Pith Number

pith:L2IKPI2F

pith:2016:L2IKPI2F7VPKTMHWDFSKEIP5TB

not attested not anchored not stored refs pending

Controllable circular Airy beams via dynamic linear potential

Changbiao Li, Feng Wen, Hua Zhong, Milivoj R. Beli\'c, Yanpeng Zhang, Yiqi Zhang, Zhaoyang Zhang

arxiv:1603.08349 v1 · 2016-03-28 · 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{L2IKPI2F7VPKTMHWDFSKEIP5TB}

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	2026-05-18T01:17:07.295852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e90a7a345fd5ea9b0f61964a221fd9858c8e2eaf27caa89fb4bf6886db5caa6

Aliases

arxiv: 1603.08349 · arxiv_version: 1603.08349v1 · doi: 10.48550/arxiv.1603.08349 · pith_short_12: L2IKPI2F7VPK · pith_short_16: L2IKPI2F7VPKTMHW · pith_short_8: L2IKPI2F

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/L2IKPI2F7VPKTMHWDFSKEIP5TB \
  | 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: 5e90a7a345fd5ea9b0f61964a221fd9858c8e2eaf27caa89fb4bf6886db5caa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e748ba6d20af543a4a73d8b573351a48544580e3e52667ce613aaedf7f07c1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-03-28T09:22:11Z",
    "title_canon_sha256": "5d20fa0b559896a6893e7d6e9cc5396e0209d0003f4a6b1391d332d05b852be9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08349",
    "kind": "arxiv",
    "version": 1
  }
}