Pith Number

pith:5KW5LGJ6

pith:2011:5KW5LGJ6QOYDSZKIQTUN5PK5GF

not attested not anchored not stored refs pending

CMV matrices and little and big -1 Jacobi polynomials

Alexei Zhedanov, Luc Vinet, Maxim Derevyagin

arxiv:1108.3535 v2 · 2011-08-17 · 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{5KW5LGJ6QOYDSZKIQTUN5PK5GF}

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	2026-05-18T04:14:56.346101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaadd5993e83b039654884e8debd5d315af722225d5f51df761b15976c51e45a

Aliases

arxiv: 1108.3535 · arxiv_version: 1108.3535v2 · doi: 10.48550/arxiv.1108.3535 · pith_short_12: 5KW5LGJ6QOYD · pith_short_16: 5KW5LGJ6QOYDSZKI · pith_short_8: 5KW5LGJ6

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/5KW5LGJ6QOYDSZKIQTUN5PK5GF \
  | 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: eaadd5993e83b039654884e8debd5d315af722225d5f51df761b15976c51e45a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b689f4c60a53c27f72bf38dbfb235b94c4e5c898f8ee93482974aeeae681eeed",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-08-17T17:42:40Z",
    "title_canon_sha256": "c724ba5c18d0c73a84261a053bf8d3e9b5193db60c89288d76a9862ace634820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3535",
    "kind": "arxiv",
    "version": 2
  }
}