Pith Number

pith:PEIF7PO5

pith:2016:PEIF7PO5J6BBHQ5ZVEIG7X6P42

not attested not anchored not stored refs pending

A general theorem on the divergence of vortex beams

E. Mari, F. Spinello, F. Tamburini, G. Parisi, G. Vallone, P. Villoresi

arxiv:1601.02350 v2 · 2016-01-11 · quant-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{PEIF7PO5J6BBHQ5ZVEIG7X6P42}

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	2026-05-18T01:10:07.597155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79105fbddd4f8213c3b9a9106fdfcfe682cfb3126f57768a57632aa557cce6ea

Aliases

arxiv: 1601.02350 · arxiv_version: 1601.02350v2 · doi: 10.48550/arxiv.1601.02350 · pith_short_12: PEIF7PO5J6BB · pith_short_16: PEIF7PO5J6BBHQ5Z · pith_short_8: PEIF7PO5

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/PEIF7PO5J6BBHQ5ZVEIG7X6P42 \
  | 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: 79105fbddd4f8213c3b9a9106fdfcfe682cfb3126f57768a57632aa557cce6ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6684d6e0d12e3ec147bd6284f623cd9e7eb1e2ac1c437ff174b4e841264981ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-01-11T07:54:08Z",
    "title_canon_sha256": "2ff52c1cdabce1e14efd44119fdf8f94c360f8043a4df150b8a9d3ec97456159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02350",
    "kind": "arxiv",
    "version": 2
  }
}