Pith Number

pith:MYKQARDI

pith:2016:MYKQARDIFUAGR5JWLFAUFTUV4X

not attested not anchored not stored refs pending

The generic quantum superintegrable system on the sphere and Racah operators

Plamen Iliev

arxiv:1608.04590 v3 · 2016-08-16 · math-ph · math.CA · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MYKQARDIFUAGR5JWLFAUFTUV4X}

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	2026-05-18T00:32:21.263333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66150044682d0068f536594142ce95e5e8bb68014f0dece7d1cc49ea33fe7b62

Aliases

arxiv: 1608.04590 · arxiv_version: 1608.04590v3 · doi: 10.48550/arxiv.1608.04590 · pith_short_12: MYKQARDIFUAG · pith_short_16: MYKQARDIFUAGR5JW · pith_short_8: MYKQARDI

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/MYKQARDIFUAGR5JWLFAUFTUV4X \
  | 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: 66150044682d0068f536594142ce95e5e8bb68014f0dece7d1cc49ea33fe7b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "227e532f4f93b782411e5009f96bc9a2721ae734e70f2014f3521ae3710167e6",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-16T13:43:53Z",
    "title_canon_sha256": "ac7607b8aa8d622bc2a73fc2933f976c35922d3dccdc52f7c4990b8e24cf5bfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04590",
    "kind": "arxiv",
    "version": 3
  }
}