Pith Number

pith:F5K7PJLT

pith:2026:F5K7PJLTMO43AT2ZDSS2ZSAIR6

not attested not anchored not stored refs pending

Proofs of four conjectural identities on modular rank four Nahm sums

Haijun Li

arxiv:2606.25866 v1 · 2026-06-24 · 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{F5K7PJLTMO43AT2ZDSS2ZSAIR6}

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	2026-06-25T01:18:41.602673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f55f7a57363b9b04f591ca5acc8088f890916fcc36c35474e56d70bbbe0b0fa

Aliases

arxiv: 2606.25866 · arxiv_version: 2606.25866v1 · doi: 10.48550/arxiv.2606.25866 · pith_short_12: F5K7PJLTMO43 · pith_short_16: F5K7PJLTMO43AT2Z · pith_short_8: F5K7PJLT

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/F5K7PJLTMO43AT2ZDSS2ZSAIR6 \
  | 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: 2f55f7a57363b9b04f591ca5acc8088f890916fcc36c35474e56d70bbbe0b0fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe714a46858f6cef8463a4cfb79afb54d2e05c699c16fbddc5d00971c2bbd1e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-24T14:13:10Z",
    "title_canon_sha256": "85c6fe850414739b85e882aa9429c435bb4a42942185b29e50c2c35142523bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25866",
    "kind": "arxiv",
    "version": 1
  }
}