Pith Number

pith:L6KUZZQ6

pith:2011:L6KUZZQ63PKDTRYAKTGMXJCA5Q

not attested not anchored not stored refs pending

Macdonald polynomials in superspace: conjectural definition and positivity conjectures

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

arxiv:1112.5188 v1 · 2011-12-21 · 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{L6KUZZQ63PKDTRYAKTGMXJCA5Q}

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	2026-05-18T03:48:58.978662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f954ce61edbd439c70054cccba440ec3bebc32e933cc958072062c6ce9ffcf8

Aliases

arxiv: 1112.5188 · arxiv_version: 1112.5188v1 · doi: 10.48550/arxiv.1112.5188 · pith_short_12: L6KUZZQ63PKD · pith_short_16: L6KUZZQ63PKDTRYA · pith_short_8: L6KUZZQ6

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/L6KUZZQ63PKDTRYAKTGMXJCA5Q \
  | 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: 5f954ce61edbd439c70054cccba440ec3bebc32e933cc958072062c6ce9ffcf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8beb4bcd1c4efd8035634879dc949b0c6b8c644b5d1d4a48d2b6475b8460bbd5",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-21T21:56:13Z",
    "title_canon_sha256": "b00bb7e06ae10c5913a77397654532ffb3323b84a0d35c28f96c9aa1f6a5f795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5188",
    "kind": "arxiv",
    "version": 1
  }
}