Pith Number

pith:INJU3AHH

pith:2017:INJU3AHHAL5QLJKPH54MCP4W5U

not attested not anchored not stored refs pending

Multidimensional Free Poisson Limits on Free Stochastic Integral Algebras

Junsheng Fang, Mingchu Gao

arxiv:1706.09198 v3 · 2017-06-28 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INJU3AHHAL5QLJKPH54MCP4W5U}

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	2026-05-18T00:18:46.460808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43534d80e702fb05a54f3f78c13f96ed311aca5b2562ad9c5d3defe8b5db7b54

Aliases

arxiv: 1706.09198 · arxiv_version: 1706.09198v3 · doi: 10.48550/arxiv.1706.09198 · pith_short_12: INJU3AHHAL5Q · pith_short_16: INJU3AHHAL5QLJKP · pith_short_8: INJU3AHH

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/INJU3AHHAL5QLJKPH54MCP4W5U \
  | 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: 43534d80e702fb05a54f3f78c13f96ed311aca5b2562ad9c5d3defe8b5db7b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a795ddbe5fc01917c46df8cb8a98692cede8cd6d5f2cbdc6578f56411275bb8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-06-28T10:10:10Z",
    "title_canon_sha256": "a8988d921befbdeecf0325d418bea44c0a37bee642a14c762ac33cc1cea17271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09198",
    "kind": "arxiv",
    "version": 3
  }
}