Pith Number

pith:V4RSXDPW

pith:2015:V4RSXDPW5PN5FRMFWJOAM2F3CF

not attested not anchored not stored refs pending

Divergence of optical vortex beams

Ali Anwar, Chithrabhanu P, J. Banerji, R. P. Singh, Salla Gangi Reddy, Shashi Prabhakar

arxiv:1505.05993 v1 · 2015-05-22 · 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{V4RSXDPW5PN5FRMFWJOAM2F3CF}

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	2026-05-18T02:03:49.441401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af232b8df6ebdbd2c585b25c0668bb1148998ee627d13dc7129dc4382c2e48fb

Aliases

arxiv: 1505.05993 · arxiv_version: 1505.05993v1 · doi: 10.48550/arxiv.1505.05993 · pith_short_12: V4RSXDPW5PN5 · pith_short_16: V4RSXDPW5PN5FRMF · pith_short_8: V4RSXDPW

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/V4RSXDPW5PN5FRMFWJOAM2F3CF \
  | 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: af232b8df6ebdbd2c585b25c0668bb1148998ee627d13dc7129dc4382c2e48fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c0212275717e4c2f52d688af720c106734a3fa9c878bfcdf63b2fce6df2387d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-05-22T08:57:41Z",
    "title_canon_sha256": "e8b83bea3781a5079087696c07feae627d6fc64f824dbf5871610c90d19caedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05993",
    "kind": "arxiv",
    "version": 1
  }
}