Pith Number

pith:U6UFZ3JY

pith:2011:U6UFZ3JYDNAACTTOIUEQWNVCEN

not attested not anchored not stored refs pending

Deformation Expression for Elements of Algebras (I) --(Jacobi's theta functions and *-exponential functions)--

Akira Yoshioka, Hideki Omori, Naoya Miyazaki, Yoshiaki Maeda

arxiv:1104.2109 v1 · 2011-04-12 · 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{U6UFZ3JYDNAACTTOIUEQWNVCEN}

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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	2026-05-18T04:24:35.887440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7a85ced381b40014e6e45090b36a2234fd64aa2fb2060a2d2b2adf90e6cf29e

Aliases

arxiv: 1104.2109 · arxiv_version: 1104.2109v1 · doi: 10.48550/arxiv.1104.2109 · pith_short_12: U6UFZ3JYDNAA · pith_short_16: U6UFZ3JYDNAACTTO · pith_short_8: U6UFZ3JY

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/U6UFZ3JYDNAACTTOIUEQWNVCEN \
  | 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: a7a85ced381b40014e6e45090b36a2234fd64aa2fb2060a2d2b2adf90e6cf29e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef788fd7e52c179b2b472908e8cc4385541c08bfa4caac01ec2b7254004c96e6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-12T03:47:33Z",
    "title_canon_sha256": "bffe3661cc749c67b2a05f50a59f6f78ddcbdce5dc8c7bd131f0f8bd81faf574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2109",
    "kind": "arxiv",
    "version": 1
  }
}