Pith Number

pith:6W4MAXYI

pith:2012:6W4MAXYIWYYXFREYLQRGBAMJBJ

not attested not anchored not stored refs pending

Goos-H\"{a}nchen and Imbert-Fedorov Shifts of Vortex Beams at Air-Left-Handed Material Interfaces

Hailu Luo, Shuangchun Wen, Zhicheng Xiao

arxiv:1204.5818 v1 · 2012-04-26 · 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{6W4MAXYIWYYXFREYLQRGBAMJBJ}

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	2026-05-18T03:56:59.455773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5b8c05f08b63172c4985c226081890a55ee13a34a3f3e92854bacd2a89ac3e0

Aliases

arxiv: 1204.5818 · arxiv_version: 1204.5818v1 · doi: 10.48550/arxiv.1204.5818 · pith_short_12: 6W4MAXYIWYYX · pith_short_16: 6W4MAXYIWYYXFREY · pith_short_8: 6W4MAXYI

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/6W4MAXYIWYYXFREYLQRGBAMJBJ \
  | 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: f5b8c05f08b63172c4985c226081890a55ee13a34a3f3e92854bacd2a89ac3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2381b62d3e42a088bcb0085829f811ed65bd9422fa4cbc347ed7aef27f44a8f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-04-26T02:57:41Z",
    "title_canon_sha256": "b2cfcb765601098ecd72ce3aa9a83987f0fc1b50f5801b7ae1f31340e9926028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5818",
    "kind": "arxiv",
    "version": 1
  }
}