Pith Number

pith:GCKMWX3J

pith:2016:GCKMWX3JOIS2VYGTO4IPJC6NOB

not attested not anchored not stored refs pending

Wick calculus for noncommutative white noise corresponding to $q$-deformed commutation relations

Eugene Lytvynov, Un Cig Ji

arxiv:1608.00211 v2 · 2016-07-31 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCKMWX3JOIS2VYGTO4IPJC6NOB}

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	2026-05-18T00:54:57.837291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3094cb5f697225aae0d37710f48bcd704317b0bc23025248ca847ef6e3b533fe

Aliases

arxiv: 1608.00211 · arxiv_version: 1608.00211v2 · doi: 10.48550/arxiv.1608.00211 · pith_short_12: GCKMWX3JOIS2 · pith_short_16: GCKMWX3JOIS2VYGT · pith_short_8: GCKMWX3J

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/GCKMWX3JOIS2VYGTO4IPJC6NOB \
  | 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: 3094cb5f697225aae0d37710f48bcd704317b0bc23025248ca847ef6e3b533fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c9c11852d087d756680cac4966d37bda75c7702c41e5d8b55d4e50853c8e206",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-31T12:24:34Z",
    "title_canon_sha256": "1a99945b5a52bbcaba34b631ac6015ea31e99d67a4eb161aca436c5295e512b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00211",
    "kind": "arxiv",
    "version": 2
  }
}