Pith Number

pith:HRGGNSSZ

pith:2025:HRGGNSSZ4LMZJ6CFWEHJTTQHB6

not attested not anchored not stored refs pending

Argyres-Douglas Theories, Macdonald Indices and Arc Space of Zhu Algebra

Anindya Banerjee, Chinmaya Bhargava, George Andrews, Ranveer Kumar Singh, Runkai Tao

arxiv:2507.06294 v1 · 2025-07-08 · hep-th · math.NT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HRGGNSSZ4LMZJ6CFWEHJTTQHB6}

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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

3 papers in Pith

On conjectural fermionic formulas for the Macdonald index in Argyres-Douglas theories

Macdonald Index From Refined Kontsevich-Soibelman Operator

On conjectural fermionic formulas for the Macdonald index in Argyres-Douglas theories

Receipt and verification

First computed	2026-07-05T11:34:13.328272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c4c66ca59e2d994f845b10e99ce070fab4fe1ee59af172ad0680c86e65264e7

Aliases

arxiv: 2507.06294 · arxiv_version: 2507.06294v1 · doi: 10.48550/arxiv.2507.06294 · pith_short_12: HRGGNSSZ4LMZ · pith_short_16: HRGGNSSZ4LMZJ6CF · pith_short_8: HRGGNSSZ

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/HRGGNSSZ4LMZJ6CFWEHJTTQHB6 \
  | 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: 3c4c66ca59e2d994f845b10e99ce070fab4fe1ee59af172ad0680c86e65264e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c1ec29d42234262043e0d9c6e7e8fe7d4c44e8f25484a305902a4ff8557a1b",
    "cross_cats_sorted": [
      "math.NT",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-08T18:00:02Z",
    "title_canon_sha256": "c9f205ae7316990174f9f180e96693ecde8882e89826e0e8c5e29b77c5e69688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06294",
    "kind": "arxiv",
    "version": 1
  }
}