e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37a67a2a5b903a8aef0824074179637d87ad4dc83ccf4f63ca70f1ac0341426",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-06-26T11:44:28Z",
    "title_canon_sha256": "a377db27d6c57d560304ba9b0feadbd502efa52f0346fab42f99736dc5c046f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.10989",
    "kind": "arxiv",
    "version": 2
  }
}