Pith Number

pith:ZLKKNIKT

pith:2015:ZLKKNIKTC43OEX3LLJSBXUCJTR

not attested not anchored not stored refs pending

Quantum Curve and the First Painlev\'e Equation

Axel Saenz, Kohei Iwaki

arxiv:1507.06557 v3 · 2015-07-23 · math-ph · math.AP · math.CA · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLKKNIKTC43OEX3LLJSBXUCJTR}

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.

Cited by

1 paper in Pith

Les Houches Lectures on Exact WKB Analysis and Painlev\'e Equations

Receipt and verification

First computed	2026-05-18T01:21:41.748977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad4a6a1531736e25f6b5a641bd0499c57559cdb43e4cbf696c8039620f0e8ba

Aliases

arxiv: 1507.06557 · arxiv_version: 1507.06557v3 · doi: 10.48550/arxiv.1507.06557 · pith_short_12: ZLKKNIKTC43O · pith_short_16: ZLKKNIKTC43OEX3L · pith_short_8: ZLKKNIKT

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/ZLKKNIKTC43OEX3LLJSBXUCJTR \
  | 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: cad4a6a1531736e25f6b5a641bd0499c57559cdb43e4cbf696c8039620f0e8ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "381019a2e236ec5b5fce640ead86fb0998e6638595bf22b8243be56bdf81a2bd",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-23T16:44:40Z",
    "title_canon_sha256": "25533cad742288e3df5f4e85ccb9504c1e7ca849598adb89ef574058218c1473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06557",
    "kind": "arxiv",
    "version": 3
  }
}