Pith Number

pith:ZLEHK6L5

pith:2016:ZLEHK6L5KAJNRH3BQQPVNSE3KL

not attested not anchored not stored refs pending

Integrable nonlinear parity-time symmetric optical oscillator

Absar U. Hassan, Demetrios N. Christodoulides, Hossein Hodaei, Mercedeh Khajavikhan, Mohammad-Ali Miri

arxiv:1604.07072 v1 · 2016-04-24 · 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{ZLEHK6L5KAJNRH3BQQPVNSE3KL}

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	2026-05-18T01:15:13.492953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac875797d5012d89f61841f56c89b52e38a5f27c59c210e655cf21194448042

Aliases

arxiv: 1604.07072 · arxiv_version: 1604.07072v1 · doi: 10.48550/arxiv.1604.07072 · pith_short_12: ZLEHK6L5KAJN · pith_short_16: ZLEHK6L5KAJNRH3B · pith_short_8: ZLEHK6L5

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/ZLEHK6L5KAJNRH3BQQPVNSE3KL \
  | 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: cac875797d5012d89f61841f56c89b52e38a5f27c59c210e655cf21194448042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef26ab2e89f5a6dc8a11776decbbe6cffb42c0d43ea4a46e83194401a7cbf6d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-04-24T19:02:58Z",
    "title_canon_sha256": "6a7baeaf1cbe566d32af760ae4e312f4f41667c34aea84d9f23e096eed40eba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07072",
    "kind": "arxiv",
    "version": 1
  }
}