Pith Number

pith:THFQSB6E

pith:2017:THFQSB6EQX5JYRBXEFM5T6JQBC

not attested not anchored not stored refs pending

Ratio asymptotic for bi-orthogonal matrix polynomials with unbounded recurrence coefficients

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

arxiv:1708.01638 v2 · 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{THFQSB6EQX5JYRBXEFM5T6JQBC}

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	2026-05-18T00:33:43.288538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99cb0907c485fa9c44372159d9f930089ca3f162e05ba5a5a2fdf9fd8ce3538e

Aliases

arxiv: 1708.01638 · arxiv_version: 1708.01638v2 · doi: 10.48550/arxiv.1708.01638 · pith_short_12: THFQSB6EQX5J · pith_short_16: THFQSB6EQX5JYRBX · pith_short_8: THFQSB6E

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/THFQSB6EQX5JYRBXEFM5T6JQBC \
  | 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: 99cb0907c485fa9c44372159d9f930089ca3f162e05ba5a5a2fdf9fd8ce3538e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0292593cadf40bde0a229ecdfabda2ad8e78f44d599deba15d8ab1c6cbd785cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-04T18:46:34Z",
    "title_canon_sha256": "b55c1b8d8c8a8a12872ac5e5e716dd7f54857fd2b8f2eaf041e0a7a676e306dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01638",
    "kind": "arxiv",
    "version": 2
  }
}