Pith Number

pith:4CXZE2ZY

pith:2004:4CXZE2ZY2DIF63IDLYZRUFCXO3

not attested not anchored not stored refs pending

Negative phase velocity of electromagnetic waves and the cosmological constant

Akhlesh Lakhtakia (Pennsylvania State University), Sandi Setiawan (University of Edinburgh), Tom G. Mackay (University of Edinburgh)

arxiv:astro-ph/0411754 v2 · 2004-11-29 · astro-ph · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CXZE2ZY2DIF63IDLYZRUFCXO3}

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	2026-05-18T00:42:24.305196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0af926b38d0d05f6d035e331a145776ee59f8e3f0fca130fcf42b623a9b11c6

Aliases

arxiv: astro-ph/0411754 · arxiv_version: astro-ph/0411754v2 · doi: 10.48550/arxiv.astro-ph/0411754 · pith_short_12: 4CXZE2ZY2DIF · pith_short_16: 4CXZE2ZY2DIF63ID · pith_short_8: 4CXZE2ZY

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/4CXZE2ZY2DIF63IDLYZRUFCXO3 \
  | 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: e0af926b38d0d05f6d035e331a145776ee59f8e3f0fca130fcf42b623a9b11c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8aff791d2280930aa2ef257b8b21c8ec9774ae9664fbd5186bc122a256c418c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-11-29T09:22:44Z",
    "title_canon_sha256": "0d0d9eb1377ea5f10b3dd2524d0017f65e9fcc6d5bcbd8b85b2bb4085af23ecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0411754",
    "kind": "arxiv",
    "version": 2
  }
}