Pith Number

pith:LUGPUIAN

pith:2019:LUGPUIANB46DIRAOUXIZMAR4K6

not attested not anchored not stored refs pending

Modal Majorana sphere and hidden symmetries of structured-Gaussian beams

A. N. Vamivakas, M. A. Alonso, R. Guti\'errez-Cuevas, S. A. Wadood

arxiv:1901.06987 v3 · 2019-01-21 · 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{LUGPUIANB46DIRAOUXIZMAR4K6}

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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.

Cited by

1 paper in Pith

Generalized Gaussian beams in terms of Jones vectors

Receipt and verification

First computed	2026-07-05T01:43:12.452016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d0cfa200d0f3c34440ea5d196023c57b7e299f6ff8d68a52ed680a8115d0adb

Aliases

arxiv: 1901.06987 · arxiv_version: 1901.06987v3 · doi: 10.48550/arxiv.1901.06987 · pith_short_12: LUGPUIANB46D · pith_short_16: LUGPUIANB46DIRAO · pith_short_8: LUGPUIAN

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/LUGPUIANB46DIRAOUXIZMAR4K6 \
  | 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: 5d0cfa200d0f3c34440ea5d196023c57b7e299f6ff8d68a52ed680a8115d0adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdc5ff0e62375ac4fe957dc202f5cfe47bb99914df74cb901c49ae840c1d8e18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-01-21T16:23:25Z",
    "title_canon_sha256": "41b14544458d4324cea2df8cbe0f8f4ec24b3bcb5c67e0f5ebf110b9a57e46c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06987",
    "kind": "arxiv",
    "version": 3
  }
}