Pith Number

pith:VDYTFIM5

pith:2016:VDYTFIM5USGOLC5JFIANDTQF5W

not attested not anchored not stored refs pending

Exact control of parity-time symmetry in periodically modulated nonlinear optical couplers

Baiyuan Yang, Qianglin Hu, Xiaobing Luo, Xiaoguang Yu

arxiv:1606.03916 v2 · 2016-06-13 · 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{VDYTFIM5USGOLC5JFIANDTQF5W}

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	2026-05-18T01:01:23.575647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f132a19da48ce58ba92a00d1ce05edb73e2f9ece02913fc8a235e31955ab9a

Aliases

arxiv: 1606.03916 · arxiv_version: 1606.03916v2 · doi: 10.48550/arxiv.1606.03916 · pith_short_12: VDYTFIM5USGO · pith_short_16: VDYTFIM5USGOLC5J · pith_short_8: VDYTFIM5

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/VDYTFIM5USGOLC5JFIANDTQF5W \
  | 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: a8f132a19da48ce58ba92a00d1ce05edb73e2f9ece02913fc8a235e31955ab9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42dd5415253806a7da937cc8132e71a4520da9c3711ea8073028cf6ec3e1a393",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-06-13T12:22:40Z",
    "title_canon_sha256": "14be677a2284f30cce47520921d5613f43b6c5abf4bb3228d65ada0b0969c6fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03916",
    "kind": "arxiv",
    "version": 2
  }
}