Pith Number

pith:37E54UA2

pith:2005:37E54UA2QRZRBSXT5IY2PVYBRF

not attested not anchored not stored refs pending

Electromagnetic waves with negative phase velocity in Schwarzschild-de Sitter spacetime

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

arxiv:astro-ph/0503142 v3 · 2005-03-07 · 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{37E54UA2QRZRBSXT5IY2PVYBRF}

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	2026-05-18T00:42:24.299166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfc9de501a847310caf3ea31a7d7018941c40f36432e419cc4e60fd174703f56

Aliases

arxiv: astro-ph/0503142 · arxiv_version: astro-ph/0503142v3 · doi: 10.48550/arxiv.astro-ph/0503142 · pith_short_12: 37E54UA2QRZR · pith_short_16: 37E54UA2QRZRBSXT · pith_short_8: 37E54UA2

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/37E54UA2QRZRBSXT5IY2PVYBRF \
  | 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: dfc9de501a847310caf3ea31a7d7018941c40f36432e419cc4e60fd174703f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67bb61491031ba4a52a54781f63a2dc8b1371bb120b1aeb9a4cbf2cb6efa31bc",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-03-07T13:04:18Z",
    "title_canon_sha256": "a168098cea84b2796feed5a3f03c9c5ce72ff6590814bceda5fbc3d660e0381c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0503142",
    "kind": "arxiv",
    "version": 3
  }
}