Pith Number

pith:SOF7CSXF

pith:2017:SOF7CSXFJYXYS2BMJKLO7YVQ2W

not attested not anchored not stored refs pending

The generating function for the Airy point process and a system of coupled Painlev\'e II equations

Antoine Doeraene, Tom Claeys

arxiv:1708.03481 v2 · 2017-08-11 · math-ph · math.CA · math.CV · 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{SOF7CSXFJYXYS2BMJKLO7YVQ2W}

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	2026-05-18T00:36:02.718978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938bf14ae54e2f89682c4a96efe2b0d59a0c10fc4d46f33f964b3b7f120ab9a2

Aliases

arxiv: 1708.03481 · arxiv_version: 1708.03481v2 · doi: 10.48550/arxiv.1708.03481 · pith_short_12: SOF7CSXFJYXY · pith_short_16: SOF7CSXFJYXYS2BM · pith_short_8: SOF7CSXF

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/SOF7CSXFJYXYS2BMJKLO7YVQ2W \
  | 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: 938bf14ae54e2f89682c4a96efe2b0d59a0c10fc4d46f33f964b3b7f120ab9a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba40c7d81d8161c682262e237459d52f9eb304f17be4b59f48d828fba52f2c8",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-08-11T09:24:59Z",
    "title_canon_sha256": "0768cfc79d0be51beb5cf6b64ab4f7e023f855fa6fa2ee75856c8030c9ff76c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03481",
    "kind": "arxiv",
    "version": 2
  }
}