Pith Number

pith:USQZYCC4

pith:2026:USQZYCC4CGK5LVR4BK23SAXOPA

not attested not anchored not stored refs pending

Algebraic Transfer for Operator-Valued Gaussian Chaoses:Oriented Schatten Profiles and Singular Wick Multipliers

Guangqian Zhao

arxiv:2607.16724 v1 · 2026-07-18 · 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{USQZYCC4CGK5LVR4BK23SAXOPA}

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	2026-07-21T01:20:23.716929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4a19c085c1195d5d63c0ab5b902ee783b3e282ea09c444f6e5dde40f613a092

Aliases

arxiv: 2607.16724 · arxiv_version: 2607.16724v1 · doi: 10.48550/arxiv.2607.16724 · pith_short_12: USQZYCC4CGK5 · pith_short_16: USQZYCC4CGK5LVR4 · pith_short_8: USQZYCC4

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/USQZYCC4CGK5LVR4BK23SAXOPA \
  | 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: a4a19c085c1195d5d63c0ab5b902ee783b3e282ea09c444f6e5dde40f613a092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f8be7bec893ad49d181e5241b06702084535388a7385b86692b921711b0b84b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-18T09:21:43Z",
    "title_canon_sha256": "24071e3bb711e86727f0cef3e8f23706ecabb38787a5f0aef53b95925a3589e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16724",
    "kind": "arxiv",
    "version": 1
  }
}