Pith Number

pith:JBYOXSEI

pith:2016:JBYOXSEIRF3HKCBGZGCMPFRMUY

not attested not anchored not stored refs pending

Spatial Phase and Amplitude Structuring of Beams Using a Combination of Multiple Orthogonal Spatial Functions with Complex Coefficients

Ahmed Almaiman, Alan E. Willner, Asher J. Willner, Changjing Bao, Cong Liu, Guodong Xie, Long Li, Morteza Ziyadi, Moshe Tur, Nisar Ahmed, Solyman Ashrafi, Yan Yan, Yinwen Cao, Yongxiong Ren, Zhe Wang, Zhe Zhao

arxiv:1605.08842 v1 · 2016-05-28 · 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{JBYOXSEIRF3HKCBGZGCMPFRMUY}

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	2026-05-18T01:13:22.945808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4870ebc8888976750826c984c7962ca605079ab50f12c7a8e7b8249c5933ddda

Aliases

arxiv: 1605.08842 · arxiv_version: 1605.08842v1 · doi: 10.48550/arxiv.1605.08842 · pith_short_12: JBYOXSEIRF3H · pith_short_16: JBYOXSEIRF3HKCBG · pith_short_8: JBYOXSEI

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/JBYOXSEIRF3HKCBGZGCMPFRMUY \
  | 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: 4870ebc8888976750826c984c7962ca605079ab50f12c7a8e7b8249c5933ddda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46ba1bd04a0209e3190ce1cb395be70d83ac221f50f4db664d88599ba0e17883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-05-28T04:11:01Z",
    "title_canon_sha256": "08d44e2b0eb90818f5d58ea00ea7d61d5e9c6a9e7a9a9970454ba2939fb56195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08842",
    "kind": "arxiv",
    "version": 1
  }
}