Pith Number

pith:224CLX4L

pith:2013:224CLX4LJ2UQGYLTUI4E2JD4JL

not attested not anchored not stored refs pending

Stability of strongly Gorenstein flat modules

Zhanping Wang, Zhongkui Liu

arxiv:1301.5573 v2 · 2013-01-23 · math.KT · 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{224CLX4LJ2UQGYLTUI4E2JD4JL}

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	2026-05-18T02:58:57.440816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b825df8b4ea9036173a2384d247c4afcbf826b716f6f01514865f9a230fb74

Aliases

arxiv: 1301.5573 · arxiv_version: 1301.5573v2 · doi: 10.48550/arxiv.1301.5573 · pith_short_12: 224CLX4LJ2UQ · pith_short_16: 224CLX4LJ2UQGYLT · pith_short_8: 224CLX4L

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/224CLX4LJ2UQGYLTUI4E2JD4JL \
  | 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: d6b825df8b4ea9036173a2384d247c4afcbf826b716f6f01514865f9a230fb74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d94b20221f1bd984583881bd582c5eaaeb6504067f862cc74e12135e32bd66b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-01-23T17:12:53Z",
    "title_canon_sha256": "3332c62ff5c0b508739cbde826d774d3e143839cf8c537fb7f15fea667153591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5573",
    "kind": "arxiv",
    "version": 2
  }
}