Pith Number

pith:OCQOZVRL

pith:2011:OCQOZVRLXAUVPI7FM54AZSR6RE

not attested not anchored not stored refs pending

Krall-Laguerre commutative algebras of ordinary differential operators

Plamen Iliev

arxiv:1107.3773 v1 · 2011-07-19 · math.CA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCQOZVRLXAUVPI7FM54AZSR6RE}

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	2026-05-18T03:30:03.115306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a0ecd62bb82957a3e567780cca3e890928321f4e9a0c72bd6c424ab2d9ac7b

Aliases

arxiv: 1107.3773 · arxiv_version: 1107.3773v1 · doi: 10.48550/arxiv.1107.3773 · pith_short_12: OCQOZVRLXAUV · pith_short_16: OCQOZVRLXAUVPI7F · pith_short_8: OCQOZVRL

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/OCQOZVRLXAUVPI7FM54AZSR6RE \
  | 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: 70a0ecd62bb82957a3e567780cca3e890928321f4e9a0c72bd6c424ab2d9ac7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab417feaf4fbf5fa591714750131a2ee908a260d1c0bed7d9a57be6d8a1d3314",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-07-19T16:49:46Z",
    "title_canon_sha256": "e8d758e88918957d589470877defa2755a9603b77f9c6dc7a72d130de5e1e96e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3773",
    "kind": "arxiv",
    "version": 1
  }
}