Pith Number

pith:TUR24QC3

pith:2015:TUR24QC3ISX6KWHYJOJNVQSN43

not attested not anchored not stored refs pending

Commuting ordinary differential operators with polynomial coefficients and automorphisms of the first Weyl algebra

Alexander B. Zheglov, Andrey E. Mironov

arxiv:1503.00485 v1 · 2015-03-02 · math-ph · math.AG · math.CA · math.MP · math.RA · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUR24QC3ISX6KWHYJOJNVQSN43}

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	2026-05-18T01:19:44.601111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d23ae405b44afe558f84b92dac24de6dc5fc078a1281be4cfb5500f09b38a13

Aliases

arxiv: 1503.00485 · arxiv_version: 1503.00485v1 · doi: 10.48550/arxiv.1503.00485 · pith_short_12: TUR24QC3ISX6 · pith_short_16: TUR24QC3ISX6KWHY · pith_short_8: TUR24QC3

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/TUR24QC3ISX6KWHYJOJNVQSN43 \
  | 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: 9d23ae405b44afe558f84b92dac24de6dc5fc078a1281be4cfb5500f09b38a13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aaf9f48b8f97899ea9e26f47e1a0c7e87a6a97a39a964bb2163eefeedfe56c7",
    "cross_cats_sorted": [
      "math.AG",
      "math.CA",
      "math.MP",
      "math.RA",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-02T11:27:53Z",
    "title_canon_sha256": "89aab3f9a2fbc8af754c28ae16ee7aa39eb20a56c2998cfc743d04db045956c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00485",
    "kind": "arxiv",
    "version": 1
  }
}