Pith Number

pith:HL4SLM4N

pith:2018:HL4SLM4NB3FWV6TL7VXXIAZ2R5

not attested not anchored not stored refs pending

Relativistic vortex electrons: paraxial versus non-paraxial regimes

Dmitry Karlovets

arxiv:1803.10166 v3 · 2018-03-27 · quant-ph · hep-ph · 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{HL4SLM4NB3FWV6TL7VXXIAZ2R5}

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	2026-05-18T00:09:41.597959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3af925b38d0ecb6afa6bfd6f74033a8f6a2b88153af2e050dd781a9f5d137b8b

Aliases

arxiv: 1803.10166 · arxiv_version: 1803.10166v3 · doi: 10.48550/arxiv.1803.10166 · pith_short_12: HL4SLM4NB3FW · pith_short_16: HL4SLM4NB3FWV6TL · pith_short_8: HL4SLM4N

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/HL4SLM4NB3FWV6TL7VXXIAZ2R5 \
  | 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: 3af925b38d0ecb6afa6bfd6f74033a8f6a2b88153af2e050dd781a9f5d137b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "209cd5696d47f921827fadab6a50b80e5298bf7b73056a23d2348ed125bc6aee",
    "cross_cats_sorted": [
      "hep-ph",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-03-27T16:22:45Z",
    "title_canon_sha256": "c1b9ddff368c8d1152b124c31e25872fb4a1aa9d297b2a1181a75569a48afddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10166",
    "kind": "arxiv",
    "version": 3
  }
}