Pith Number

pith:ZBJKEOSW

pith:2018:ZBJKEOSWJ673LPGTCR5AP4U223

not attested not anchored not stored refs pending

Markov semi-groups associated with the complex unimodular group $Sl(2,\mathbb{C})$

Nizar Demni

arxiv:1807.09238 v3 · 2018-07-24 · math.PR · 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{ZBJKEOSWJ673LPGTCR5AP4U223}

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	2026-05-17T23:48:40.319176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c852a23a564fbfb5bcd3147a07f29ad6ef7af373f5d38832aa5cf79c3457c4bd

Aliases

arxiv: 1807.09238 · arxiv_version: 1807.09238v3 · doi: 10.48550/arxiv.1807.09238 · pith_short_12: ZBJKEOSWJ673 · pith_short_16: ZBJKEOSWJ673LPGT · pith_short_8: ZBJKEOSW

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/ZBJKEOSWJ673LPGTCR5AP4U223 \
  | 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: c852a23a564fbfb5bcd3147a07f29ad6ef7af373f5d38832aa5cf79c3457c4bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced2c565f6ca17e4bb3c85bfe7423cf56407aadc086fbeb2cd51cf4f7be45239",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-24T17:20:09Z",
    "title_canon_sha256": "39bcca53ea75ab53e47b7574df928e41d68c5a836d61ead0ae56799004062bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09238",
    "kind": "arxiv",
    "version": 3
  }
}