Pith Number

pith:M4Z7N3MN

pith:2026:M4Z7N3MN4G7MPYBZGIUDXKOOTN

not attested not anchored not stored refs pending

Ramanujan's and Lim's Identities and Harmonic Maass--Jacobi Forms

Badri Vishal Pandey, Kathrin Bringmann, Rajat Gupta

arxiv:2606.13173 v1 · 2026-06-11 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4Z7N3MN4G7MPYBZGIUDXKOOTN}

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	2026-06-12T01:09:44.943807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6733f6ed8de1bec7e03932283ba9ce9b55e55368045cf9060a292273914b8c36

Aliases

arxiv: 2606.13173 · arxiv_version: 2606.13173v1 · doi: 10.48550/arxiv.2606.13173 · pith_short_12: M4Z7N3MN4G7M · pith_short_16: M4Z7N3MN4G7MPYBZ · pith_short_8: M4Z7N3MN

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/M4Z7N3MN4G7MPYBZGIUDXKOOTN \
  | 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: 6733f6ed8de1bec7e03932283ba9ce9b55e55368045cf9060a292273914b8c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95e6354615b49d8578fef1d2fef5e5ceb34b17e342bdc9b77dd5f14955d7a288",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-11T10:43:36Z",
    "title_canon_sha256": "c39f30c174537eae7e01b61ed2f3ea578695da81e7a63dcad744801f2557cc8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13173",
    "kind": "arxiv",
    "version": 1
  }
}