Pith Number

pith:GIDKYOGS

pith:2016:GIDKYOGSFMQ5T6RZZGCBUWRE5A

not attested not anchored not stored refs pending

A new generalisation of Macdonald polynomials

Alexandr Garbali, Jan de Gier, Michael Wheeler

arxiv:1605.07200 v1 · 2016-05-23 · math-ph · math.CO · 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{GIDKYOGSFMQ5T6RZZGCBUWRE5A}

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

Inhomogeneous $q$-Whittaker polynomials II: ring theorem and positive specializations

Receipt and verification

First computed	2026-05-18T00:47:20.931480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3206ac38d22b21d9fa39c9841a5a24e815b9912c08eba6536283caf4bfd489e0

Aliases

arxiv: 1605.07200 · arxiv_version: 1605.07200v1 · doi: 10.48550/arxiv.1605.07200 · pith_short_12: GIDKYOGSFMQ5 · pith_short_16: GIDKYOGSFMQ5T6RZ · pith_short_8: GIDKYOGS

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/GIDKYOGSFMQ5T6RZZGCBUWRE5A \
  | 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: 3206ac38d22b21d9fa39c9841a5a24e815b9912c08eba6536283caf4bfd489e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20466cf2fc7f2580e295e68e7cc47cb2bfa454dca15b6d6b286fa5b32c039f3f",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-05-23T20:08:43Z",
    "title_canon_sha256": "8bac3216794df227ada9446aba5feffc789472297c75d5b26c42bf98b355a3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07200",
    "kind": "arxiv",
    "version": 1
  }
}