Pith Number

pith:CMR5GDY4

pith:2025:CMR5GDY43W5POLCNBC256V6HKT

not attested not anchored not stored refs pending

Zeros of linear combinations of orthogonal polynomials

Antonio J. Dur\'an

arxiv:2505.11956 v1 · 2025-05-17 · 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{CMR5GDY43W5POLCNBC256V6HKT}

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

Quasi-Orthogonal Polynomials and Exceptional Sequences

Receipt and verification

First computed	2026-07-05T11:04:55.368960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1323d30f1cddbaf72c4d08b5df57c754cf214f014d3973d2c0b8b523a3302e99

Aliases

arxiv: 2505.11956 · arxiv_version: 2505.11956v1 · doi: 10.48550/arxiv.2505.11956 · pith_short_12: CMR5GDY43W5P · pith_short_16: CMR5GDY43W5POLCN · pith_short_8: CMR5GDY4

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/CMR5GDY43W5POLCNBC256V6HKT \
  | 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: 1323d30f1cddbaf72c4d08b5df57c754cf214f014d3973d2c0b8b523a3302e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18817da0ee87799013fe5fe46961e2b2006f2191acf988bf047f2d5a04bae575",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-05-17T11:07:07Z",
    "title_canon_sha256": "df7596bb7d8ed8f0576c470e72b8c0d12f0707cb9797b8aa4c0d8b2d7784a5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.11956",
    "kind": "arxiv",
    "version": 1
  }
}