Pith Number

pith:GNJXYOLJ

pith:2010:GNJXYOLJNW7H2TIINIOVF4ZUGA

not attested not anchored not stored refs pending

On Approximate Electromagnetic Cloaking by Transformation Media

Hongyu Liu, Ting Zhou

arxiv:1009.4501 v1 · 2010-09-22 · math.AP · 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{GNJXYOLJNW7H2TIINIOVF4ZUGA}

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	2026-05-18T04:40:30.300640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33537c39696dbe7d4d086a1d52f334302d391c70c977ddfcba2857ee5257eee4

Aliases

arxiv: 1009.4501 · arxiv_version: 1009.4501v1 · doi: 10.48550/arxiv.1009.4501 · pith_short_12: GNJXYOLJNW7H · pith_short_16: GNJXYOLJNW7H2TII · pith_short_8: GNJXYOLJ

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/GNJXYOLJNW7H2TIINIOVF4ZUGA \
  | 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: 33537c39696dbe7d4d086a1d52f334302d391c70c977ddfcba2857ee5257eee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5537a71df460f0b38ecb22c4fbf4856d5a98eed0714268697daa619c918de0f4",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-22T23:38:30Z",
    "title_canon_sha256": "fc37a3176a54501a389442d721628c78f68d3d9c5e3d0e8bfede4a0d6db0d113"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4501",
    "kind": "arxiv",
    "version": 1
  }
}