Pith. sign in
Pith Number

pith:J6HRD6CX

pith:2020:J6HRD6CXZGXTARNE3VNNH37JUG
not attested not anchored not stored refs pending

Stable rank of $\mathrm{C}(X)\rtimes\Gamma$

Chun Guang Li, Zhuang Niu

arxiv:2008.03361 v2 · 2020-08-07 · math.OA · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{J6HRD6CXZGXTARNE3VNNH37JUG}

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

2 papers in Pith

Receipt and verification
First computed 2026-07-05T06:31:01.682685Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4f8f11f857c9af3045a4dd5ad3efe9a1b88af3641dc662d1dd1dc9260217a927

Aliases

arxiv: 2008.03361 · arxiv_version: 2008.03361v2 · doi: 10.48550/arxiv.2008.03361 · pith_short_12: J6HRD6CXZGXT · pith_short_16: J6HRD6CXZGXTARNE · pith_short_8: J6HRD6CX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/J6HRD6CXZGXTARNE3VNNH37JUG \
  | 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: 4f8f11f857c9af3045a4dd5ad3efe9a1b88af3641dc662d1dd1dc9260217a927
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2981f5a0332d9e0e9d39866edf2b82bbc3346f8068de24cae87fdca773f301ab",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2020-08-07T20:11:55Z",
    "title_canon_sha256": "2f93449853c4c6d01822658026bedbe81d81814acf9a0d108523be12d3b375ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.03361",
    "kind": "arxiv",
    "version": 2
  }
}