Pith Number

pith:OYYD2GOR

pith:2016:OYYD2GOR6UYRFWZ5NEQSQYMYTM

not attested not anchored not stored refs pending

Representations of the canonical commutation relations--algebra and the operators of stochastic calculus

Feng Tian, Palle Jorgensen

arxiv:1601.01482 v2 · 2016-01-07 · math.OA · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYYD2GOR6UYRFWZ5NEQSQYMYTM}

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	2026-05-18T01:23:11.598183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76303d19d1f53112db3d69212861989b0157fa9ec860da964217068f2255a1f6

Aliases

arxiv: 1601.01482 · arxiv_version: 1601.01482v2 · doi: 10.48550/arxiv.1601.01482 · pith_short_12: OYYD2GOR6UYR · pith_short_16: OYYD2GOR6UYRFWZ5 · pith_short_8: OYYD2GOR

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/OYYD2GOR6UYRFWZ5NEQSQYMYTM \
  | 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: 76303d19d1f53112db3d69212861989b0157fa9ec860da964217068f2255a1f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "042b88f212bb38d9f64263991c14dedd38040751ea665b4923f9f3573f46233a",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-01-07T11:02:58Z",
    "title_canon_sha256": "1528239600965769baa9aecba921956bd982d01411e82082e2ee6b12daec7169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01482",
    "kind": "arxiv",
    "version": 2
  }
}