Pith Number

pith:CABZSTIX

pith:2015:CABZSTIXAHI7DMVAGRMG355XXC

not attested not anchored not stored refs pending

Cartan maps and projective modules

Guangjun Zhu, Ming-chang Kang

arxiv:1508.00095 v4 · 2015-08-01 · math.GR · 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{CABZSTIXAHI7DMVAGRMG355XXC}

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	2026-05-18T01:32:36.831500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1003994d1701d1f1b2a034586df7b7b8a76dd8c9c40bfb9e2d4f9e810c993608

Aliases

arxiv: 1508.00095 · arxiv_version: 1508.00095v4 · doi: 10.48550/arxiv.1508.00095 · pith_short_12: CABZSTIXAHI7 · pith_short_16: CABZSTIXAHI7DMVA · pith_short_8: CABZSTIX

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/CABZSTIXAHI7DMVAGRMG355XXC \
  | 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: 1003994d1701d1f1b2a034586df7b7b8a76dd8c9c40bfb9e2d4f9e810c993608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45330d926ff6b83ffbd697803480bab8b72122c8ead5002eb28e8a759365b001",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-01T07:38:55Z",
    "title_canon_sha256": "06f152f632e947b8f4cd3411ea9f04b407ebf7b6d09a7d58aad13d3c64b9ea87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00095",
    "kind": "arxiv",
    "version": 4
  }
}