Pith Number

pith:RVDMXUP3

pith:2013:RVDMXUP3ICM7ARCNGY3WDQ3WCI

not attested not anchored not stored refs pending

Ramanujan's cubic transformation and generalized modular equation

Miaokun Wang, Yueping Jiang, Yuming Chu

arxiv:1305.6525 v1 · 2013-05-28 · math.CA · 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{RVDMXUP3ICM7ARCNGY3WDQ3WCI}

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	2026-05-18T03:24:40.533712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d46cbd1fb4099f0444d363761c376121e727daec0071d2bbc69ac046662c334

Aliases

arxiv: 1305.6525 · arxiv_version: 1305.6525v1 · doi: 10.48550/arxiv.1305.6525 · pith_short_12: RVDMXUP3ICM7 · pith_short_16: RVDMXUP3ICM7ARCN · pith_short_8: RVDMXUP3

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/RVDMXUP3ICM7ARCNGY3WDQ3WCI \
  | 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: 8d46cbd1fb4099f0444d363761c376121e727daec0071d2bbc69ac046662c334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cc0b103203836c75cfeb85ebfdac0ed6fc23c72bf3e9ddbf13c8fb2ed3bc747",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-28T15:13:34Z",
    "title_canon_sha256": "2780d36f3d5d390200f88b510405963f69f2c84b64a01c7bde3ca23ab32b347f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6525",
    "kind": "arxiv",
    "version": 1
  }
}