Pith Number

pith:5QXULAVL

pith:2014:5QXULAVLHCTSOMDTNE5SNTBCVO

not attested not anchored not stored refs pending

The Stokes phenomenon for the Ramanujan's $q$-difference equation and its higher order extension

Takeshi Morita

arxiv:1404.2541 v1 · 2014-04-09 · 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{5QXULAVLHCTSOMDTNE5SNTBCVO}

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	2026-05-18T02:54:31.269881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec2f4582ab38a7273073693b26cc22ab89032cbbbb61da54d0f9da12c45d6b43

Aliases

arxiv: 1404.2541 · arxiv_version: 1404.2541v1 · doi: 10.48550/arxiv.1404.2541 · pith_short_12: 5QXULAVLHCTS · pith_short_16: 5QXULAVLHCTSOMDT · pith_short_8: 5QXULAVL

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/5QXULAVLHCTSOMDTNE5SNTBCVO \
  | 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: ec2f4582ab38a7273073693b26cc22ab89032cbbbb61da54d0f9da12c45d6b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a05e250656b4fae6c3c869fc8f465aaec29e1eb92da65725df93d4265c7d55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-04-09T16:54:20Z",
    "title_canon_sha256": "19b4f4b76805246e4f9202e97c179b17e18a7c0ac469c2af7ed8452c6d208f14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2541",
    "kind": "arxiv",
    "version": 1
  }
}