Pith Number

pith:2RAXAIOX

pith:2016:2RAXAIOX3XHBMXHQJ3R5MWSXSP

not attested not anchored not stored refs pending

The Kontsevich matrix integral: convergence to the Painlev\'e hierarchy and Stokes' phenomenon

Marco Bertola, Mattia Cafasso

arxiv:1603.06420 v2 · 2016-03-21 · 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{2RAXAIOX3XHBMXHQJ3R5MWSXSP}

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	2026-05-18T00:47:50.945682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4417021d7ddce165cf04ee3d65a5793e76e1a70960b2d709223824e1fe52804

Aliases

arxiv: 1603.06420 · arxiv_version: 1603.06420v2 · doi: 10.48550/arxiv.1603.06420 · pith_short_12: 2RAXAIOX3XHB · pith_short_16: 2RAXAIOX3XHBMXHQ · pith_short_8: 2RAXAIOX

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/2RAXAIOX3XHBMXHQJ3R5MWSXSP \
  | 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: d4417021d7ddce165cf04ee3d65a5793e76e1a70960b2d709223824e1fe52804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef59dec01cd80d8deb896f05ca7bad6f518682416d5b4f083dd2d50544f34bf",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-21T13:11:17Z",
    "title_canon_sha256": "7aa43db530e717399f799e07b4f471e1288af175b48f5f79be9603288d9c7156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06420",
    "kind": "arxiv",
    "version": 2
  }
}