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Pith Number

pith:5D56KMPG

pith:2014:5D56KMPGDBB5EWSAMQPDMKOXEX
not attested not anchored not stored refs pending

Computation of the unipotent radical of the differential Galois group for a parameterized second-order linear differential equation

Carlos E. Arreche

arxiv:1401.6144 v1 · 2014-01-23 · math.AC · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5D56KMPGDBB5EWSAMQPDMKOXEX}

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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 2026-05-18T02:53:39.994296Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e8fbe531e61843d25a40641e3629d725fe4320b6fbfb83df33671002ba364487

Aliases

arxiv: 1401.6144 · arxiv_version: 1401.6144v1 · doi: 10.48550/arxiv.1401.6144 · pith_short_12: 5D56KMPGDBB5 · pith_short_16: 5D56KMPGDBB5EWSA · pith_short_8: 5D56KMPG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5D56KMPGDBB5EWSAMQPDMKOXEX \
  | 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: e8fbe531e61843d25a40641e3629d725fe4320b6fbfb83df33671002ba364487
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "73b3a647fcaa2fddffedda6e57ee5e96ea2a97b78f4adafd77dc87893db222c3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-01-23T19:57:50Z",
    "title_canon_sha256": "07279cd118ee9cb560e23e30a7dc16d4ff7dd9efa14e5bb0f40e2a552937940b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6144",
    "kind": "arxiv",
    "version": 1
  }
}