Pith Number

pith:BKWLBEJZ

pith:2010:BKWLBEJZX4FKIHPHFRE4COGJZ7

not attested not anchored not stored refs pending

Krall-Jacobi commutative algebras of partial differential operators

Plamen Iliev

arxiv:1011.2599 v4 · 2010-11-11 · 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{BKWLBEJZX4FKIHPHFRE4COGJZ7}

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	2026-05-18T03:56:22.798269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aacb09139bf0aa41de72c49c138c9cfc36523c5760a1e8d7951dc91f482aa66

Aliases

arxiv: 1011.2599 · arxiv_version: 1011.2599v4 · doi: 10.48550/arxiv.1011.2599 · pith_short_12: BKWLBEJZX4FK · pith_short_16: BKWLBEJZX4FKIHPH · pith_short_8: BKWLBEJZ

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/BKWLBEJZX4FKIHPHFRE4COGJZ7 \
  | 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: 0aacb09139bf0aa41de72c49c138c9cfc36523c5760a1e8d7951dc91f482aa66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d1ad6c28d185001f3417492c4646237db85e360a3dfafd940fda4e21baf3f6",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-11T09:35:06Z",
    "title_canon_sha256": "811309368d66668675f2a63421284c983e459c51c25b358ef7b3e5a136820a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2599",
    "kind": "arxiv",
    "version": 4
  }
}