Pith Number

pith:4PKLDR2C

pith:2020:4PKLDR2CFD7PHZLIGYNN42MQ2R

not attested not anchored not stored refs pending

Generalized Perfect Optical Vortex along Arbitrary Trajectories

Guangrui Ding, Kun Huang, Liqun He, Rongde Lu, Tingchang Wang, Yue Chen, Yuxuan Ren, Zhaoxiang Fang

arxiv:2007.14173 v1 · 2020-07-28 · 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{4PKLDR2CFD7PHZLIGYNN42MQ2R}

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	2026-07-05T01:22:56.060193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d4b1c74228fef3e568361ade6990d453696124e52e963435afb6343a13e7fa

Aliases

arxiv: 2007.14173 · arxiv_version: 2007.14173v1 · doi: 10.48550/arxiv.2007.14173 · pith_short_12: 4PKLDR2CFD7P · pith_short_16: 4PKLDR2CFD7PHZLI · pith_short_8: 4PKLDR2C

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/4PKLDR2CFD7PHZLIGYNN42MQ2R \
  | 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: e3d4b1c74228fef3e568361ade6990d453696124e52e963435afb6343a13e7fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7014b41b4c7796641e5887cc8f61175d4ec2aaa16f06dfa0b6db8bd4933bd9a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2020-07-28T12:49:38Z",
    "title_canon_sha256": "0ef692d4708b0870bd7386e71e068c4270f76e3e3bd99da81a019958018cd009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.14173",
    "kind": "arxiv",
    "version": 1
  }
}