Pith Number

pith:ALY55CUN

pith:2024:ALY55CUNG5ABKYL7O27QZDAZI7

not attested not anchored not stored refs pending

Macdonald polynomials for super-partitions

Alexei Morozov, Dmitry Galakhov, Nikita Tselousov

arxiv:2407.03301 v1 · 2024-07-03 · hep-th · math-ph · math.MP · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALY55CUNG5ABKYL7O27QZDAZI7}

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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	2026-07-05T08:53:23.786160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02f1de8a8d374015617f76bf0c8c1947d988061b16c63d4d1612b82478d480d3

Aliases

arxiv: 2407.03301 · arxiv_version: 2407.03301v1 · doi: 10.48550/arxiv.2407.03301 · pith_short_12: ALY55CUNG5AB · pith_short_16: ALY55CUNG5ABKYL7 · pith_short_8: ALY55CUN

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/ALY55CUNG5ABKYL7O27QZDAZI7 \
  | 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: 02f1de8a8d374015617f76bf0c8c1947d988061b16c63d4d1612b82478d480d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67497ca6945b5e4fead4196f73b7b9acc309b96a215e9a650b55dbb8d6129145",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-07-03T17:42:51Z",
    "title_canon_sha256": "c37131050a88918f6057922b006d2aac27158b3b99f567fcd89521d2da737fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.03301",
    "kind": "arxiv",
    "version": 1
  }
}