Pith Number

pith:RBNZHWF6

pith:2017:RBNZHWF6IMV2GANAUMXNQLOV2G

not attested not anchored not stored refs pending

Using a Complex Optical Orbital-Angular-Momentum Spectrum to Measure Object Parameters: A Spatial Domain Approach

Alan E. Willner, Changjing Bao, Cong Liu, Dmitry Starodubov, Giovanni Milione, Guodong Xie, Haoqian Song, Kai Pang, Long Li, Moshe Tur, Runzhou Zhang, Yongxiong Ren, Zhe Wang, Zhe Zhao

arxiv:1705.09051 v1 · 2017-05-25 · 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{RBNZHWF6IMV2GANAUMXNQLOV2G}

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	2026-05-18T00:30:04.204338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

885b93d8be432ba301a0a32ed82dd5d1942d7209ddca9e0f4a20d144d55d4a22

Aliases

arxiv: 1705.09051 · arxiv_version: 1705.09051v1 · doi: 10.48550/arxiv.1705.09051 · pith_short_12: RBNZHWF6IMV2 · pith_short_16: RBNZHWF6IMV2GANA · pith_short_8: RBNZHWF6

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/RBNZHWF6IMV2GANAUMXNQLOV2G \
  | 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: 885b93d8be432ba301a0a32ed82dd5d1942d7209ddca9e0f4a20d144d55d4a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54886805789f201239f5b937e849a189225d5d78e00c0eced3c90e4b6a9af9ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2017-05-25T05:32:04Z",
    "title_canon_sha256": "bc40a1bca0f7fa31d36611016a73b8cf96b0a6c22aeeaac9e1c570cd74e349ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09051",
    "kind": "arxiv",
    "version": 1
  }
}