Pith Number

pith:PZ7AMQKB

pith:2015:PZ7AMQKBA2Q6J4JZQJGQ7WF5VV

not attested not anchored not stored refs pending

Simultaneous amplification and attenuation in isotropic chiral materials

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

arxiv:1512.08416 v1 · 2015-12-28 · 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{PZ7AMQKBA2Q6J4JZQJGQ7WF5VV}

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	2026-05-18T00:40:54.147885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7e06414106a1e4f139824d0fd8bdad79869875177733a64f2681f57e573b33

Aliases

arxiv: 1512.08416 · arxiv_version: 1512.08416v1 · doi: 10.48550/arxiv.1512.08416 · pith_short_12: PZ7AMQKBA2Q6 · pith_short_16: PZ7AMQKBA2Q6J4JZ · pith_short_8: PZ7AMQKB

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/PZ7AMQKBA2Q6J4JZQJGQ7WF5VV \
  | 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: 7e7e06414106a1e4f139824d0fd8bdad79869875177733a64f2681f57e573b33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11e6e55244fc23762fb7e48cbad79e825f3947b9daa762079552c0697baf9c2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-12-28T14:04:55Z",
    "title_canon_sha256": "8eea23d337f3948ed48918d0a84c05cb598dfd4ed7cdc01792b31ab5354891d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08416",
    "kind": "arxiv",
    "version": 1
  }
}