Pith Number

pith:ZSFU2CHX

pith:2011:ZSFU2CHX7ISKJ6BTHD5VSW33OH

not attested not anchored not stored refs pending

A flexible Bloch mode method for computing complex band structures and impedances of two-dimensional photonic crystals

C. Martijn de Sterke, Felix J. Lawrence, Kokou B. Dossou, Lindsay C. Botten, R. C. McPhedran

arxiv:1111.3435 v2 · 2011-11-15 · 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{ZSFU2CHX7ISKJ6BTHD5VSW33OH}

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	2026-05-18T04:04:32.974000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc8b4d08f7fa24a4f83338fb595b7b71c667786b4b6d30d976a897e5097d0e82

Aliases

arxiv: 1111.3435 · arxiv_version: 1111.3435v2 · doi: 10.48550/arxiv.1111.3435 · pith_short_12: ZSFU2CHX7ISK · pith_short_16: ZSFU2CHX7ISKJ6BT · pith_short_8: ZSFU2CHX

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/ZSFU2CHX7ISKJ6BTHD5VSW33OH \
  | 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: cc8b4d08f7fa24a4f83338fb595b7b71c667786b4b6d30d976a897e5097d0e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2aad775ec0cf6642d2b84edd994d3810639aeaa474513b2ddbb20db7451069",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-11-15T06:16:14Z",
    "title_canon_sha256": "1117507cd63187fa04dad6f7f657ad287ad523b20c590585f870aafef9b048bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3435",
    "kind": "arxiv",
    "version": 2
  }
}