Pith Number

pith:VREFFLXX

pith:2016:VREFFLXXLVQ4L2CPCEVTES6J4S

not attested not anchored not stored refs pending

${\mathcal{PT}}$ symmetry breaking in waveguide arrays with competing loss/gain pairs

C. V. Morfonios, F. K. Diakonos, P. A. Kalozoumis, P. Schmelcher

arxiv:1601.02089 v2 · 2016-01-09 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VREFFLXXLVQ4L2CPCEVTES6J4S}

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	2026-05-18T01:11:45.178126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4852aef75d61c5e84f112b324bc9e4b604b50f1baa05d960f668a4ae2bb4bb

Aliases

arxiv: 1601.02089 · arxiv_version: 1601.02089v2 · doi: 10.48550/arxiv.1601.02089 · pith_short_12: VREFFLXXLVQ4 · pith_short_16: VREFFLXXLVQ4L2CP · pith_short_8: VREFFLXX

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/VREFFLXXLVQ4L2CPCEVTES6J4S \
  | 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: ac4852aef75d61c5e84f112b324bc9e4b604b50f1baa05d960f668a4ae2bb4bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d79be9a0ff230623a464bd8b9e442e2bfb6ee9fdc8b6f5adf716385706c39e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-01-09T10:01:55Z",
    "title_canon_sha256": "f192fee34afb222598b16f2dade159537dd33178247274ac9eb08efb56b0b4e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02089",
    "kind": "arxiv",
    "version": 2
  }
}