Pith Number

pith:T66O2YRL

pith:2003:T66O2YRLHAV4ES2OFSMCE36WWR

not attested not anchored not stored refs pending

A novel view of plane wave expansion method in photonic crystals

Tzong-Jer Yang, Young-Chung Hsue

arxiv:physics/0307150 v1 · 2003-07-30 · physics.comp-ph · 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{T66O2YRLHAV4ES2OFSMCE36WWR}

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	2026-05-18T03:24:21.013005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fbced622b382bc24b4e2c98226fd6b45a322dd7934eb7faeaea19bf7a3b4dae

Aliases

arxiv: physics/0307150 · arxiv_version: physics/0307150v1 · doi: 10.48550/arxiv.physics/0307150 · pith_short_12: T66O2YRLHAV4 · pith_short_16: T66O2YRLHAV4ES2O · pith_short_8: T66O2YRL

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/T66O2YRLHAV4ES2OFSMCE36WWR \
  | 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: 9fbced622b382bc24b4e2c98226fd6b45a322dd7934eb7faeaea19bf7a3b4dae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316a02b471a1c5fb7c62d31d9a36a9f74d7ccfced061f374e082c548b1adb86a",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2003-07-30T11:36:58Z",
    "title_canon_sha256": "4b730f73ed6fcff01f18163b6a31eb661c276c3524c9a46e00e0c0f7d613d576"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0307150",
    "kind": "arxiv",
    "version": 1
  }
}