Pith Number

pith:XKZR3IZT

pith:2010:XKZR3IZTHVQFB4WDLXT33FPNG4

not attested not anchored not stored refs pending

Integral equation method for the electromagnetic wave propagation in stratified anisotropic dielectric-magnetic materials

Dianyuan Fan, Hailu Luo, Na Fu, Shuangchun Wen, Weixing Shu, Xiaofang Lv

arxiv:1004.4695 v2 · 2010-04-27 · 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{XKZR3IZTHVQFB4WDLXT33FPNG4}

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	2026-05-18T02:07:53.508573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab31da3333d6050f2c35de7bd95ed3706e9fff98d909405a54402d76b0931a1

Aliases

arxiv: 1004.4695 · arxiv_version: 1004.4695v2 · doi: 10.48550/arxiv.1004.4695 · pith_short_12: XKZR3IZTHVQF · pith_short_16: XKZR3IZTHVQFB4WD · pith_short_8: XKZR3IZT

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/XKZR3IZTHVQFB4WDLXT33FPNG4 \
  | 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: bab31da3333d6050f2c35de7bd95ed3706e9fff98d909405a54402d76b0931a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82936c52c0bed5687fcc70565cb7210b7a32dd7441024cd03dd2c6061ea46a51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-04-27T02:33:45Z",
    "title_canon_sha256": "76538671f0db5e58ee8d249be8b0e663684e349b2f9ce53ebeb6e507e8599be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4695",
    "kind": "arxiv",
    "version": 2
  }
}