Pith Number

pith:XJQ26R37

pith:2026:XJQ26R37B6JXY7CTH5F5YZW56P

not attested not anchored not stored refs pending

Modularity of Nahm Sums Dual to Zagier's Rank-Three Examples

Changsong Shi, Liuquan Wang

arxiv:2607.23257 v1 · 2026-07-25 · 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{XJQ26R37B6JXY7CTH5F5YZW56P}

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.

Cited by

1 paper in Pith

Machine-Guided Recurrence Boundary Theory for Nahm Sums

Receipt and verification

First computed	2026-07-28T01:22:44.344084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba61af477f0f937c7c533f4bdc66ddf3e4ce16949d8354a03cd7b9b0afd141fb

Aliases

arxiv: 2607.23257 · arxiv_version: 2607.23257v1 · doi: 10.48550/arxiv.2607.23257 · pith_short_12: XJQ26R37B6JX · pith_short_16: XJQ26R37B6JXY7CT · pith_short_8: XJQ26R37

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/XJQ26R37B6JXY7CTH5F5YZW56P \
  | 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: ba61af477f0f937c7c533f4bdc66ddf3e4ce16949d8354a03cd7b9b0afd141fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b3958d98e458c689912ae40b244bb52b67eefe801a738f5035ac3735d453fd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-25T15:51:01Z",
    "title_canon_sha256": "6843de6e12a0b6e38f44b85038176aa844c527e426a0c4310e31f2f18739247f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23257",
    "kind": "arxiv",
    "version": 1
  }
}