Pith Number

pith:3E66MBUK

pith:2024:3E66MBUKTRH3FPY7QQT4CQ253P

not attested not anchored not stored refs pending

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation

Liuquan Wang, Zhineng Cao

arxiv:2412.15767 v1 · 2024-12-20 · 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{3E66MBUKTRH3FPY7QQT4CQ253P}

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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

Modular Nahm Sums for the Inverse Cartan Matrix of Type $D_r$

Proofs of five conjectural identities on modular rank four Nahm sums

Some new modular Nahm sums of ranks 3 and 4

Receipt and verification

First computed	2026-07-05T09:52:29.756035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93de6068a9c4fb2bf1f8427c1435ddbf799e048369b5e2be52b1891dbdcdd71

Aliases

arxiv: 2412.15767 · arxiv_version: 2412.15767v1 · doi: 10.48550/arxiv.2412.15767 · pith_short_12: 3E66MBUKTRH3 · pith_short_16: 3E66MBUKTRH3FPY7 · pith_short_8: 3E66MBUK

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/3E66MBUKTRH3FPY7QQT4CQ253P \
  | 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: d93de6068a9c4fb2bf1f8427c1435ddbf799e048369b5e2be52b1891dbdcdd71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3270c7227d40625fb5b997c53f6489b262917afe932edc4a394ff79c6940b3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-20T10:37:41Z",
    "title_canon_sha256": "ea33509babda3a2073268860375bdb104803486974684a4acd855338ee61d957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15767",
    "kind": "arxiv",
    "version": 1
  }
}