Pith Number

pith:S7BB6CLS

pith:2016:S7BB6CLSO6V4UVYS4KDXTH6MNM

not attested not anchored not stored refs pending

Two Lax systems for the Painlev\'e II equation, and two related kernels in random matrix theory

Dong Wang, Karl Liechty

arxiv:1601.01603 v2 · 2016-01-07 · nlin.SI · math-ph · math.CA · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7BB6CLSO6V4UVYS4KDXTH6MNM}

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	2026-05-18T01:08:28.898136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c21f097277abca5712e287799fcc6b1455b788a58ab6a43dab9e25fd334e37

Aliases

arxiv: 1601.01603 · arxiv_version: 1601.01603v2 · doi: 10.48550/arxiv.1601.01603 · pith_short_12: S7BB6CLSO6V4 · pith_short_16: S7BB6CLSO6V4UVYS · pith_short_8: S7BB6CLS

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/S7BB6CLSO6V4UVYS4KDXTH6MNM \
  | 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: 97c21f097277abca5712e287799fcc6b1455b788a58ab6a43dab9e25fd334e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95a42fb5c7ca95d52a8d15f37870e366668cb6095586f007e36e075e6f1d1970",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2016-01-07T17:10:04Z",
    "title_canon_sha256": "4d744b2983f99ecbd077b6fbbc461cca0e925e72c4e2c4ea8b20d948f40f424e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01603",
    "kind": "arxiv",
    "version": 2
  }
}