Pith Number

pith:LCNCC7ME

pith:2009:LCNCC7MEYFSDIOOFUQ3LAHTYFA

not attested not anchored not stored refs pending

Negative and positive refraction are not Lorentz covariant

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

arxiv:0907.5278 v1 · 2009-07-30 · physics.optics · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCNCC7MEYFSDIOOFUQ3LAHTYFA}

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	2026-05-18T02:12:46.213587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

589a217d84c1643439c5a436b01e78282eafbb9f0dc5b4cb2e827af6e404ad0f

Aliases

arxiv: 0907.5278 · arxiv_version: 0907.5278v1 · doi: 10.48550/arxiv.0907.5278 · pith_short_12: LCNCC7MEYFSD · pith_short_16: LCNCC7MEYFSDIOOF · pith_short_8: LCNCC7ME

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/LCNCC7MEYFSDIOOFUQ3LAHTYFA \
  | 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: 589a217d84c1643439c5a436b01e78282eafbb9f0dc5b4cb2e827af6e404ad0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e818452a8c291bf4ffa9fbe545872e16cf42a404bfa74288e6d24f7e8e29f99",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-07-30T08:38:58Z",
    "title_canon_sha256": "aebea353762d33310e6f8a4034bbfe431639cde56992f97ff4e556bdd68364fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5278",
    "kind": "arxiv",
    "version": 1
  }
}