pith. sign in
Pith Number

pith:XORYOWLE

pith:2004:XORYOWLEIU3QYDHY4TVDFD5MQW
not attested not anchored not stored refs pending

Quantized symplectic oscillator algebras of rank one

Apoorva Khare, Nicolas Guay, Wee Liang Gan

arxiv:math/0405176 v4 · 2004-05-10 · math.RT · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XORYOWLEIU3QYDHY4TVDFD5MQW}

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 2026-05-18T02:28:13.767383Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bba387596445370c0cf8e4ea328fac85836c400edb237c2dc7faf42c3638e2b8

Aliases

arxiv: math/0405176 · arxiv_version: math/0405176v4 · doi: 10.48550/arxiv.math/0405176 · pith_short_12: XORYOWLEIU3Q · pith_short_16: XORYOWLEIU3QYDHY · pith_short_8: XORYOWLE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XORYOWLEIU3QYDHY4TVDFD5MQW \
  | 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: bba387596445370c0cf8e4ea328fac85836c400edb237c2dc7faf42c3638e2b8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "56e03feea62e3e2c9e3c1107178a38d59c49a217dcc962c31aeff56366d9cd06",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-05-10T20:24:20Z",
    "title_canon_sha256": "36b4e817c801fe6757dfa65c2f963945dd99952a7fe11d45620b86aba207b22a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405176",
    "kind": "arxiv",
    "version": 4
  }
}