Pith Number

pith:P6FG7E5H

pith:2013:P6FG7E5HTRQCFA2H7HTPT5P2XN

not attested not anchored not stored refs pending

Higher order optical vortices and formation of speckles

Ashok Kumar, J. Banerji, R. P. Singh, Salla Gangi Reddy, Shashi Prabhakar

arxiv:1312.1093 v3 · 2013-12-04 · 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{P6FG7E5HTRQCFA2H7HTPT5P2XN}

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	2026-05-18T02:50:00.671074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f8a6f93a79c60228347f9e6f9f5fabb4b5bf138bfe15a37b796a56687b25223

Aliases

arxiv: 1312.1093 · arxiv_version: 1312.1093v3 · doi: 10.48550/arxiv.1312.1093 · pith_short_12: P6FG7E5HTRQC · pith_short_16: P6FG7E5HTRQCFA2H · pith_short_8: P6FG7E5H

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/P6FG7E5HTRQCFA2H7HTPT5P2XN \
  | 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: 7f8a6f93a79c60228347f9e6f9f5fabb4b5bf138bfe15a37b796a56687b25223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "388ac80a4c0dbc5d068ba1fbb59fe7d2963ec196e482cd3eacc5b9bfee6e551a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2013-12-04T10:11:38Z",
    "title_canon_sha256": "d753aa102e09a07a37b493b169be375ccd13b5c3b376d7888ae9fe483a79af6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1093",
    "kind": "arxiv",
    "version": 3
  }
}