Pith Number

pith:Y5CXWRXR

pith:2025:Y5CXWRXRGB3WTT4EJHVJ6VS4TY

not attested not anchored not stored refs pending

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

Liuquan Wang, Zhineng Cao

arxiv:2508.12468 v1 · 2025-08-17 · 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{Y5CXWRXRGB3WTT4EJHVJ6VS4TY}

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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

4 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	2026-07-05T11:55:06.181228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7457b46f1307769cf8449ea9f565c9e2d9a123f2c6edcb4675044d0634c0f86

Aliases

arxiv: 2508.12468 · arxiv_version: 2508.12468v1 · doi: 10.48550/arxiv.2508.12468 · pith_short_12: Y5CXWRXRGB3W · pith_short_16: Y5CXWRXRGB3WTT4E · pith_short_8: Y5CXWRXR

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/Y5CXWRXRGB3WTT4EJHVJ6VS4TY \
  | 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: c7457b46f1307769cf8449ea9f565c9e2d9a123f2c6edcb4675044d0634c0f86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e261f5e550c922970fc9e321e3b15c7de1849e2618a94c4e4d290b4b9e3b41d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-17T18:48:25Z",
    "title_canon_sha256": "1c0060cc0da9ce2ce4fbf320bdc9f494bd4a65283fb5c3ed5af2f6b7581073a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12468",
    "kind": "arxiv",
    "version": 1
  }
}