Pith Number

pith:CEAVGZTB

pith:2011:CEAVGZTBKODDOJ3K454C3YD2RT

not attested not anchored not stored refs pending

PT symmetry and spontaneous symmetry breaking in a microwave billiard

A. Richter, B. Dietz, F. Schaefer, H. L. Harney, M. Miski-Oglu, S. Bittner, U. Guenther

arxiv:1107.4256 v3 · 2011-07-21 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CEAVGZTBKODDOJ3K454C3YD2RT}

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	2026-05-18T04:04:53.324547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1101536661538637276ae7782de07a8cd22bd98d92eef13db0f67e10d3bff186

Aliases

arxiv: 1107.4256 · arxiv_version: 1107.4256v3 · doi: 10.48550/arxiv.1107.4256 · pith_short_12: CEAVGZTBKODD · pith_short_16: CEAVGZTBKODDOJ3K · pith_short_8: CEAVGZTB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CEAVGZTBKODDOJ3K454C3YD2RT \
  | 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: 1101536661538637276ae7782de07a8cd22bd98d92eef13db0f67e10d3bff186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f99948842bff6eda2f5b56ef4b14aa435e50056550ca8d7bc4e0f45e0419d6bf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-21T12:47:58Z",
    "title_canon_sha256": "8e2f1a5a0a689560763f458477334935c8fd7b58acc560eb4cda6f80071054d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4256",
    "kind": "arxiv",
    "version": 3
  }
}