Pith Number

pith:J76JPDFG

pith:2025:J76JPDFG5YFQZRUT3A5SPD7WBI

not attested not anchored not stored refs pending

Super-Hamiltonians for super-Macdonald polynomials

Alexei Morozov, Dmitry Galakhov, Nikita Tselousov

arxiv:2501.14714 v2 · 2025-01-24 · 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{J76JPDFG5YFQZRUT3A5SPD7WBI}

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	2026-07-05T10:55:29.681443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ffc978ca6ee0b0cc693d83b278ff60a3b671e2af6f8ee12ab80f8c4d044f4ac

Aliases

arxiv: 2501.14714 · arxiv_version: 2501.14714v2 · doi: 10.48550/arxiv.2501.14714 · pith_short_12: J76JPDFG5YFQ · pith_short_16: J76JPDFG5YFQZRUT · pith_short_8: J76JPDFG

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/J76JPDFG5YFQZRUT3A5SPD7WBI \
  | 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: 4ffc978ca6ee0b0cc693d83b278ff60a3b671e2af6f8ee12ab80f8c4d044f4ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1359ffd603c6bde67cfd8fc87cc107615946e6834c05820afc963b51e04318b2",
    "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": "2025-01-24T18:46:52Z",
    "title_canon_sha256": "e05752115330f3b2f981d49b101edca0492aa8f8238f051cf8475ec72b887462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.14714",
    "kind": "arxiv",
    "version": 2
  }
}