Pith Number

pith:DFSZY7TC

pith:2019:DFSZY7TCUK4IVRYYLUEC5CZPPP

not attested not anchored not stored refs pending

2-parameter $\tau$-function for the first Painlev\'e equation -Topological recursion and direct monodromy problem via exact WKB analysis-

Kohei Iwaki

arxiv:1902.06439 v4 · 2019-02-18 · math-ph · math.AP · math.CA · math.MP · nlin.SI

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\usepackage{pith}
\pithnumber{DFSZY7TCUK4IVRYYLUEC5CZPPP}

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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

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	2026-07-05T01:12:17.363374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19659c7e62a2b88ac7185d082e8b2f7be75232ef4c057b2df5a46cdf1839f6d6

Aliases

arxiv: 1902.06439 · arxiv_version: 1902.06439v4 · doi: 10.48550/arxiv.1902.06439 · pith_short_12: DFSZY7TCUK4I · pith_short_16: DFSZY7TCUK4IVRYY · pith_short_8: DFSZY7TC

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/DFSZY7TCUK4IVRYYLUEC5CZPPP \
  | 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: 19659c7e62a2b88ac7185d082e8b2f7be75232ef4c057b2df5a46cdf1839f6d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f383f351ce0acc2ddaca4305b31fb0ff839a6b38bf019b83247237b4f948b21",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-02-18T07:58:12Z",
    "title_canon_sha256": "9564af5a657fd8a916c27db19b263da96d73a1e5c72819c7d0ae67fd0f327f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06439",
    "kind": "arxiv",
    "version": 4
  }
}