Pith Number

pith:LBM5OFYE

pith:2008:LBM5OFYEZSL6BW5WENSL2QGZLZ

not attested not anchored not stored refs pending

Representation theory for vector electromagnetic beams

Chun-Fang Li

arxiv:0806.2434 v2 · 2008-06-15 · 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{LBM5OFYEZSL6BW5WENSL2QGZLZ}

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	2026-05-18T01:21:42.050206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5859d71704cc97e0dbb62364bd40d95e630effd8908050bc9711afa1bb0b37ed

Aliases

arxiv: 0806.2434 · arxiv_version: 0806.2434v2 · doi: 10.48550/arxiv.0806.2434 · pith_short_12: LBM5OFYEZSL6 · pith_short_16: LBM5OFYEZSL6BW5W · pith_short_8: LBM5OFYE

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/LBM5OFYEZSL6BW5WENSL2QGZLZ \
  | 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: 5859d71704cc97e0dbb62364bd40d95e630effd8908050bc9711afa1bb0b37ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2b41d9063dd084ccec6d5e7706ae8fc4d97e43800acd0f3d0da842e4f9db412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2008-06-15T11:43:10Z",
    "title_canon_sha256": "2832b32837793da221a46e18f63d59122a0988e80fa0eaa6fef3eb059c19b1d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.2434",
    "kind": "arxiv",
    "version": 2
  }
}