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Pith Number

pith:DWOXMGXL

pith:2014:DWOXMGXLLKQ4ANZYOBWVPHFGQD
not attested not anchored not stored refs pending

Maximal breaking of symmetry at critical angle and closed form expression for angular deviations of the Snell law

Manoel P. Ara\'ujo, Silv\^ania A. Carvalho, Stefano De Leo

arxiv:1410.5724 v1 · 2014-10-21 · physics.optics · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DWOXMGXLLKQ4ANZYOBWVPHFGQD}

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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 2026-05-18T01:41:41.459311Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1d9d761aeb5aa1c03738706d579ca680f139c0ca062a4662f83ba0bdf44a34fd

Aliases

arxiv: 1410.5724 · arxiv_version: 1410.5724v1 · doi: 10.48550/arxiv.1410.5724 · pith_short_12: DWOXMGXLLKQ4 · pith_short_16: DWOXMGXLLKQ4ANZY · pith_short_8: DWOXMGXL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DWOXMGXLLKQ4ANZYOBWVPHFGQD \
  | 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: 1d9d761aeb5aa1c03738706d579ca680f139c0ca062a4662f83ba0bdf44a34fd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ff48e3595bf7860da9fc64e8d24ba823d2960234fc0d5a1ba83c6fe9cced1a3a",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2014-10-21T16:07:49Z",
    "title_canon_sha256": "1020d33d71e0c385d603ffbe387214041e3b69125816e7880c158408a2678235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5724",
    "kind": "arxiv",
    "version": 1
  }
}