Pith Number

pith:MXERB5SJ

pith:2025:MXERB5SJEMXD3OCOM6MGNS7QF3

not attested not anchored not stored refs pending

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

Kohei Iwaki

arxiv:2512.17599 v2 · 2025-12-19 · math-ph · hep-th · 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{MXERB5SJEMXD3OCOM6MGNS7QF3}

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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

2 papers in Pith

Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics

Accessory Parameter of Confluent Heun Equations, Voros Periods and classical irregular conformal blocks

Receipt and verification

First computed	2026-05-22T01:03:52.663253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c910f649232e3db84e679866cbf02ef75e8615b0b1c2689cf0ebcb6a1b90f9

Aliases

arxiv: 2512.17599 · arxiv_version: 2512.17599v2 · doi: 10.48550/arxiv.2512.17599 · pith_short_12: MXERB5SJEMXD · pith_short_16: MXERB5SJEMXD3OCO · pith_short_8: MXERB5SJ

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/MXERB5SJEMXD3OCOM6MGNS7QF3 \
  | 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: 65c910f649232e3db84e679866cbf02ef75e8615b0b1c2689cf0ebcb6a1b90f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dd42ebaa61a4b6d23adc859bd9904500177837b1614fcafe5a6608068b8f6b6",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-12-19T14:06:57Z",
    "title_canon_sha256": "cbc54f2387a9aca8f8aad6cbf10495128f7d72201155d509245ded809cff7062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.17599",
    "kind": "arxiv",
    "version": 2
  }
}