Pith Number

pith:NB2Z6WJZ

pith:2016:NB2Z6WJZHXKNS7OMYVWV2IFG2B

not attested not anchored not stored refs pending

CMV biorthogonal Laurent polynomials: Christoffel formulas for Christoffel and Geronimus perturbations

Alfredo Toledano, Gerardo Ariznabarreta, Manuel Ma\~nas

arxiv:1610.02008 v5 · 2016-10-06 · math.CA · math-ph · math.MP · 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{NB2Z6WJZHXKNS7OMYVWV2IFG2B}

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	2026-05-18T00:59:34.198804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68759f59393dd4d97dccc56d5d20a6d07204c53977ae32152c7a5d26b349826f

Aliases

arxiv: 1610.02008 · arxiv_version: 1610.02008v5 · doi: 10.48550/arxiv.1610.02008 · pith_short_12: NB2Z6WJZHXKN · pith_short_16: NB2Z6WJZHXKNS7OM · pith_short_8: NB2Z6WJZ

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/NB2Z6WJZHXKNS7OMYVWV2IFG2B \
  | 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: 68759f59393dd4d97dccc56d5d20a6d07204c53977ae32152c7a5d26b349826f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee16d3464fffe623a9944fabdf051fdaba558a45874224ca2f98883a3fd32f82",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-06T19:31:36Z",
    "title_canon_sha256": "937b1caa67968a27a5e91f79e0f0cf0371a527df0906d645deeddc1784b6bf3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02008",
    "kind": "arxiv",
    "version": 5
  }
}