Pith Number

pith:XWJEV7YO

pith:2012:XWJEV7YO2QTFB4RXK2SL4USXDP

not attested not anchored not stored refs pending

A direct approach to the bispectral problem for the Ruijsenaars-Macdonald q-difference operators

Jun'ichi Shiraishi, Masatoshi Noumi

arxiv:1206.5364 v1 · 2012-06-23 · 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{XWJEV7YO2QTFB4RXK2SL4USXDP}

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

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

Receipt and verification

First computed	2026-05-18T03:52:40.296783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd924aff0ed42650f23756a4be52571bca1e80a8735bbb1154f83cf78c65f940

Aliases

arxiv: 1206.5364 · arxiv_version: 1206.5364v1 · doi: 10.48550/arxiv.1206.5364 · pith_short_12: XWJEV7YO2QTF · pith_short_16: XWJEV7YO2QTFB4RX · pith_short_8: XWJEV7YO

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/XWJEV7YO2QTFB4RXK2SL4USXDP \
  | 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: bd924aff0ed42650f23756a4be52571bca1e80a8735bbb1154f83cf78c65f940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d81d2347d6e2a2356dc453ef6d274b5784ea7ef2609fbdcab1fe55b0169b3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-06-23T06:26:39Z",
    "title_canon_sha256": "2da9172e9c0890a90714a265f9673aad441e90131d1f6744e5f3c29093c4fe9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5364",
    "kind": "arxiv",
    "version": 1
  }
}