Pith Number

pith:EHGWKK6U

pith:2018:EHGWKK6USU32GTHW42FZXRCAJ4

not attested not anchored not stored refs pending

The Toda and Painlev\'e Systems Associated with Semiclassical Matrix-Valued Orthogonal Polynomials of Laguerre Type

Manuel D. de la Iglesia, Mattia Cafasso

arxiv:1801.08740 v2 · 2018-01-26 · math-ph · math.CA · 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{EHGWKK6USU32GTHW42FZXRCAJ4}

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	2026-05-18T00:10:10.813430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21cd652bd49537a34cf6e68b9bc4404f30631c2540b5dab82714afddf910411b

Aliases

arxiv: 1801.08740 · arxiv_version: 1801.08740v2 · doi: 10.48550/arxiv.1801.08740 · pith_short_12: EHGWKK6USU32 · pith_short_16: EHGWKK6USU32GTHW · pith_short_8: EHGWKK6U

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/EHGWKK6USU32GTHW42FZXRCAJ4 \
  | 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: 21cd652bd49537a34cf6e68b9bc4404f30631c2540b5dab82714afddf910411b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f152a25bbd2e3deab75abd9dbeeb3b33832b77ff780ec8f28664b2ae40aa7d",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-01-26T10:14:37Z",
    "title_canon_sha256": "696baf79e70f8d12b4949222bb1620e85190fcbc2dc6b1f3dbdfe7f5ff864216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08740",
    "kind": "arxiv",
    "version": 2
  }
}