Pith Number

pith:SHGYCK6P

pith:2025:SHGYCK6PG5HWEYIH6LAIVMGTDY

not attested not anchored not stored refs pending

Many-faced Painlev\'e I: irregular conformal blocks, topological recursion, and holomorphic anomaly approaches

Kohei Iwaki, Nikolai Iorgov, Oleg Lisovyy, Yurii Zhuravlov

arxiv:2505.16803 v1 · 2025-05-22 · math-ph · hep-th · math.CA · math.MP · math.RT · 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{SHGYCK6PG5HWEYIH6LAIVMGTDY}

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

4 papers in Pith

Existence and Uniqueness of Irregular Vectors of Integer and Half-Integer Ranks for the Virasoro Algebra

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

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

Receipt and verification

First computed	2026-07-05T11:23:28.405515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91cd812bcf374f626107f2c08ab0d31e3e2e34cf0365ac5c7566cc01c47a1f2b

Aliases

arxiv: 2505.16803 · arxiv_version: 2505.16803v1 · doi: 10.48550/arxiv.2505.16803 · pith_short_12: SHGYCK6PG5HW · pith_short_16: SHGYCK6PG5HWEYIH · pith_short_8: SHGYCK6P

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/SHGYCK6PG5HWEYIH6LAIVMGTDY \
  | 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: 91cd812bcf374f626107f2c08ab0d31e3e2e34cf0365ac5c7566cc01c47a1f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504aa1a09a66dfa592a2771be051cec69e4146ba0014548c2a9c30e455a9985f",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "math.RT",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-05-22T15:43:58Z",
    "title_canon_sha256": "68fc47049cc22aaec3f7e30c492edb66a69485e43d30d5dbab4a869f51a2e906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.16803",
    "kind": "arxiv",
    "version": 1
  }
}