Pith Number

pith:NSOJCAGD

pith:2012:NSOJCAGDGRSECUTMCQPAGYKIQT

not attested not anchored not stored refs pending

Macdonald polynomials in superspace as eigenfunctions of commuting operators

L. Lapointe, O. Blondeau-Fournier, P. Desrosiers, P. Mathieu

arxiv:1202.3922 v2 · 2012-02-17 · math-ph · hep-th · math.CO · 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{NSOJCAGDGRSECUTMCQPAGYKIQT}

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

Shifted quantum toroidal algebra of type $\mathfrak{gl}_{1|1}$ and the Pieri rule of the super Macdonald polynomials

Receipt and verification

First computed	2026-05-18T03:19:24.438010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c9c9100c3346441526c141e03614884df227c4901dd17354c67423b768da0ba

Aliases

arxiv: 1202.3922 · arxiv_version: 1202.3922v2 · doi: 10.48550/arxiv.1202.3922 · pith_short_12: NSOJCAGDGRSE · pith_short_16: NSOJCAGDGRSECUTM · pith_short_8: NSOJCAGD

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/NSOJCAGDGRSECUTMCQPAGYKIQT \
  | 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: 6c9c9100c3346441526c141e03614884df227c4901dd17354c67423b768da0ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e5bdae17b6580647bc4d485f632beadcc60d43013b324d30441815736c073f",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-17T14:48:28Z",
    "title_canon_sha256": "06d25593cace7c97bf6782d14fff132a725e47efe3dada675700f3888f2fa240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3922",
    "kind": "arxiv",
    "version": 2
  }
}