Pith Number

pith:BVZD6NVN

pith:2012:BVZD6NVN36MYWDG4EFPMSIPSBU

not attested not anchored not stored refs pending

On the spectrum of waveguides in planar photonic bandgap structures

Ian Wood, Malcolm Brown, Michael Plum, Vu Hoang

arxiv:1204.0998 v1 · 2012-04-04 · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVZD6NVN36MYWDG4EFPMSIPSBU}

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	2026-05-18T03:58:37.285651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d723f36addf998b0cdc215ec921f20d0a704bdcbf69f601d16d3c9f7a923eb1

Aliases

arxiv: 1204.0998 · arxiv_version: 1204.0998v1 · doi: 10.48550/arxiv.1204.0998 · pith_short_12: BVZD6NVN36MY · pith_short_16: BVZD6NVN36MYWDG4 · pith_short_8: BVZD6NVN

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/BVZD6NVN36MYWDG4EFPMSIPSBU \
  | 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: 0d723f36addf998b0cdc215ec921f20d0a704bdcbf69f601d16d3c9f7a923eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34930494902d954b44d1f05a002f6f43e71f219df9fd049cbb5db71d179d9288",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-04T16:48:00Z",
    "title_canon_sha256": "d1c4f6fab0cb4860c33dedb2ffb7fd2a9033dfacefd76f37d2ed96a9cc5f45e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0998",
    "kind": "arxiv",
    "version": 1
  }
}