Pith Number

pith:DJ4V4BOV

pith:2015:DJ4V4BOVOOSIZU2AOCKP32RNEL

not attested not anchored not stored refs pending

Linear spectral transformations for multivariate orthogonal polynomials and multispectral Toda hierarchies

Gerardo Ariznabarreta, Manuel Ma\~nas

arxiv:1511.09129 v5 · 2015-11-30 · math.CA · math-ph · math.MP · math.RT · 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{DJ4V4BOVOOSIZU2AOCKP32RNEL}

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	2026-05-18T01:18:39.631494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a795e05d573a48cd3407094fdea2d22f5e7d475e03c7b6a8a32527755c60742

Aliases

arxiv: 1511.09129 · arxiv_version: 1511.09129v5 · doi: 10.48550/arxiv.1511.09129 · pith_short_12: DJ4V4BOVOOSI · pith_short_16: DJ4V4BOVOOSIZU2A · pith_short_8: DJ4V4BOV

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/DJ4V4BOVOOSIZU2AOCKP32RNEL \
  | 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: 1a795e05d573a48cd3407094fdea2d22f5e7d475e03c7b6a8a32527755c60742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cf3a877da92696807ba280e5910201ac39b83038d1334d31ea14217776df5f4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-30T01:54:00Z",
    "title_canon_sha256": "7644230bc8f9f9af8b06cc7f368714f2222fde6fab470a58b4b7484f523fa276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09129",
    "kind": "arxiv",
    "version": 5
  }
}