Pith Number

pith:JFZPY4ZD

pith:2013:JFZPY4ZDARXEHGS5DHE6CALEZV

not attested not anchored not stored refs pending

All-angle collimation of incident light in $\mathbf{\mu}$-near-zero metamaterials

Takashi Nakajima, Vladimir Yu. Fedorov

arxiv:1305.6665 v3 · 2013-05-29 · 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{JFZPY4ZDARXEHGS5DHE6CALEZV}

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	2026-05-18T03:07:54.668400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4972fc7323046e439a5d19c9e10164cd7a1fd126eb9c38a8bd6b741591c5699f

Aliases

arxiv: 1305.6665 · arxiv_version: 1305.6665v3 · doi: 10.48550/arxiv.1305.6665 · pith_short_12: JFZPY4ZDARXE · pith_short_16: JFZPY4ZDARXEHGS5 · pith_short_8: JFZPY4ZD

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/JFZPY4ZDARXEHGS5DHE6CALEZV \
  | 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: 4972fc7323046e439a5d19c9e10164cd7a1fd126eb9c38a8bd6b741591c5699f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e33f021aa975e0c49a1b8e6598cd45648923a6fc6e845e81af6c2c58f75d7179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-05-29T00:30:12Z",
    "title_canon_sha256": "e8e8c699e731313054b3a9697eb7941de7b7b3aade0f804e24f2c0c46ab71767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6665",
    "kind": "arxiv",
    "version": 3
  }
}