Pith Number

pith:VDMCFAJO

pith:2025:VDMCFAJOUH7MK4IPVGVCP7FWKK

not attested not anchored not stored refs pending

Correcting astigmatism and ellipticity in Gaussian beams using a cylindrical lens pair with tunable focal lengths

Alexandre Cooper, Anastasiia Mashko, Soroush Khoubyarian

arxiv:2506.22308 v1 · 2025-06-27 · physics.optics · cond-mat.quant-gas · physics.atom-ph · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDMCFAJOUH7MK4IPVGVCP7FWKK}

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	2026-07-05T11:28:24.940799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d822812ea1fec5710fa9aa27fcb65287cd3c014aff520c5331d79fe991c0cc

Aliases

arxiv: 2506.22308 · arxiv_version: 2506.22308v1 · doi: 10.48550/arxiv.2506.22308 · pith_short_12: VDMCFAJOUH7M · pith_short_16: VDMCFAJOUH7MK4IP · pith_short_8: VDMCFAJO

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/VDMCFAJOUH7MK4IPVGVCP7FWKK \
  | 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: a8d822812ea1fec5710fa9aa27fcb65287cd3c014aff520c5331d79fe991c0cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d89e232d098ebb6a2e0a4a0460af074511d2662bfb32127781b4db63360b58a",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "physics.atom-ph",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-06-27T15:19:27Z",
    "title_canon_sha256": "80d8c9e780c41ab30a5e97ed4e8d321a584212dae77dca78dcccf73d3a925f8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.22308",
    "kind": "arxiv",
    "version": 1
  }
}