Pith Number

pith:7CBULF52

pith:2021:7CBULF52QOA55CYYE3CNSGWTYS

not attested not anchored not stored refs pending

On matrix Painlev\'e-4 equations. Part 1: Painlev\'e--Kovalevskaya test

Irina Bobrova, Vladimir Sokolov

arxiv:2107.11680 v2 · 2021-07-24 · math.CA · math-ph · 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{7CBULF52QOA55CYYE3CNSGWTYS}

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	2026-07-05T05:22:04.117653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8834597ba8381de8b1826c4d91ad3c4b4dbac1d995e42ece89f4a6a3a218230

Aliases

arxiv: 2107.11680 · arxiv_version: 2107.11680v2 · doi: 10.48550/arxiv.2107.11680 · pith_short_12: 7CBULF52QOA5 · pith_short_16: 7CBULF52QOA55CYY · pith_short_8: 7CBULF52

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/7CBULF52QOA55CYYE3CNSGWTYS \
  | 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: f8834597ba8381de8b1826c4d91ad3c4b4dbac1d995e42ece89f4a6a3a218230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e4e9221c2204f4ec2e43069fa12e13df40342b4cd26ccfb3402b7c21fd6307b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-07-24T20:22:29Z",
    "title_canon_sha256": "e6ec3e89a4365f030b2570711a56b95a01a4b1cdb753024fa7c9bca77257fc9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11680",
    "kind": "arxiv",
    "version": 2
  }
}