Pith Number

pith:J4DLPQNL

pith:1996:J4DLPQNLF3V2RK75ZHKDMKJXRV

not attested not anchored not stored refs pending

A reproducing kernel for nonsymmetric Macdonald polynomials

K. Mimachi, M. Noumi

arxiv:q-alg/9610014 v1 · 1996-10-11 · q-alg · 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{J4DLPQNLF3V2RK75ZHKDMKJXRV}

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

3 papers in Pith

Integrable systems inspired by DAHA and DIM algebra: type $C^\vee C$ versus type $A$

Twisted Cherednik spectrum as a $q,t$-deformation

Symmetric polynomials: DIM integrable systems versus twisted Cherednik systems

Receipt and verification

First computed	2026-07-04T15:09:09.593041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f06b7c1ab2eeba8abfdc9d43629378d4a5eb35d936b8cb06d562e1a2ad6d61f

Aliases

arxiv: q-alg/9610014 · arxiv_version: q-alg/9610014v1 · doi: 10.48550/arxiv.q-alg/9610014 · pith_short_12: J4DLPQNLF3V2 · pith_short_16: J4DLPQNLF3V2RK75 · pith_short_8: J4DLPQNL

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/J4DLPQNLF3V2RK75ZHKDMKJXRV \
  | 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: 4f06b7c1ab2eeba8abfdc9d43629378d4a5eb35d936b8cb06d562e1a2ad6d61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d8ac857c45f8f41ec5e04e5048d6debcdd2a8524eda78447d07489a07c4316",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1996-10-11T10:16:46Z",
    "title_canon_sha256": "ae6948d89a058d16d9715041a87f2ab223177b6f37b4e55f2f370cfd71657b35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9610014",
    "kind": "arxiv",
    "version": 1
  }
}