Pith Number

pith:VLUNBPQ5

pith:2008:VLUNBPQ5EHGW4WXQGDLM45G3NU

not attested not anchored not stored refs pending

The Laguerre polynomials preserve real-rootedness

Steve Fisk

arxiv:0808.2635 v1 · 2008-08-19 · math.HO · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VLUNBPQ5EHGW4WXQGDLM45G3NU}

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.

Cited by

1 paper in Pith

Zeros of linear combinations of Laguerre polynomials

Receipt and verification

First computed	2026-07-04T15:13:42.488086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae8d0be1d21cd6e5af030d6ce74db6d2f6849c680901eb57f41527dab898307

Aliases

arxiv: 0808.2635 · arxiv_version: 0808.2635v1 · doi: 10.48550/arxiv.0808.2635 · pith_short_12: VLUNBPQ5EHGW · pith_short_16: VLUNBPQ5EHGW4WXQ · pith_short_8: VLUNBPQ5

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/VLUNBPQ5EHGW4WXQGDLM45G3NU \
  | 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: aae8d0be1d21cd6e5af030d6ce74db6d2f6849c680901eb57f41527dab898307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b2593e2eee62788ac2da7cc4411f9d32ffb7000f20a8d3bbd985a39baa6fa3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2008-08-19T19:21:21Z",
    "title_canon_sha256": "439cb1d08ee0027bee4d84f4c3091a3debd1342e1ee05a0c1d02fe86a509a925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2635",
    "kind": "arxiv",
    "version": 1
  }
}