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Pith Number

pith:3BGEPUAD

pith:2015:3BGEPUADGR76CYSHKP4A7JM2UM
not attested not anchored not stored refs pending

Goos-H\"anchen and Imbert-Fedorov shifts for astigmatic Gaussian beams

Andrea Aiello, Marco Ornigotti

arxiv:1502.00469 v2 · 2015-02-02 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3BGEPUADGR76CYSHKP4A7JM2UM}

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 2026-05-18T02:21:51.313891Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d84c47d003347fe1624753f80fa59aa310b76d40af478bd8d4806b02be2d5528

Aliases

arxiv: 1502.00469 · arxiv_version: 1502.00469v2 · doi: 10.48550/arxiv.1502.00469 · pith_short_12: 3BGEPUADGR76 · pith_short_16: 3BGEPUADGR76CYSH · pith_short_8: 3BGEPUAD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3BGEPUADGR76CYSHKP4A7JM2UM \
  | 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: d84c47d003347fe1624753f80fa59aa310b76d40af478bd8d4806b02be2d5528
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "658316d2f5e5960a894f1229482e6833b9c417d9ddb24d21356fdc6858f1da7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-02-02T13:27:33Z",
    "title_canon_sha256": "e92fd5409e749df0be1cee9aefa716f2136d136b889e4ad701c1aacb9daf22be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00469",
    "kind": "arxiv",
    "version": 2
  }
}