Pith Number

pith:MMQHH7QK

pith:2016:MMQHH7QKGD3FDE7MZPVDMXICWY

not attested not anchored not stored refs pending

Robust and adjustable C-shaped vortex beams

G. Thirunavukkarasu, J. Yuan, M. Babiker, M. Mousley

arxiv:1607.00828 v1 · 2016-07-04 · 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{MMQHH7QKGD3FDE7MZPVDMXICWY}

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	2026-05-18T00:41:41.613932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632073fe0a30f65193eccbea365d02b624e7600be6007248b7cd99bfb19e7363

Aliases

arxiv: 1607.00828 · arxiv_version: 1607.00828v1 · doi: 10.48550/arxiv.1607.00828 · pith_short_12: MMQHH7QKGD3F · pith_short_16: MMQHH7QKGD3FDE7M · pith_short_8: MMQHH7QK

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/MMQHH7QKGD3FDE7MZPVDMXICWY \
  | 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: 632073fe0a30f65193eccbea365d02b624e7600be6007248b7cd99bfb19e7363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f695ee45faa60d7fdc28f986874dfb1937b56413b01e6fdcf972e53da4404216",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2016-07-04T11:39:17Z",
    "title_canon_sha256": "1289c76ad847322d46709bcced66f81e1471d47d2b4a1e9b93cb0723069e73c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00828",
    "kind": "arxiv",
    "version": 1
  }
}