Pith Number

pith:6HWW2XA3

pith:2010:6HWW2XA3HGVWRJWZKIMBTSN7J7

not attested not anchored not stored refs pending

A Plethora of Negative-Refraction Phenomenons in Relativistic and Non-Relativistic Scenarios

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

arxiv:1008.4282 v1 · 2010-08-25 · 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{6HWW2XA3HGVWRJWZKIMBTSN7J7}

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	2026-05-18T04:41:53.260187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ed6d5c1b39ab68a6d9521819c9bf4ff0a2149cab9778289aca86df24e14b78

Aliases

arxiv: 1008.4282 · arxiv_version: 1008.4282v1 · doi: 10.48550/arxiv.1008.4282 · pith_short_12: 6HWW2XA3HGVW · pith_short_16: 6HWW2XA3HGVWRJWZ · pith_short_8: 6HWW2XA3

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/6HWW2XA3HGVWRJWZKIMBTSN7J7 \
  | 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: f1ed6d5c1b39ab68a6d9521819c9bf4ff0a2149cab9778289aca86df24e14b78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b56912d610a564a0e42a113f375342349a605e5f074657b5f88dd9e352dc13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-08-25T14:07:35Z",
    "title_canon_sha256": "eef412de5ea74a09a1f95341231e07a1fffcb8b26cc40a19d726ba8209aa6082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4282",
    "kind": "arxiv",
    "version": 1
  }
}