Pith Number

pith:XDBD2BZF

pith:2011:XDBD2BZFKU4LAP3Z7LHXTGJZHB

not attested not anchored not stored refs pending

Hypergeometric solutions to Schr\"odinger equations for the quantum Painlev\'e equations

Hajime Nagoya

arxiv:1109.1645 v1 · 2011-09-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDBD2BZFKU4LAP3Z7LHXTGJZHB}

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	2026-05-18T04:13:54.713491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c23d07255538b03f79facf7999393854c4215692765ae5382de4e749519473

Aliases

arxiv: 1109.1645 · arxiv_version: 1109.1645v1 · doi: 10.48550/arxiv.1109.1645 · pith_short_12: XDBD2BZFKU4L · pith_short_16: XDBD2BZFKU4LAP3Z · pith_short_8: XDBD2BZF

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/XDBD2BZFKU4LAP3Z7LHXTGJZHB \
  | 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: b8c23d07255538b03f79facf7999393854c4215692765ae5382de4e749519473

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e0ea442441637208d00a427b1dd7ce2676198a94e039a46dbd871d00e69384",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-08T07:42:48Z",
    "title_canon_sha256": "0d46b4d823ecb8eb020a6dc3b137547373cbb8429f59cb7efe6cbb1776752418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1645",
    "kind": "arxiv",
    "version": 1
  }
}