Pith Number

pith:UXFVMK5I

pith:2015:UXFVMK5ID5EC6CCUMOJAW2MHAI

not attested not anchored not stored refs pending

Phase transition in multimode nonlinear parity-time-symmetric waveguide couplers

Natalia M. Litchinitser, Wiktor Walasik

arxiv:1509.03482 v1 · 2015-09-11 · 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{UXFVMK5ID5EC6CCUMOJAW2MHAI}

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	2026-05-18T01:33:23.070543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5cb562ba81f482f085463920b69870230d7e4b9c1b9c07417394181c18b29b3

Aliases

arxiv: 1509.03482 · arxiv_version: 1509.03482v1 · doi: 10.48550/arxiv.1509.03482 · pith_short_12: UXFVMK5ID5EC · pith_short_16: UXFVMK5ID5EC6CCU · pith_short_8: UXFVMK5I

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/UXFVMK5ID5EC6CCUMOJAW2MHAI \
  | 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: a5cb562ba81f482f085463920b69870230d7e4b9c1b9c07417394181c18b29b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1e1bc92c798ff567dfc8c6fb9f02cf8ea2621137d802a7bc9bd1aec69c34949",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-09-11T12:47:08Z",
    "title_canon_sha256": "060d16fcbd6c6973f84743950f2015312be8110601e8bd9f5f2ee3c63efccb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03482",
    "kind": "arxiv",
    "version": 1
  }
}