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Pith Number

pith:MQH2KGAM

pith:2015:MQH2KGAMLQNCTG3CE435QIOTLC
not attested not anchored not stored refs pending

Melas-type bounds for the Heisenberg Laplacian on bounded domains

Bartosch Ruszkowski, Hynek Kovarik, Timo Weidl

arxiv:1511.04223 v1 · 2015-11-13 · math.SP · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MQH2KGAMLQNCTG3CE435QIOTLC}

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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 2026-05-18T01:26:59.394277Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

640fa5180c5c1a299b622737d821d3588c1e9f8cf55d5f2e8fabaab6cf318afa

Aliases

arxiv: 1511.04223 · arxiv_version: 1511.04223v1 · doi: 10.48550/arxiv.1511.04223 · pith_short_12: MQH2KGAMLQNC · pith_short_16: MQH2KGAMLQNCTG3C · pith_short_8: MQH2KGAM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQH2KGAMLQNCTG3CE435QIOTLC \
  | 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: 640fa5180c5c1a299b622737d821d3588c1e9f8cf55d5f2e8fabaab6cf318afa
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5c50f7ee8051dfe3173dcb3cf2ec8427e53b242012db98198ac2aec42a606d17",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-13T10:17:36Z",
    "title_canon_sha256": "c0ff7a964598622cdef40c014407d64afe16d1825b7fccf6a2495f8437cae573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04223",
    "kind": "arxiv",
    "version": 1
  }
}