Pith Number

pith:UFKXNYW2

pith:2024:UFKXNYW244XJXXDIWDMCDIR46E

not attested not anchored not stored refs pending

Relative torsionfreeness and Frobenius extensions

Jiafeng L\"u, Yanhong Bao, Zhibing Zhao

arxiv:2409.11892 v1 · 2024-09-18 · 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{UFKXNYW244XJXXDIWDMCDIR46E}

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

$\omega$-left approximation dimensions under Stable equivalence

Receipt and verification

First computed	2026-07-05T09:08:39.426035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a15576e2dae72e9bdc68b0d821a23cf12cc51bcb94af361036e231ed60d3fbac

Aliases

arxiv: 2409.11892 · arxiv_version: 2409.11892v1 · doi: 10.48550/arxiv.2409.11892 · pith_short_12: UFKXNYW244XJ · pith_short_16: UFKXNYW244XJXXDI · pith_short_8: UFKXNYW2

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/UFKXNYW244XJXXDIWDMCDIR46E \
  | 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: a15576e2dae72e9bdc68b0d821a23cf12cc51bcb94af361036e231ed60d3fbac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63470b79863a34c2af2e3bab3e904188984814d8dd393152072030f84f70d383",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-09-18T11:37:20Z",
    "title_canon_sha256": "6b4330aa4b870d4265e05e694c0ba6a9bff57566d1ed0a30175574c806bd2576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.11892",
    "kind": "arxiv",
    "version": 1
  }
}