Pith Number

pith:VWYF2FRY

pith:2024:VWYF2FRYIEKZ4G6UPIHUKRLS6E

not attested not anchored not stored refs pending

Matrix valued orthogonal polynomials arising from hexagon tilings with 3x3-periodic weightings

Arno B.J. Kuijlaars

arxiv:2412.03115 v1 · 2024-12-04 · math.CA · 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{VWYF2FRYIEKZ4G6UPIHUKRLS6E}

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	2026-07-05T09:44:25.150254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb05d163841159e1bd47a0f454572f11f5f31d365f4356f6c81fb5c0d77c01c

Aliases

arxiv: 2412.03115 · arxiv_version: 2412.03115v1 · doi: 10.48550/arxiv.2412.03115 · pith_short_12: VWYF2FRYIEKZ · pith_short_16: VWYF2FRYIEKZ4G6U · pith_short_8: VWYF2FRY

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/VWYF2FRYIEKZ4G6UPIHUKRLS6E \
  | 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: adb05d163841159e1bd47a0f454572f11f5f31d365f4356f6c81fb5c0d77c01c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40c08fee554a1c3c41438ab469b835b2bfcfeb3254c12e024ee162d9fe78bf8c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-12-04T08:35:13Z",
    "title_canon_sha256": "bc1bd80f834203549e3d634e79b6576c2a3cd29b6f6da932d577dad137ab539c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03115",
    "kind": "arxiv",
    "version": 1
  }
}