Pith Number

pith:OPHLLV64

pith:2008:OPHLLV64ZD2UUKDM3I4JP4PTYG

not attested not anchored not stored refs pending

Algebraic solutions of the sixth Painleve equation

Oleg Lisovyy, Yuriy Tykhyy

arxiv:0809.4873 v2 · 2008-09-28 · math.CA · hep-th · math-ph · math.MP · 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{OPHLLV64ZD2UUKDM3I4JP4PTYG}

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	2026-07-04T15:15:01.322892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ceb5d7dcc8f54a286cda3897f1f3c1af8fa47209ad2766bd92b3a25a597488

Aliases

arxiv: 0809.4873 · arxiv_version: 0809.4873v2 · doi: 10.48550/arxiv.0809.4873 · pith_short_12: OPHLLV64ZD2U · pith_short_16: OPHLLV64ZD2UUKDM · pith_short_8: OPHLLV64

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/OPHLLV64ZD2UUKDM3I4JP4PTYG \
  | 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: 73ceb5d7dcc8f54a286cda3897f1f3c1af8fa47209ad2766bd92b3a25a597488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64392076f1ff899b3dc49315c9a5c47f61741771c84a7a644d43473da5a24e27",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-09-28T22:26:35Z",
    "title_canon_sha256": "a5ae425a441e703b0e755141a25f4c2828a57ab41c02be69961d619ce17981af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4873",
    "kind": "arxiv",
    "version": 2
  }
}