Pith Number

pith:4ATX2OJ3

pith:2010:4ATX2OJ32Z4UPTZGZLR7EL3YNF

not attested not anchored not stored refs pending

Goos-Haenchen and Imbert-Fedorov shifts of a nondiffracting Bessel beam

Andrea Aiello, J. P. Woerdman

arxiv:1011.1336 v1 · 2010-11-05 · 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{4ATX2OJ32Z4UPTZGZLR7EL3YNF}

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	2026-05-18T02:04:52.586428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0277d393bd67947cf26cae3f22f78696ca4ba3bf2215f7060b79fb701f63cd1

Aliases

arxiv: 1011.1336 · arxiv_version: 1011.1336v1 · doi: 10.48550/arxiv.1011.1336 · pith_short_12: 4ATX2OJ32Z4U · pith_short_16: 4ATX2OJ32Z4UPTZG · pith_short_8: 4ATX2OJ3

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/4ATX2OJ32Z4UPTZGZLR7EL3YNF \
  | 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: e0277d393bd67947cf26cae3f22f78696ca4ba3bf2215f7060b79fb701f63cd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef34125be4ba0d9bfba72785296132688952c892afda98d2fc1199286b641038",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-11-05T07:57:47Z",
    "title_canon_sha256": "c593e988ff16fb0de20f45bcd76c7f6fcd7c872ff252d02440fb541a5022f9db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1336",
    "kind": "arxiv",
    "version": 1
  }
}