Pith Number

pith:ZM7FTJ4X

pith:2016:ZM7FTJ4XLGLIMKBM53VBZ5CNCA

not attested not anchored not stored refs pending

Formation of high-order acoustic Bessel beams by spiral diffraction gratings

Kestutis Staliunas, Lluis M. Garc\'ia-Raffi, No\'e Jim\'enez, Rub\'en Pic\'o, Vicent Romero-Garc\'ia, V\'ictor S\'anchez-Morcillo

arxiv:1604.08353 v1 · 2016-04-28 · physics.class-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZM7FTJ4XLGLIMKBM53VBZ5CNCA}

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	2026-05-18T00:54:36.739530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb3e59a797599686282ceeea1cf44d103a9f8ce1621e48754799a5c40bbdd3b4

Aliases

arxiv: 1604.08353 · arxiv_version: 1604.08353v1 · doi: 10.48550/arxiv.1604.08353 · pith_short_12: ZM7FTJ4XLGLI · pith_short_16: ZM7FTJ4XLGLIMKBM · pith_short_8: ZM7FTJ4X

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/ZM7FTJ4XLGLIMKBM53VBZ5CNCA \
  | 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: cb3e59a797599686282ceeea1cf44d103a9f8ce1621e48754799a5c40bbdd3b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf085ab7a708fd1cf3ec175a7786860c7da6e95f866fb3a1f18f7ec5e0ad733",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2016-04-28T09:12:52Z",
    "title_canon_sha256": "79d46317aa8453aa2e4322434614f18b13a08e0fe0f307797c92bbd186cc8f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08353",
    "kind": "arxiv",
    "version": 1
  }
}