Pith Number

pith:ZNNPV7DS

pith:2010:ZNNPV7DSBABTPBZZ3OJDM7BRNA

not attested not anchored not stored refs pending

Asymptotics of the instantons of Painleve I

Alexander Its, Andrei Kapaev, Marcos Marino, Stavros Garoufalidis

arxiv:1002.3634 v3 · 2010-02-19 · math.CA · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNNPV7DSBABTPBZZ3OJDM7BRNA}

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	2026-05-18T03:05:35.996698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb5afafc720803378739db92367c31682158b1e1c4291955d4bad03c4a067811

Aliases

arxiv: 1002.3634 · arxiv_version: 1002.3634v3 · doi: 10.48550/arxiv.1002.3634 · pith_short_12: ZNNPV7DSBABT · pith_short_16: ZNNPV7DSBABTPBZZ · pith_short_8: ZNNPV7DS

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/ZNNPV7DSBABTPBZZ3OJDM7BRNA \
  | 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: cb5afafc720803378739db92367c31682158b1e1c4291955d4bad03c4a067811

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0800e643d2c572f0afd01169cd7304e244d9752f773fb70dddb3cdcd0f17c77e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-02-19T15:57:21Z",
    "title_canon_sha256": "da018513446779bc1ff99b3e50eacb7ca5a4d8748d21e64a973a8f982ee83597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3634",
    "kind": "arxiv",
    "version": 3
  }
}