Pith Number

pith:QLOJWMM4

pith:2026:QLOJWMM45NVREGBDJ3YA6V4OPC

not attested not anchored not stored refs pending

Size Scaling Law for Radiation Losses of Modes in Photonic Crystal Surface Emitting Devices

and Chaofan Zhang, Jiang Hu, Ming L\"u, Qi Dai, Qingyuan Zhang, Rui Zhu, Xiaojun Xu

arxiv:2603.02880 v2 · 2026-03-03 · 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{QLOJWMM45NVREGBDJ3YA6V4OPC}

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	2026-05-26T02:04:07.691059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82dc9b319ceb6b1218234ef00f578e7882b9bb33e7828ad37482b6f35726436c

Aliases

arxiv: 2603.02880 · arxiv_version: 2603.02880v2 · doi: 10.48550/arxiv.2603.02880 · pith_short_12: QLOJWMM45NVR · pith_short_16: QLOJWMM45NVREGBD · pith_short_8: QLOJWMM4

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/QLOJWMM45NVREGBDJ3YA6V4OPC \
  | 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: 82dc9b319ceb6b1218234ef00f578e7882b9bb33e7828ad37482b6f35726436c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac03f2007509da4de1a7cb3c6ad33a42d06531176b91fdfdc05d0e383058f294",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-03-03T11:32:53Z",
    "title_canon_sha256": "70d3231382bbbdfb5bc0fb36dbb6c239baffb2a5fad75ea6a4b6db94f74cfa2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.02880",
    "kind": "arxiv",
    "version": 2
  }
}