Pith Number

pith:UVBJGHLS

pith:2014:UVBJGHLSLCMHZUAJQRE62VGLZW

not attested not anchored not stored refs pending

Spontaneous PT-symmetry breaking for systems of noncommutative Euclidean Lie algebraic type

Andreas Fring, Sanjib Dey, Thilagarajah Mathanaranjan

arxiv:1407.8097 v1 · 2014-07-30 · 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{UVBJGHLSLCMHZUAJQRE62VGLZW}

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	2026-05-18T01:30:08.358089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a542931d7258987cd0098449ed54cbcdb985e6f495266f1df075cf2f11c2ccf8

Aliases

arxiv: 1407.8097 · arxiv_version: 1407.8097v1 · doi: 10.48550/arxiv.1407.8097 · pith_short_12: UVBJGHLSLCMH · pith_short_16: UVBJGHLSLCMHZUAJ · pith_short_8: UVBJGHLS

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/UVBJGHLSLCMHZUAJQRE62VGLZW \
  | 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: a542931d7258987cd0098449ed54cbcdb985e6f495266f1df075cf2f11c2ccf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daecb809020a90ac5caf86ff7c77b0a8a1bcdea136a7e3184e3a1e9700235ffc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-07-30T15:40:07Z",
    "title_canon_sha256": "68548cb731f1047aa61565c231a8607fbc222ba52880f1641a7c84cf15b6da5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8097",
    "kind": "arxiv",
    "version": 1
  }
}