Pith Number

pith:WAL3IET5

pith:2018:WAL3IET5URJKKAXQP2U6WIMPAZ

not attested not anchored not stored refs pending

A representation of joint moments of CUE characteristic polynomials in terms of Painleve functions

Alexander Its, Elizabeth Its, Estelle Basor, Jonathan P. Keating, Pavel Bleher, Robert Buckingham, Tamara Grava

arxiv:1811.00064 v2 · 2018-10-31 · math-ph · math.MP · math.PR · 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{WAL3IET5URJKKAXQP2U6WIMPAZ}

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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.

Cited by

1 paper in Pith

Emptiness formation probability and Painlev\'e V equation in the XY spin chain

Receipt and verification

First computed	2026-07-05T00:30:53.528526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b017b4127da452a502f07ea9eb218f06652da7b87ee0706f2a5a979c5731766a

Aliases

arxiv: 1811.00064 · arxiv_version: 1811.00064v2 · doi: 10.48550/arxiv.1811.00064 · pith_short_12: WAL3IET5URJK · pith_short_16: WAL3IET5URJKKAXQ · pith_short_8: WAL3IET5

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/WAL3IET5URJKKAXQP2U6WIMPAZ \
  | 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: b017b4127da452a502f07ea9eb218f06652da7b87ee0706f2a5a979c5731766a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd1cc4d58610c93246407ec73c5b938d7eb128c2bf0d0b705b12b788b4236772",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-10-31T18:57:46Z",
    "title_canon_sha256": "49733641e9de18e3aa012f9451c9740bfaee462fb8dc31365bb4dc8ccd6de323"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00064",
    "kind": "arxiv",
    "version": 2
  }
}