Pith Number

pith:4UYHXROR

pith:2015:4UYHXRORSSFOAGBDZSATPMWK7I

not attested not anchored not stored refs pending

On-chip generation and control of the vortex beam

Aiping Liu, Chang-Ling Zou, Guang-Can Guo, Qin Wang, Xifeng Ren

arxiv:1509.08646 v1 · 2015-09-29 · 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{4UYHXRORSSFOAGBDZSATPMWK7I}

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	2026-05-18T01:14:44.938700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5307bc5d1948ae01823cc8137b2cafa377456b731f73206fe6bb013cde039ce

Aliases

arxiv: 1509.08646 · arxiv_version: 1509.08646v1 · doi: 10.48550/arxiv.1509.08646 · pith_short_12: 4UYHXRORSSFO · pith_short_16: 4UYHXRORSSFOAGBD · pith_short_8: 4UYHXROR

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/4UYHXRORSSFOAGBDZSATPMWK7I \
  | 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: e5307bc5d1948ae01823cc8137b2cafa377456b731f73206fe6bb013cde039ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07dfe998d1d88c0a3d53b81fc0b39f53b60737af63ac5f45e0cef9a738778ee2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-09-29T09:00:38Z",
    "title_canon_sha256": "17259df599c36b0287de2703b0e61333ae7dc0c949c6964ae2746adf2cd5c277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08646",
    "kind": "arxiv",
    "version": 1
  }
}