Pith Number

pith:XNC3BFJB

pith:2020:XNC3BFJBTTYCIP5TA5PMMRFDU4

not attested not anchored not stored refs pending

Influence of oceanic turbulence on propagation of autofocusing Airy beam with power exponential phase vortex

Junzhe Wang, Shengmei Zhao, Xinguang Wang

arxiv:2005.07192 v1 · 2020-05-14 · physics.optics · eess.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNC3BFJBTTYCIP5TA5PMMRFDU4}

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	2026-07-05T01:03:00.286588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb45b095219cf0243fb3075ec644a3a72dd9447ec9d014bc54339426164a62eb

Aliases

arxiv: 2005.07192 · arxiv_version: 2005.07192v1 · doi: 10.48550/arxiv.2005.07192 · pith_short_12: XNC3BFJBTTYC · pith_short_16: XNC3BFJBTTYCIP5T · pith_short_8: XNC3BFJB

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/XNC3BFJBTTYCIP5TA5PMMRFDU4 \
  | 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: bb45b095219cf0243fb3075ec644a3a72dd9447ec9d014bc54339426164a62eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44a18e553504c077d49c26e913d85d62f585afb894bb5054fd2e06487df1801d",
    "cross_cats_sorted": [
      "eess.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2020-05-14T02:55:25Z",
    "title_canon_sha256": "493f59eac3365feda14be0dcb0ef15608b99703adfc17f26220348547d4a6441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.07192",
    "kind": "arxiv",
    "version": 1
  }
}