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Pith Number

pith:OXN5YW7I

pith:2018:OXN5YW7I3H6YYSVSVCTQRNU7S3
not attested not anchored not stored refs pending

Symmetry in optics and photonics: a group theory approach

B. M. Rodr\'iguez-Lara, Julio Guerrero, Ramy El-Ganainy

arxiv:1803.00121 v1 · 2018-02-28 · physics.optics

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OXN5YW7I3H6YYSVSVCTQRNU7S3}

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 2026-05-18T00:22:13.298074Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

75dbdc5be8d9fd8c4ab2a8a708b69f96df1bb9fe1a5b3306d32ec0ef066e8053

Aliases

arxiv: 1803.00121 · arxiv_version: 1803.00121v1 · doi: 10.48550/arxiv.1803.00121 · pith_short_12: OXN5YW7I3H6Y · pith_short_16: OXN5YW7I3H6YYSVS · pith_short_8: OXN5YW7I
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OXN5YW7I3H6YYSVSVCTQRNU7S3 \
  | 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: 75dbdc5be8d9fd8c4ab2a8a708b69f96df1bb9fe1a5b3306d32ec0ef066e8053
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f528f214c101110209ff28e116e4bdcc7d24dd7a50393a3a1434ffff6db45edf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-02-28T22:37:23Z",
    "title_canon_sha256": "5a5c6e11d3fc237fcf093b9fc8b5d5cbeb0514d0ab37336b02d23bdfb3a8f9b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00121",
    "kind": "arxiv",
    "version": 1
  }
}