Pith Number

pith:HJUM4A7P

pith:2012:HJUM4A7PU5KSHFAATWUXALAIR5

not attested not anchored not stored refs pending

Commuting differential operators and higher-dimensional algebraic varieties

Alexander Zheglov, Denis Osipov, Herbert Kurke

arxiv:1211.0976 v4 · 2012-11-05 · 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{HJUM4A7PU5KSHFAATWUXALAIR5}

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	2026-05-18T00:24:54.636530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a68ce03efa7552394009da9702c088f54c5069483274aa485a58b0d7d54e946

Aliases

arxiv: 1211.0976 · arxiv_version: 1211.0976v4 · doi: 10.48550/arxiv.1211.0976 · pith_short_12: HJUM4A7PU5KS · pith_short_16: HJUM4A7PU5KSHFAA · pith_short_8: HJUM4A7P

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/HJUM4A7PU5KSHFAATWUXALAIR5 \
  | 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: 3a68ce03efa7552394009da9702c088f54c5069483274aa485a58b0d7d54e946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0993a7adca12adc84efd3769a8d32b6255fba53a18be202c702ba380af1fbde",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-05T19:12:45Z",
    "title_canon_sha256": "a949f6ec7d67c0c4672dae7f8c4fcd02953bc85a150df929a56ccdee2f937659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0976",
    "kind": "arxiv",
    "version": 4
  }
}