Pith Number

pith:TMHTW37Z

pith:2005:TMHTW37Z7BR4WL3NDCZYIIXDA6

not attested not anchored not stored refs pending

On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions

C. Adiga, H. S. Madhusudhan, M.S.Mahadeva Naika, T. Kim

arxiv:math/0502323 v1 · 2005-02-15 · 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{TMHTW37Z7BR4WL3NDCZYIIXDA6}

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	2026-07-04T14:39:37.096408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0f3b6ff9f863cb2f6d18b38422e3079da75573f9e5bfc8660d9d949974fe5b

Aliases

arxiv: math/0502323 · arxiv_version: math/0502323v1 · doi: 10.48550/arxiv.math/0502323 · pith_short_12: TMHTW37Z7BR4 · pith_short_16: TMHTW37Z7BR4WL3N · pith_short_8: TMHTW37Z

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/TMHTW37Z7BR4WL3NDCZYIIXDA6 \
  | 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: 9b0f3b6ff9f863cb2f6d18b38422e3079da75573f9e5bfc8660d9d949974fe5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcc868f25de862f2af4660724527423f1daed102d6ea74d38ff37f9c0d6edb96",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-02-15T17:35:55Z",
    "title_canon_sha256": "a2cea733e36b8a623d3b4d62b586a38ba374c8145673ab14c2196f4eebaa4086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502323",
    "kind": "arxiv",
    "version": 1
  }
}