Pith Number

pith:WPQYZ2DX

pith:2012:WPQYZ2DXB3AADKPJCSBN3IWOYL

not attested not anchored not stored refs pending

On generalized universal irrational rotation algebras and the operator $u+v$

Chunlan Jiang, Feng Xu, Huaxin Lin, Junsheng Fang

arxiv:1210.4771 v1 · 2012-10-17 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPQYZ2DXB3AADKPJCSBN3IWOYL}

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	2026-05-18T03:42:56.218614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3e18ce8770ec001a9e91482dda2cec2ff9893da82a8f5e4241b5dce75313cc0

Aliases

arxiv: 1210.4771 · arxiv_version: 1210.4771v1 · doi: 10.48550/arxiv.1210.4771 · pith_short_12: WPQYZ2DXB3AA · pith_short_16: WPQYZ2DXB3AADKPJ · pith_short_8: WPQYZ2DX

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/WPQYZ2DXB3AADKPJCSBN3IWOYL \
  | 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: b3e18ce8770ec001a9e91482dda2cec2ff9893da82a8f5e4241b5dce75313cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74ee9fae2c7d7e3e12b8d7133125ae77f3961caa0a586526f00def422523dade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-10-17T15:34:27Z",
    "title_canon_sha256": "1ebe4552fb7e57ab09a5a8fe6902046f9c8fb0f3fcd0ff2671c143cab6acbf68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4771",
    "kind": "arxiv",
    "version": 1
  }
}