Pith Number

pith:Q2ZTX74I

pith:2016:Q2ZTX74IV5D2SNSDKCU3ZVBEZW

not attested not anchored not stored refs pending

Optical trapping by Laguerre-Gaussian beams: Symmetries, stability and equilibria

Alexei D. Kiselev, Dmytro O. Plutenko

arxiv:1605.00243 v2 · 2016-05-01 · 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{Q2ZTX74IV5D2SNSDKCU3ZVBEZW}

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	2026-05-18T01:15:33.839039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86b33bff88af47a9364350a9bcd424cd9702e49511d7af122d0e33b11577eae0

Aliases

arxiv: 1605.00243 · arxiv_version: 1605.00243v2 · doi: 10.48550/arxiv.1605.00243 · pith_short_12: Q2ZTX74IV5D2 · pith_short_16: Q2ZTX74IV5D2SNSD · pith_short_8: Q2ZTX74I

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/Q2ZTX74IV5D2SNSDKCU3ZVBEZW \
  | 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: 86b33bff88af47a9364350a9bcd424cd9702e49511d7af122d0e33b11577eae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4da34fadead66cd722dbb894804807d02b5959dadf8cba3bc96a41f07e2257a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-05-01T12:28:27Z",
    "title_canon_sha256": "761625b0f3931458336e277db51a2e3ba28cdbd57c524e8e7038aacf1b9e05fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00243",
    "kind": "arxiv",
    "version": 2
  }
}