Pith Number

pith:36A5GTXE

pith:2012:36A5GTXEAJK4DIR6CZWIZC3UEX

not attested not anchored not stored refs pending

A diameter--bandwidth product limitation of isolated-object cloaking

Alexander P. McCauley, Cheng Wei Qiu, Hila Hashemi, J. D. Joannopoulos, Steven G. Johnson

arxiv:1203.2190 v1 · 2012-03-09 · physics.optics · physics.pop-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36A5GTXEAJK4DIR6CZWIZC3UEX}

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	2026-05-18T03:45:21.050392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df81d34ee40255c1a23e166c8c8b7425f09aa322673956f7f10090f0f8b75358

Aliases

arxiv: 1203.2190 · arxiv_version: 1203.2190v1 · doi: 10.48550/arxiv.1203.2190 · pith_short_12: 36A5GTXEAJK4 · pith_short_16: 36A5GTXEAJK4DIR6 · pith_short_8: 36A5GTXE

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/36A5GTXEAJK4DIR6CZWIZC3UEX \
  | 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: df81d34ee40255c1a23e166c8c8b7425f09aa322673956f7f10090f0f8b75358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb5b983eb51afa9850f1c9b69ab9d2fa2ea48dd3a467b141151dfc06b4ada04",
    "cross_cats_sorted": [
      "physics.pop-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-03-09T21:37:07Z",
    "title_canon_sha256": "3a1497648399f31ffa1eac2ece4e013e2826983cf672cecf1ac6b5f65319f4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2190",
    "kind": "arxiv",
    "version": 1
  }
}