Pith Number

pith:ZJPJ4VZR

pith:2025:ZJPJ4VZR5BPQHNLVVZ7DOBD2YK

not attested not anchored not stored refs pending

Modularity of tadpole Nahm sums in ranks 4 and 5

Changsong Shi, Liuquan Wang

arxiv:2504.17737 v1 · 2025-04-24 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJPJ4VZR5BPQHNLVVZ7DOBD2YK}

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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

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples

Receipt and verification

First computed	2026-07-05T10:53:40.292479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca5e9e5731e85f03b575ae7e37047ac2b0e820ef6862e07f1c708c753d8b8bb1

Aliases

arxiv: 2504.17737 · arxiv_version: 2504.17737v1 · doi: 10.48550/arxiv.2504.17737 · pith_short_12: ZJPJ4VZR5BPQ · pith_short_16: ZJPJ4VZR5BPQHNLV · pith_short_8: ZJPJ4VZR

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/ZJPJ4VZR5BPQHNLVVZ7DOBD2YK \
  | 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: ca5e9e5731e85f03b575ae7e37047ac2b0e820ef6862e07f1c708c753d8b8bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1c327fcdc92e66f52b67729aa4bf1215445f875021874a7ad7c11d445ec1240",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-24T16:49:38Z",
    "title_canon_sha256": "062c5de7c184e0fcad066bcdd6fd2e36adb6e6a9f4b586f0f8b64859f1a991ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17737",
    "kind": "arxiv",
    "version": 1
  }
}