Pith Number

pith:453CZMXM

pith:2011:453CZMXMJK2THPWIF7F2P2LV7J

not attested not anchored not stored refs pending

Analytical form of light-ray tracing in invisibility cloaks

Mo-Lin Ge, Qing Zhao, Ruo-Yang Zhang

arxiv:1109.5133 v1 · 2011-09-23 · 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{453CZMXMJK2THPWIF7F2P2LV7J}

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	2026-05-18T04:12:21.647255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7762cb2ec4ab533bec82fcba7e975fa6993106a4cd2f2fa576542e4cfd8e0b6

Aliases

arxiv: 1109.5133 · arxiv_version: 1109.5133v1 · doi: 10.48550/arxiv.1109.5133 · pith_short_12: 453CZMXMJK2T · pith_short_16: 453CZMXMJK2THPWI · pith_short_8: 453CZMXM

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/453CZMXMJK2THPWIF7F2P2LV7J \
  | 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: e7762cb2ec4ab533bec82fcba7e975fa6993106a4cd2f2fa576542e4cfd8e0b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da99edef1a08147e8b02bd6ed5fa8ca6f1787f38cb6ea686108d1aca4f825308",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-09-23T17:12:06Z",
    "title_canon_sha256": "149d48f06b575510ce51b1ac37bae38915e2557a4a76f130bde4150b7c2e99aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5133",
    "kind": "arxiv",
    "version": 1
  }
}