Pith Number

pith:4JPJOZM4

pith:2013:4JPJOZM45XRTPX4WO5FIQJFPEZ

not attested not anchored not stored refs pending

Negative refraction of inhomogeneous waves in lossy isotropic media

Takashi Nakajima, Vladimir Yu. Fedorov

arxiv:1305.6393 v4 · 2013-05-28 · 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{4JPJOZM45XRTPX4WO5FIQJFPEZ}

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	2026-05-18T02:58:46.108537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e25e97659cede337df96774a8824af265c3ca44e912bea1cb96c0e14b989440f

Aliases

arxiv: 1305.6393 · arxiv_version: 1305.6393v4 · doi: 10.48550/arxiv.1305.6393 · pith_short_12: 4JPJOZM45XRT · pith_short_16: 4JPJOZM45XRTPX4W · pith_short_8: 4JPJOZM4

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/4JPJOZM45XRTPX4WO5FIQJFPEZ \
  | 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: e25e97659cede337df96774a8824af265c3ca44e912bea1cb96c0e14b989440f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b19fcb1a9b38567648b3a75fcced96e36b2c2a397f607acc7151682a023ac72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-05-28T07:41:24Z",
    "title_canon_sha256": "b6510a66993f95777a58b0d2f18219f69f74fd0d91229a8ad57b417cb0ccb4d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6393",
    "kind": "arxiv",
    "version": 4
  }
}