Pith Number

pith:72YNUIUF

pith:2019:72YNUIUF6LE3YWIW2CN73ZU4A6

not attested not anchored not stored refs pending

Geronimus transformations for sequences of $d$-orthogonal polynomials

D. Barrios Rolan\'ia, J.C. Garc\'ia-Ardila

arxiv:1905.08746 v1 · 2019-05-21 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72YNUIUF6LE3YWIW2CN73ZU4A6}

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	2026-05-17T23:45:42.184427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feb0da2285f2c9bc5916d09bfde69c0785b5bf0797f209daf5fce71408f56537

Aliases

arxiv: 1905.08746 · arxiv_version: 1905.08746v1 · doi: 10.48550/arxiv.1905.08746 · pith_short_12: 72YNUIUF6LE3 · pith_short_16: 72YNUIUF6LE3YWIW · pith_short_8: 72YNUIUF

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/72YNUIUF6LE3YWIW2CN73ZU4A6 \
  | 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: feb0da2285f2c9bc5916d09bfde69c0785b5bf0797f209daf5fce71408f56537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039d155607e0c9ee5c9f11c19d352c55faafb864cb1a272d6c6671c654f7ef7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-21T16:48:13Z",
    "title_canon_sha256": "bb63723f44e2f18a81a4d30b4c0f880c6d3031ec6f7e4c9fd0012278386851b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08746",
    "kind": "arxiv",
    "version": 1
  }
}