Pith Number

pith:RYMCRMJY

pith:2025:RYMCRMJYYDNO3S74KM2HD3Q43L

not attested not anchored not stored refs pending

Calogero-Sutherland-type quantum systems, generalized hypergeometric functions and superintegrability for integral chains

Fan Liu, Jie Yang, Rui Wang, Wei-Zhong Zhao

arxiv:2502.18921 v3 · 2025-02-26 · hep-th · 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{RYMCRMJYYDNO3S74KM2HD3Q43L}

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.

Cited by

1 paper in Pith

Finite size corrections in the bulk for circular $\beta$ ensembles

Receipt and verification

First computed	2026-07-05T11:56:17.849219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e1828b138c0daedcbfc533471ee1cdacd32ddd0dd2bf1a563777f19c6dcbd1f

Aliases

arxiv: 2502.18921 · arxiv_version: 2502.18921v3 · doi: 10.48550/arxiv.2502.18921 · pith_short_12: RYMCRMJYYDNO · pith_short_16: RYMCRMJYYDNO3S74 · pith_short_8: RYMCRMJY

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/RYMCRMJYYDNO3S74KM2HD3Q43L \
  | 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: 8e1828b138c0daedcbfc533471ee1cdacd32ddd0dd2bf1a563777f19c6dcbd1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66fcd176badc182430be396dbd1f0e326f959b703641cc936ca6dfa9a12ed2da",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-02-26T08:18:18Z",
    "title_canon_sha256": "009caaf5137b8f0ef0d900be716cb940e0afa846271ea5fd32297781b8ed31dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.18921",
    "kind": "arxiv",
    "version": 3
  }
}