Pith Number

pith:PYSL4MDO

pith:2022:PYSL4MDOX5CDOXWS6HAVE7VEA3

not attested not anchored not stored refs pending

Bethe ansatz diagonalization of the Heun-Racah operator

Gauvain Carcone, Luc Vinet, Nicolas Crampe, Pierre-Antoine Bernard

arxiv:2209.09213 v1 · 2022-09-19 · 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{PYSL4MDOX5CDOXWS6HAVE7VEA3}

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

The $q$-Racah polynomials from scalar products of Bethe states II

Receipt and verification

First computed	2026-07-05T05:37:41.837207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e24be306ebf44375ed2f1c1527ea406e3a8252cd38caa3c0c5099ea25a99bb8

Aliases

arxiv: 2209.09213 · arxiv_version: 2209.09213v1 · doi: 10.48550/arxiv.2209.09213 · pith_short_12: PYSL4MDOX5CD · pith_short_16: PYSL4MDOX5CDOXWS · pith_short_8: PYSL4MDO

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/PYSL4MDOX5CDOXWS6HAVE7VEA3 \
  | 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: 7e24be306ebf44375ed2f1c1527ea406e3a8252cd38caa3c0c5099ea25a99bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb9edef1de6f1cb1909fc7e711d75f0618fe6d80769aaf69a0ae7ac23b5dcc69",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-09-19T17:28:39Z",
    "title_canon_sha256": "7167bb48d51f3a8d3df9428c0f3101fff0e1bbbd8aa9cda3509283dc7b655a65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.09213",
    "kind": "arxiv",
    "version": 1
  }
}