Pith Number

pith:JKKKR4MW

pith:2026:JKKKR4MWR22V6D5QLTU7R3DZJC

not attested not anchored not stored refs pending

On Ramanujan's Continued Fractions of Orders Five, Ten, and Twenty and Associated Lambert Series Identities

B. R. Srivatsa Kumar, Shruthi C. Bhat

arxiv:2601.10752 v2 · 2026-01-13 · 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{JKKKR4MWR22V6D5QLTU7R3DZJC}

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	2026-06-09T01:05:12.799608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a94a8f1968eb55f0fb05ce9f8ec79489bf5a9bbb202e8f59f32d233318bd1ec

Aliases

arxiv: 2601.10752 · arxiv_version: 2601.10752v2 · doi: 10.48550/arxiv.2601.10752 · pith_short_12: JKKKR4MWR22V · pith_short_16: JKKKR4MWR22V6D5Q · pith_short_8: JKKKR4MW

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/JKKKR4MWR22V6D5QLTU7R3DZJC \
  | 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: 4a94a8f1968eb55f0fb05ce9f8ec79489bf5a9bbb202e8f59f32d233318bd1ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a021d46c3f95a1d961fc624f522aa691634c99679c7ae9836842ef3788ac7c7a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-01-13T09:27:02Z",
    "title_canon_sha256": "9fe86b75fe927a1e521348d3072ae7fb823c5abf27c3b064989428e438268bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.10752",
    "kind": "arxiv",
    "version": 2
  }
}