Pith Number

pith:FY4AL2HS

pith:2018:FY4AL2HSRRUYN66574LEXYKME3

not attested not anchored not stored refs pending

$\mathcal{PT}$ symmetry and anti-symmetry by anti-Hermitian wave coupling and nonlinear optical interactions

Stefano Longhi

arxiv:1807.10023 v1 · 2018-07-26 · physics.optics · 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{FY4AL2HSRRUYN66574LEXYKME3}

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	2026-07-05T02:16:10.472904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e3805e8f28c6986fbddff164be14c26c0dea14e62db7ff39abf4a68f34c6da8

Aliases

arxiv: 1807.10023 · arxiv_version: 1807.10023v1 · doi: 10.48550/arxiv.1807.10023 · pith_short_12: FY4AL2HSRRUY · pith_short_16: FY4AL2HSRRUYN665 · pith_short_8: FY4AL2HS

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/FY4AL2HSRRUYN66574LEXYKME3 \
  | 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: 2e3805e8f28c6986fbddff164be14c26c0dea14e62db7ff39abf4a68f34c6da8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aeb848d49e208b52e2958403a8b4fc3758b5050a96d09d9fdb2eb880677ccf9",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-07-26T09:15:27Z",
    "title_canon_sha256": "c0f046639e70a8a3dea7f289d0671b1bdab9bfc7738ae0b681d798c11eca2732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10023",
    "kind": "arxiv",
    "version": 1
  }
}