Pith Number

pith:X7F5DTPE

pith:2011:X7F5DTPEEOOPRUAIEVZU6X4GWL

not attested not anchored not stored refs pending

Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits

Antonio J. Dur\'an, Jorge Borrego, Mirta Castro

arxiv:1102.1578 v1 · 2011-02-08 · 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{X7F5DTPEEOOPRUAIEVZU6X4GWL}

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	2026-05-18T04:29:52.938419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfcbd1cde4239cf8d00825734f5f86b2fc162b12893d60d1bb10563b7fcc6c29

Aliases

arxiv: 1102.1578 · arxiv_version: 1102.1578v1 · doi: 10.48550/arxiv.1102.1578 · pith_short_12: X7F5DTPEEOOP · pith_short_16: X7F5DTPEEOOPRUAI · pith_short_8: X7F5DTPE

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/X7F5DTPEEOOPRUAIEVZU6X4GWL \
  | 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: bfcbd1cde4239cf8d00825734f5f86b2fc162b12893d60d1bb10563b7fcc6c29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b00b197291ebf11732c4997ee9055e8f01397b3dc73ad1fb363ea68b9fff8a70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-02-08T11:52:42Z",
    "title_canon_sha256": "91de75400025b0670a1565beaaa9133aa0dbb7168993c155f1eab86b40e5184f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1578",
    "kind": "arxiv",
    "version": 1
  }
}