Pith Number

pith:7QQLR4NR

pith:2010:7QQLR4NROAHP5WDARGXXBIV3RH

not attested not anchored not stored refs pending

Macroscopic Invisibility Cloak for Visible Light

Baile Zhang, George Barbastathis, Xiaogang Liu, Yuan Luo

arxiv:1012.2238 v3 · 2010-12-10 · 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{7QQLR4NROAHP5WDARGXXBIV3RH}

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	2026-05-18T03:23:36.346950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc20b8f1b1700efed86089af70a2bb89f7244dc76cc70f546f89e054a0ca9597

Aliases

arxiv: 1012.2238 · arxiv_version: 1012.2238v3 · doi: 10.48550/arxiv.1012.2238 · pith_short_12: 7QQLR4NROAHP · pith_short_16: 7QQLR4NROAHP5WDA · pith_short_8: 7QQLR4NR

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/7QQLR4NROAHP5WDARGXXBIV3RH \
  | 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: fc20b8f1b1700efed86089af70a2bb89f7244dc76cc70f546f89e054a0ca9597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "876b223f21e69b8eef29575930826c0bf8ac43db8ca3ad101d889c588d62d05d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-12-10T11:42:02Z",
    "title_canon_sha256": "15350cd5e4e2fb7053a0a27968da5b6cd9dc5578ba942c612819e3a311e0b87a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2238",
    "kind": "arxiv",
    "version": 3
  }
}