Pith Number

pith:FMUBBNKF

pith:2011:FMUBBNKF3CDKMIO2KBVVAFHX7W

not attested not anchored not stored refs pending

Deformation Expression for Elements of Algebras (V) - Diagonal matrix calculus and $*$-special functions -

Akira Yoshioka, Hideki Omori, Naoya Miyazaki, Yoshiaki Maeda

arxiv:1111.1806 v1 · 2011-11-08 · 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{FMUBBNKF3CDKMIO2KBVVAFHX7W}

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	2026-05-18T04:09:24.698472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b2810b545d886a621da506b5014f7fd84c54eb256b345508733c9b12472298a

Aliases

arxiv: 1111.1806 · arxiv_version: 1111.1806v1 · doi: 10.48550/arxiv.1111.1806 · pith_short_12: FMUBBNKF3CDK · pith_short_16: FMUBBNKF3CDKMIO2 · pith_short_8: FMUBBNKF

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/FMUBBNKF3CDKMIO2KBVVAFHX7W \
  | 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: 2b2810b545d886a621da506b5014f7fd84c54eb256b345508733c9b12472298a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5374ddbd8ca2f92db3d9fbb283c927b3b75f0147a8b7aee60501c1eb345c655c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-08T05:31:16Z",
    "title_canon_sha256": "2134f450a711fa6a8d72478f0b43ecbaa5dfed0414cafdeab59c580e7658f729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1806",
    "kind": "arxiv",
    "version": 1
  }
}