Pith Number

pith:WVZ7GRL7

pith:2023:WVZ7GRL7PWAHYGTX3G4ZVJJXXI

not attested not anchored not stored refs pending

Some combinatorial interpretations of the Macdonald identities for affine root systems and Nekrasov--Okounkov type formulas

David Wahiche

arxiv:2306.08071 v2 · 2023-06-13 · math.CO · math-ph · math.MP · 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{WVZ7GRL7PWAHYGTX3G4ZVJJXXI}

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

2 papers in Pith

Core abaci and Diophantine equations I: fundamental weight

Receipt and verification

First computed	2026-05-20T00:00:13.934284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b573f3457f7d807c1a77d9b99aa537ba04bf03979cfa8cdff2347267400954b8

Aliases

arxiv: 2306.08071 · arxiv_version: 2306.08071v2 · doi: 10.48550/arxiv.2306.08071 · pith_short_12: WVZ7GRL7PWAH · pith_short_16: WVZ7GRL7PWAHYGTX · pith_short_8: WVZ7GRL7

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/WVZ7GRL7PWAHYGTX3G4ZVJJXXI \
  | 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: b573f3457f7d807c1a77d9b99aa537ba04bf03979cfa8cdff2347267400954b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05829ee96fab20719f41c61e707dc5b1e3b05e55ba97c6c9c678aa084d321682",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-06-13T18:36:44Z",
    "title_canon_sha256": "5049dc1b22fa466c73525676c1581537341960ab1913c8ac06d09f2339a8175b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.08071",
    "kind": "arxiv",
    "version": 2
  }
}