Pith Number

pith:HWGQWEYN

pith:2018:HWGQWEYNHV2L3B7ARVG3THNM7O

not attested not anchored not stored refs pending

Hybrid topological evolution of multi-singularity vortex beams: Generalized nature for helical-Ince-Gaussian and Hermite-Laguerre-Gaussian modes

Mali Gong, Xing Fu, Yijie Shen, Yuan Meng

arxiv:1811.01937 v1 · 2018-11-05 · 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{HWGQWEYNHV2L3B7ARVG3THNM7O}

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	2026-05-17T23:50:11.595296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d8d0b130d3d74bd87e08d4db99dacfb8287f86e465ce769cd9f096b99b7040a

Aliases

arxiv: 1811.01937 · arxiv_version: 1811.01937v1 · doi: 10.48550/arxiv.1811.01937 · pith_short_12: HWGQWEYNHV2L · pith_short_16: HWGQWEYNHV2L3B7A · pith_short_8: HWGQWEYN

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/HWGQWEYNHV2L3B7ARVG3THNM7O \
  | 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: 3d8d0b130d3d74bd87e08d4db99dacfb8287f86e465ce769cd9f096b99b7040a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75643429b569c5e26601e5129cdf1c3067180e81a21441c60f114d9224bcde9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-11-05T08:29:25Z",
    "title_canon_sha256": "4349b9baa82b72e2199c1b249cc6e18fc64cefbf934ed069abdb71d093474e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01937",
    "kind": "arxiv",
    "version": 1
  }
}