Pith Number

pith:YV2EBSK2

pith:2021:YV2EBSK2QYYUBKUSGK2OEHD23T

not attested not anchored not stored refs pending

Propagation-invariant vortex Airy beam whose singular point follows its main lobe

Keisaku Yamane, Masato Suzuki, Ryuji Morita, Takashige Omatsu

arxiv:2107.01812 v1 · 2021-07-05 · 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{YV2EBSK2QYYUBKUSGK2OEHD23T}

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	2026-07-05T06:20:16.357665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c57440c95a863140aa9232b4e21c7adcc2997452078b8580bd623007bfb3d93a

Aliases

arxiv: 2107.01812 · arxiv_version: 2107.01812v1 · doi: 10.48550/arxiv.2107.01812 · pith_short_12: YV2EBSK2QYYU · pith_short_16: YV2EBSK2QYYUBKUS · pith_short_8: YV2EBSK2

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/YV2EBSK2QYYUBKUSGK2OEHD23T \
  | 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: c57440c95a863140aa9232b4e21c7adcc2997452078b8580bd623007bfb3d93a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed63a5007febfbfda83fae6f0d1768014602f8aa17941be65de55433eb83642",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-07-05T06:33:33Z",
    "title_canon_sha256": "87314c2f6836f6c34afbe87dfa333eea9ec83a63ced7b27cc3a594f121e5aebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01812",
    "kind": "arxiv",
    "version": 1
  }
}