Pith Number

pith:4MRK4PXJ

pith:2000:4MRK4PXJU2N5634WB7H5ZKQLTF

not attested not anchored not stored refs pending

Strong Discontinuities in the Complex Photonic Band Structure of Transmission Metallic Gratings

F. Pardo, J.-L. Pelouard, R. Teissier, S. Collin

arxiv:physics/0007082 v1 · 2000-07-26 · 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{4MRK4PXJU2N5634WB7H5ZKQLTF}

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	2026-07-04T16:22:13.634005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e322ae3ee9a69bdf6f960fcfdcaa0b99757a030427307f28bc1e70bc3b5e84e1

Aliases

arxiv: physics/0007082 · arxiv_version: physics/0007082v1 · doi: 10.48550/arxiv.physics/0007082 · pith_short_12: 4MRK4PXJU2N5 · pith_short_16: 4MRK4PXJU2N5634W · pith_short_8: 4MRK4PXJ

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/4MRK4PXJU2N5634WB7H5ZKQLTF \
  | 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: e322ae3ee9a69bdf6f960fcfdcaa0b99757a030427307f28bc1e70bc3b5e84e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf73e1e8980399fceef51bdbbb0b094f3f3972cad40192f6d8ea1713210f4f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "physics.optics",
    "submitted_at": "2000-07-26T16:58:05Z",
    "title_canon_sha256": "be190c57b166a5017c7c1ccf31e3d6e52e63911609ba550b9218397dbbcdd02f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0007082",
    "kind": "arxiv",
    "version": 1
  }
}