Pith Number

pith:2QGJ5N7C

pith:2014:2QGJ5N7CPOU3QLAOUTKKULX32Q

not attested not anchored not stored refs pending

Geometric properties of commutative subalgebras of partial differential operators

Alexander Zheglov, Herbert Kurke

arxiv:1405.5114 v3 · 2014-05-20 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QGJ5N7CPOU3QLAOUTKKULX32Q}

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	2026-05-18T01:37:11.512675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d40c9eb7e27ba9b82c0ea4d4aa2efbd4194252165ec68a94c1b62e240e5d06c0

Aliases

arxiv: 1405.5114 · arxiv_version: 1405.5114v3 · doi: 10.48550/arxiv.1405.5114 · pith_short_12: 2QGJ5N7CPOU3 · pith_short_16: 2QGJ5N7CPOU3QLAO · pith_short_8: 2QGJ5N7C

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/2QGJ5N7CPOU3QLAOUTKKULX32Q \
  | 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: d40c9eb7e27ba9b82c0ea4d4aa2efbd4194252165ec68a94c1b62e240e5d06c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc9a67035e586a5ae3c8d0eda65751ea1f6965b54cade6190f35d56989d64761",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-20T15:13:37Z",
    "title_canon_sha256": "805fd8f8097803382f5cd0eb5c3dbed3eca579c17808ea6ce70d5d11c85a4d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5114",
    "kind": "arxiv",
    "version": 3
  }
}