Pith Number

pith:D7R23Z2U

pith:2011:D7R23Z2UHKEBI5QIGQ3MOQAIWY

not attested not anchored not stored refs pending

PT-symmetry breaking in complex nonlinear wave equations and their deformations

Andrea Cavaglia, Andreas Fring, Bijan Bagchi

arxiv:1103.1832 v1 · 2011-03-09 · math-ph · hep-th · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7R23Z2UHKEBI5QIGQ3MOQAIWY}

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	2026-05-18T02:22:30.721493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe3ade7543a881476083436c74008b62f2dbd2aa8806111977c532c0034ca19

Aliases

arxiv: 1103.1832 · arxiv_version: 1103.1832v1 · doi: 10.48550/arxiv.1103.1832 · pith_short_12: D7R23Z2UHKEB · pith_short_16: D7R23Z2UHKEBI5QI · pith_short_8: D7R23Z2U

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/D7R23Z2UHKEBI5QIGQ3MOQAIWY \
  | 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: 1fe3ade7543a881476083436c74008b62f2dbd2aa8806111977c532c0034ca19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d673b77eb62c5f3ff8792791f942f1e3817796eaf918507f376679195bc57b92",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-09T17:08:26Z",
    "title_canon_sha256": "b6d47932d3cfb2a1d3041d91edfb6aa500089a37921323a54d862885cbfab0f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1832",
    "kind": "arxiv",
    "version": 1
  }
}