Pith Number

pith:JFTSHOZZ

pith:1999:JFTSHOZZT4NFNO3TUDVUBRHXY7

not attested not anchored not stored refs pending

Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model

Alexander Its, Pavel Bleher

arxiv:math-ph/9907025 v1 · 1999-07-01 · 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{JFTSHOZZT4NFNO3TUDVUBRHXY7}

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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.

Receipt and verification

First computed	2026-05-18T01:05:29.886582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

496723bb399f1a56bb73a0eb40c4f7c7c2543ea6d7a6a8cba18c2f917281ef57

Aliases

arxiv: math-ph/9907025 · arxiv_version: math-ph/9907025v1 · doi: 10.48550/arxiv.math-ph/9907025 · pith_short_12: JFTSHOZZT4NF · pith_short_16: JFTSHOZZT4NFNO3T · pith_short_8: JFTSHOZZ

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/JFTSHOZZT4NFNO3TUDVUBRHXY7 \
  | 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: 496723bb399f1a56bb73a0eb40c4f7c7c2543ea6d7a6a8cba18c2f917281ef57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eda92582aef74fe14057f41e1fc83cc5a59e8eddab2a3e3969a24bcecae21d1e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-07-01T00:00:00Z",
    "title_canon_sha256": "7b8a0006fd1c822cbd4d59b8fe6fbe700e2db744554f37aa0003d00ce6060b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9907025",
    "kind": "arxiv",
    "version": 1
  }
}