Pith Number

pith:ZI5SSIJX

pith:2012:ZI5SSIJXOOMF7NCD5CCIX7XUBF

not attested not anchored not stored refs pending

On the representation of $A_{\kk}(2)$ algebra and $A_{\kk}(d)$ algebra

Won Sang Chung

arxiv:1212.6340 v1 · 2012-12-27 · 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{ZI5SSIJXOOMF7NCD5CCIX7XUBF}

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	2026-05-18T03:37:40.093406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca3b29213773985fb443e8848bfef4095382868aa9f380912e85533b350845ee

Aliases

arxiv: 1212.6340 · arxiv_version: 1212.6340v1 · doi: 10.48550/arxiv.1212.6340 · pith_short_12: ZI5SSIJXOOMF · pith_short_16: ZI5SSIJXOOMF7NCD · pith_short_8: ZI5SSIJX

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/ZI5SSIJXOOMF7NCD5CCIX7XUBF \
  | 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: ca3b29213773985fb443e8848bfef4095382868aa9f380912e85533b350845ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b34244fc554e2963bb611fecd9aaa34536fa1222fa127fbd30daa734b2139931",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-27T10:49:54Z",
    "title_canon_sha256": "6f2a4c4e027e5506184780b363935f364bed058f97deb3d3841b4415bd52d282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6340",
    "kind": "arxiv",
    "version": 1
  }
}