Pith Number

pith:IO54TQEL

pith:2005:IO54TQEL66Z35NMZAJJTB4JGLA

not attested not anchored not stored refs pending

Power expansions for solution of the fourth-order analog to the first Painlev\'{e} equation

Nikolai A. Kudryashov, Olga Yu. Efimova

arxiv:nlin/0507026 v1 · 2005-07-14 · 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{IO54TQEL66Z35NMZAJJTB4JGLA}

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.

Receipt and verification

First computed	2026-05-18T01:38:18.601263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43bbc9c08bf7b3beb599025330f1265825d8198ddf1209d0385b3d416e19b8ea

Aliases

arxiv: nlin/0507026 · arxiv_version: nlin/0507026v1 · doi: 10.48550/arxiv.nlin/0507026 · pith_short_12: IO54TQEL66Z3 · pith_short_16: IO54TQEL66Z35NMZ · pith_short_8: IO54TQEL

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/IO54TQEL66Z35NMZAJJTB4JGLA \
  | 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: 43bbc9c08bf7b3beb599025330f1265825d8198ddf1209d0385b3d416e19b8ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f33dd638dc6f5fa02cd821999626594905d13b9a4fe2ff7b617c0ef468dd4b45",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2005-07-14T11:56:18Z",
    "title_canon_sha256": "ecff7bda835648360fe7c81d6218250ff5f77b8a8d97c591e673e1615217243b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0507026",
    "kind": "arxiv",
    "version": 1
  }
}