Pith Number

pith:4WCOMHWS

pith:2011:4WCOMHWSENCWYDGSAY5H72ATWK

not attested not anchored not stored refs pending

Deformation Expression for Elements of Algebras (IV) --Matrix elements and related integrals--

Akira Yoshioka, Hideki Omori, Naoya Miyazaki, Yoshiaki Maeda

arxiv:1109.0082 v1 · 2011-09-01 · 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{4WCOMHWSENCWYDGSAY5H72ATWK}

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	2026-05-18T04:14:17.502973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e584e61ed223456c0cd2063a7fe813b2ac5a1bb50762d369c670a259d3e74b30

Aliases

arxiv: 1109.0082 · arxiv_version: 1109.0082v1 · doi: 10.48550/arxiv.1109.0082 · pith_short_12: 4WCOMHWSENCW · pith_short_16: 4WCOMHWSENCWYDGS · pith_short_8: 4WCOMHWS

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/4WCOMHWSENCWYDGSAY5H72ATWK \
  | 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: e584e61ed223456c0cd2063a7fe813b2ac5a1bb50762d369c670a259d3e74b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12211df09e756ab0d07908c2f0b1d4535b7f763c20017907f95472d8f2496ec5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-01T03:45:28Z",
    "title_canon_sha256": "11069defd4426d2752249f4218cd69848794a293fb1bafa59c54324f4abda0e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0082",
    "kind": "arxiv",
    "version": 1
  }
}