Pith Number

pith:QDXLWJNU

pith:2012:QDXLWJNUXWZ7RX2YPVQOD4XFCQ

not attested not anchored not stored refs pending

On local solutions of the Ramanujan equation and their connection formulae

Takeshi Morita

arxiv:1203.3404 v1 · 2012-03-15 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDXLWJNUXWZ7RX2YPVQOD4XFCQ}

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	2026-05-18T04:00:01.720838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80eebb25b4bdb3f8df587d60e1f2e514316dc1d8d1100703f7d591fe1ba77ba3

Aliases

arxiv: 1203.3404 · arxiv_version: 1203.3404v1 · doi: 10.48550/arxiv.1203.3404 · pith_short_12: QDXLWJNUXWZ7 · pith_short_16: QDXLWJNUXWZ7RX2Y · pith_short_8: QDXLWJNU

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/QDXLWJNUXWZ7RX2YPVQOD4XFCQ \
  | 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: 80eebb25b4bdb3f8df587d60e1f2e514316dc1d8d1100703f7d591fe1ba77ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "652fe96c68c634164c4a2416cd4b99c89b8761bdc257dd8f2fd95033174cf7d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-03-15T16:02:50Z",
    "title_canon_sha256": "cb8ca086d76392ed55c9d91ac6b4805dd131e25469b64defaaea920af7e2b29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3404",
    "kind": "arxiv",
    "version": 1
  }
}