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Pith Number

pith:HPZCME52

pith:2011:HPZCME52BI3NWQV5LF33JS7Q4W
not attested not anchored not stored refs pending

Electromagnetic vacuum energy for two parallel slabs in terms of surface, wave guide and photonic modes

M. Bordag

arxiv:1111.6356 v3 · 2011-11-28 · quant-ph · math-ph · math.MP · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HPZCME52BI3NWQV5LF33JS7Q4W}

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 2026-05-18T03:23:12.295693Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3bf22613ba0a36db42bd5977b4cbf0e592a39b06a371ee081b04afe5f7116f6c

Aliases

arxiv: 1111.6356 · arxiv_version: 1111.6356v3 · doi: 10.48550/arxiv.1111.6356 · pith_short_12: HPZCME52BI3N · pith_short_16: HPZCME52BI3NWQV5 · pith_short_8: HPZCME52
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HPZCME52BI3NWQV5LF33JS7Q4W \
  | 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: 3bf22613ba0a36db42bd5977b4cbf0e592a39b06a371ee081b04afe5f7116f6c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4ebb137191e7585007d5cd1e30420f4588ac3f6249901f5f510ce289b65a8230",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-28T07:01:40Z",
    "title_canon_sha256": "8dca9e15d927b53c5ab5690e5705b6b8f9aed60ff011018fb5f5cc4b558aecb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6356",
    "kind": "arxiv",
    "version": 3
  }
}