Pith Number

pith:QI32BPXA

pith:1995:QI32BPXAUNTO2GEIPUFIVO54LG

not attested not anchored not stored refs pending

The Riesz-Clifford Functional Calculus for Non-Commuting Operators and Quantum Field Theory

Enrique Ram\'irez de Arellano, Vladimir V. Kisil

arxiv:funct-an/9502006 v1 · 1995-02-25 · funct-an · hep-th · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QI32BPXAUNTO2GEIPUFIVO54LG}

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	2026-05-18T01:00:27.243085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8237a0bee0a366ed18887d0a8abbbc59a902d4903d8d6742527c1566290b9d86

Aliases

arxiv: funct-an/9502006 · arxiv_version: funct-an/9502006v1 · doi: 10.48550/arxiv.funct-an/9502006 · pith_short_12: QI32BPXAUNTO · pith_short_16: QI32BPXAUNTO2GEI · pith_short_8: QI32BPXA

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/QI32BPXAUNTO2GEIPUFIVO54LG \
  | 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: 8237a0bee0a366ed18887d0a8abbbc59a902d4903d8d6742527c1566290b9d86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a29802b2fc5fe17add50776f283ea99b8c7c51b76046483dde291fb2149d18",
    "cross_cats_sorted": [
      "hep-th",
      "math.OA",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "funct-an",
    "submitted_at": "1995-02-25T23:45:40Z",
    "title_canon_sha256": "a8b2870f17f5db9dee429fa6c844a6bb0b2940895d5d1c46abd93c9aed5a2cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "funct-an/9502006",
    "kind": "arxiv",
    "version": 1
  }
}