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Pith Number

pith:V75TYKXE

pith:2012:V75TYKXE6XYKFUR7BECNLTTDHA
not attested not anchored not stored refs pending

Brillouin-Wigner perturbation theory in open electromagnetic systems

E. A. Muljarov, R. Zimmermann, W. Langbein

arxiv:1205.4924 v1 · 2012-05-22 · physics.optics · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V75TYKXE6XYKFUR7BECNLTTDHA}

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 2026-05-18T03:55:11.303245Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

affb3c2ae4f5f0a2d23f0904d5ce6338196e85c5f4f9c77b876a53c4b10c3d4d

Aliases

arxiv: 1205.4924 · arxiv_version: 1205.4924v1 · doi: 10.48550/arxiv.1205.4924 · pith_short_12: V75TYKXE6XYK · pith_short_16: V75TYKXE6XYKFUR7 · pith_short_8: V75TYKXE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V75TYKXE6XYKFUR7BECNLTTDHA \
  | 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: affb3c2ae4f5f0a2d23f0904d5ce6338196e85c5f4f9c77b876a53c4b10c3d4d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0d2cd73dd928aa90367266e60cb0b18ee898814f14329f8a003b9bbb54cf47f0",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-05-22T14:24:17Z",
    "title_canon_sha256": "15e7dc479d22afd1e950552f18297797bb3d994c702517f7676eced5942362ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4924",
    "kind": "arxiv",
    "version": 1
  }
}