Pith Number

pith:NQZJ22DK

pith:2016:NQZJ22DKXW6FRN4XNE3G7ZNTRC

not attested not anchored not stored refs pending

CMV biorthogonal Laurent polynomials. II: Christoffel formulas for Geronimus-Uvarov perturbations

Alfredo Toledano, Gerardo Ariznabarreta, Manuel Ma\~nas

arxiv:1611.03547 v1 · 2016-11-11 · math.CA · math-ph · math.CV · 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{NQZJ22DKXW6FRN4XNE3G7ZNTRC}

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	2026-05-18T00:59:33.914305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c329d686abdbc58b79769366fe5b388995914f7274e6f7e9c2ce8e979023a39

Aliases

arxiv: 1611.03547 · arxiv_version: 1611.03547v1 · doi: 10.48550/arxiv.1611.03547 · pith_short_12: NQZJ22DKXW6F · pith_short_16: NQZJ22DKXW6FRN4X · pith_short_8: NQZJ22DK

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/NQZJ22DKXW6FRN4XNE3G7ZNTRC \
  | 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: 6c329d686abdbc58b79769366fe5b388995914f7274e6f7e9c2ce8e979023a39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c016d8a64175b11cc2829a73f444ecf5af6865100399270488220c18426e6e2",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-11-11T00:09:08Z",
    "title_canon_sha256": "8c8c257cfcb1fc804da579bd7aef52a5ccdbb8a1d72ee1ad6ebf4f002e0caf58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03547",
    "kind": "arxiv",
    "version": 1
  }
}