Pith Number

pith:DN77OQOP

pith:2026:DN77OQOP5VNHWOLMF36GWUOWAR

not attested not anchored not stored refs pending

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

Liuquan Wang, Shangwen Wang

arxiv:2607.08606 v1 · 2026-07-09 · 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{DN77OQOP5VNHWOLMF36GWUOWAR}

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.

Receipt and verification

First computed	2026-07-10T01:19:55.064722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b7ff741cfed5a7b396c2efc6b51d6047ca663714c0adc85846f09d482f8fd33

Aliases

arxiv: 2607.08606 · arxiv_version: 2607.08606v1 · doi: 10.48550/arxiv.2607.08606 · pith_short_12: DN77OQOP5VNH · pith_short_16: DN77OQOP5VNHWOLM · pith_short_8: DN77OQOP

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/DN77OQOP5VNHWOLMF36GWUOWAR \
  | 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: 1b7ff741cfed5a7b396c2efc6b51d6047ca663714c0adc85846f09d482f8fd33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade3b3d9b57718a7891d5fdab239d92bf7e057547a9f3c2b58816484cdc2d35e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-09T15:36:04Z",
    "title_canon_sha256": "842093670df4c605958be03fddf4642e6c58cd2a79afcfc76c43328e43186e59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08606",
    "kind": "arxiv",
    "version": 1
  }
}