Pith Number

pith:3CVR6MNA

pith:2011:3CVR6MNAAZGOLRZ2YYUHB4CCBB

not attested not anchored not stored refs pending

A connection formula between the Ramanujan function and the $q$-Airy function

Takeshi Morita

arxiv:1104.0755 v2 · 2011-04-05 · 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{3CVR6MNAAZGOLRZ2YYUHB4CCBB}

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	2026-05-18T04:19:02.016158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ab1f31a0064ce5c73ac62870f0420842edf70093cde2aa01e5b77c0fb253fe

Aliases

arxiv: 1104.0755 · arxiv_version: 1104.0755v2 · doi: 10.48550/arxiv.1104.0755 · pith_short_12: 3CVR6MNAAZGO · pith_short_16: 3CVR6MNAAZGOLRZ2 · pith_short_8: 3CVR6MNA

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/3CVR6MNAAZGOLRZ2YYUHB4CCBB \
  | 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: d8ab1f31a0064ce5c73ac62870f0420842edf70093cde2aa01e5b77c0fb253fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fcd2911323772ad47e2b8d339a93f58a9e0788f553a6ca737f9072a7043c23f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-04-05T07:50:37Z",
    "title_canon_sha256": "db616fb8b21e4d9fb69adfcb710c8f6ba468c11058d8dfd4093059778e1cd8f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0755",
    "kind": "arxiv",
    "version": 2
  }
}