Pith Number

pith:WRVGGTJ3

pith:2011:WRVGGTJ37ME2JSOW42RXQZEY5Z

not attested not anchored not stored refs pending

Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--

Akira Yoshioka, Hideki Omori, Naoya Miyazaki, Yoshiaki Maeda

arxiv:1107.2474 v1 · 2011-07-13 · math-ph · 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{WRVGGTJ37ME2JSOW42RXQZEY5Z}

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	2026-05-18T04:18:22.956127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46a634d3bfb09a4c9d6e6a3786498ee50c88ff270994a6d89a0178b403fa7b9

Aliases

arxiv: 1107.2474 · arxiv_version: 1107.2474v1 · doi: 10.48550/arxiv.1107.2474 · pith_short_12: WRVGGTJ37ME2 · pith_short_16: WRVGGTJ37ME2JSOW · pith_short_8: WRVGGTJ3

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/WRVGGTJ37ME2JSOW42RXQZEY5Z \
  | 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: b46a634d3bfb09a4c9d6e6a3786498ee50c88ff270994a6d89a0178b403fa7b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba49774793ca906b57154e0de73d9694f69d3ea442f3b75da92424e9a95890a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-13T07:18:16Z",
    "title_canon_sha256": "2ed1c70794096902260ccc3deaa4b1a1237ae523112ff3fbf56ae2e86e936dba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2474",
    "kind": "arxiv",
    "version": 1
  }
}