Pith Number

pith:XPLME7RX

pith:2017:XPLME7RXRQ4VA22QFA2VBHLC7L

not attested not anchored not stored refs pending

Matrix biorthogonal polynomials, associated polynomials and functions of the second kind

Amilcar Branquinho, Francisco Marcell\'an, Juan Carlos Garc\'ia-Ardila

arxiv:1708.01637 v1 · 2017-08-04 · 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{XPLME7RXRQ4VA22QFA2VBHLC7L}

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	2026-05-18T00:38:35.342473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd6c27e378c39506b502835509d62fafb091964acd4dbc26422ccfded48117f

Aliases

arxiv: 1708.01637 · arxiv_version: 1708.01637v1 · doi: 10.48550/arxiv.1708.01637 · pith_short_12: XPLME7RXRQ4V · pith_short_16: XPLME7RXRQ4VA22Q · pith_short_8: XPLME7RX

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/XPLME7RXRQ4VA22QFA2VBHLC7L \
  | 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: bbd6c27e378c39506b502835509d62fafb091964acd4dbc26422ccfded48117f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e7997c20c5dfd4e63600a414da141c5607f0527b1179ac7b0673e014645938d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-04T18:41:08Z",
    "title_canon_sha256": "e6998e2ef0ae1d0fd133b960b65f72232adbe10c33517437b787e7d78fa6c32a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01637",
    "kind": "arxiv",
    "version": 1
  }
}