Pith Number

pith:2RCOUB5F

pith:1994:2RCOUB5FICFM4CQ6GFQ2KLPLYJ

not attested not anchored not stored refs pending

Ladder operators for Szeg\H{o} polynomials and related biorthogonal rational functions

Mizan Rahman, Mourad E. H. Ismail

arxiv:math/9406227 v1 · 1994-06-30 · 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{2RCOUB5FICFM4CQ6GFQ2KLPLYJ}

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	2026-05-18T01:05:51.305130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d444ea07a5408ace0a1e3161a52debc24d4f3467ef09245966f9dff8d02b6698

Aliases

arxiv: math/9406227 · arxiv_version: math/9406227v1 · doi: 10.48550/arxiv.math/9406227 · pith_short_12: 2RCOUB5FICFM · pith_short_16: 2RCOUB5FICFM4CQ6 · pith_short_8: 2RCOUB5F

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/2RCOUB5FICFM4CQ6GFQ2KLPLYJ \
  | 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: d444ea07a5408ace0a1e3161a52debc24d4f3467ef09245966f9dff8d02b6698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf35a096c888cff35f00d980534ea9c4347e961f3f4bbf0b9bbafa4777150399",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1994-06-30T00:00:00Z",
    "title_canon_sha256": "2d66ed9225d77f1b880e0d792292cdf650f67110e0b2bddffb132f5db7a60a4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9406227",
    "kind": "arxiv",
    "version": 1
  }
}