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Pith Number

pith:RV5EDLTZ

pith:2015:RV5EDLTZCJFAK3Q77FFPN6WFDE
not attested not anchored not stored refs pending

Estimates for the Lowest Eigenvalue of Magnetic Laplacians

Fabian Portmann, Hynek Kovarik, Tomas Ekholm

arxiv:1501.05554 v1 · 2015-01-22 · math.SP · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RV5EDLTZCJFAK3Q77FFPN6WFDE}

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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 2026-05-18T02:28:54.471914Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8d7a41ae79124a056e1ff94af6fac5192208125d52a22ddd1b12b426471005bf

Aliases

arxiv: 1501.05554 · arxiv_version: 1501.05554v1 · doi: 10.48550/arxiv.1501.05554 · pith_short_12: RV5EDLTZCJFA · pith_short_16: RV5EDLTZCJFAK3Q7 · pith_short_8: RV5EDLTZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RV5EDLTZCJFAK3Q77FFPN6WFDE \
  | 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: 8d7a41ae79124a056e1ff94af6fac5192208125d52a22ddd1b12b426471005bf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "94b8aeb4a09e7a78e777aa9575c6c57a2b11a16b37f2625fcc0087505f66e5c2",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-01-22T16:21:27Z",
    "title_canon_sha256": "9eefbd7f46265f5aff2e3699413f576e9105234daa1391216838540730584057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05554",
    "kind": "arxiv",
    "version": 1
  }
}