Pith Number

pith:JSDDOTLJ

pith:2006:JSDDOTLJ2GP43DIJ3Q263RJMVK

not attested not anchored not stored refs pending

The existence of a real pole-free solution of the fourth order analogue of the Painleve I equation

M. Vanlessen, T. Claeys

arxiv:math-ph/0604046 v1 · 2006-04-20 · math-ph · math.CA · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSDDOTLJ2GP43DIJ3Q263RJMVK}

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	2026-05-18T01:38:32.900915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c86374d69d19fcd8d09dc35edc52caa96f687205fa34f708d64303d83b09f9a

Aliases

arxiv: math-ph/0604046 · arxiv_version: math-ph/0604046v1 · doi: 10.48550/arxiv.math-ph/0604046 · pith_short_12: JSDDOTLJ2GP4 · pith_short_16: JSDDOTLJ2GP43DIJ · pith_short_8: JSDDOTLJ

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/JSDDOTLJ2GP43DIJ3Q263RJMVK \
  | 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: 4c86374d69d19fcd8d09dc35edc52caa96f687205fa34f708d64303d83b09f9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aecbfa32563406578b378f4bf0b5f4255afe10a89a957559e3b6ac96587bf139",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-04-20T13:29:54Z",
    "title_canon_sha256": "680bbdfdb374a65160436b4e3a66adca50c5921ce6b09d985e53088fba55f9e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0604046",
    "kind": "arxiv",
    "version": 1
  }
}