Pith Number

pith:FYMUOK7K

pith:2026:FYMUOK7KSMHE3P2O76MSSAYRZQ

not attested not anchored not stored refs pending

Optical Amplification with Large Goos-H$\ddot{a}$nchen Shift Driven by Non-Hermitian Bilayer Meta-Grating

Ma Luo, Xueyi Zhang

arxiv:2606.31060 v1 · 2026-06-30 · 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{FYMUOK7KSMHE3P2O76MSSAYRZQ}

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	2026-07-01T01:17:27.891365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e19472bea930e4dbf4eff99290311cc3c86c0eca0a57c204134f29a84bb7908

Aliases

arxiv: 2606.31060 · arxiv_version: 2606.31060v1 · doi: 10.48550/arxiv.2606.31060 · pith_short_12: FYMUOK7KSMHE · pith_short_16: FYMUOK7KSMHE3P2O · pith_short_8: FYMUOK7K

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/FYMUOK7KSMHE3P2O76MSSAYRZQ \
  | 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: 2e19472bea930e4dbf4eff99290311cc3c86c0eca0a57c204134f29a84bb7908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e2c91db9d38d2c06d8acc863b70265bc70de43a217db905fa7ea786fc62441",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-30T02:49:50Z",
    "title_canon_sha256": "61fd37a66433568d35214d6db19c3ef4b3f9f36f05444580ca563a8d3c0e86de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31060",
    "kind": "arxiv",
    "version": 1
  }
}