Pith Number

pith:5QQJS2U2

pith:2016:5QQJS2U2NN3TSHCZBEVSBJF4OC

not attested not anchored not stored refs pending

On Spacetime Transformation Optics: Temporal and Spatial Dispersion

Jonathan Gratus, Martin W. McCall, Paul Kinsler, Robert T. Thompson

arxiv:1608.00496 v2 · 2016-08-01 · 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{5QQJS2U2NN3TSHCZBEVSBJF4OC}

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	2026-05-18T00:48:17.351811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec20996a9a6b77391c59092b20a4bc70bb6869c4c6bab15a5a9192adb953763f

Aliases

arxiv: 1608.00496 · arxiv_version: 1608.00496v2 · doi: 10.48550/arxiv.1608.00496 · pith_short_12: 5QQJS2U2NN3T · pith_short_16: 5QQJS2U2NN3TSHCZ · pith_short_8: 5QQJS2U2

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/5QQJS2U2NN3TSHCZBEVSBJF4OC \
  | 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: ec20996a9a6b77391c59092b20a4bc70bb6869c4c6bab15a5a9192adb953763f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ae0ace002b90704da5969794a4f488653b1e887fb7c09a3d484bc01c7873fa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-08-01T17:09:38Z",
    "title_canon_sha256": "b3e397bd590d5e5c8e3dca89f9f2e2216947e18c7e465f95d640073e0aff8dca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00496",
    "kind": "arxiv",
    "version": 2
  }
}