Pith Number

pith:4YYCOJUE

pith:2016:4YYCOJUE36NH7ZLP5LGQMEMHMX

not attested not anchored not stored refs pending

Nonlinear modal interactions in parity-time (${\cal PT}$) symmetric lasers

Li Ge, Ramy El-Ganainy

arxiv:1602.07293 v2 · 2016-02-23 · 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{4YYCOJUE36NH7ZLP5LGQMEMHMX}

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	2026-05-18T01:17:04.803921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e630272684df9a7fe56feacd06118765e7b2ff035ca8478fd6fe82fc2307bbff

Aliases

arxiv: 1602.07293 · arxiv_version: 1602.07293v2 · doi: 10.48550/arxiv.1602.07293 · pith_short_12: 4YYCOJUE36NH · pith_short_16: 4YYCOJUE36NH7ZLP · pith_short_8: 4YYCOJUE

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/4YYCOJUE36NH7ZLP5LGQMEMHMX \
  | 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: e630272684df9a7fe56feacd06118765e7b2ff035ca8478fd6fe82fc2307bbff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e10478e6f07b985d02435e6d7743773fb38243f8a2dfe0bafdc0f32d38bc353",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-02-23T20:42:39Z",
    "title_canon_sha256": "950d7074f0acd9bb1a479454e0b5b567901929731ad9d037863c44251b55223e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07293",
    "kind": "arxiv",
    "version": 2
  }
}