Pith Number

pith:3273BQBF

pith:2019:3273BQBFPKDMFLNOSPICR22KDJ

not attested not anchored not stored refs pending

Vectorial vortex generation and phase singularities upon Brewster reflection

Abdullah Butt, Gerd Leuchs, Peter Banzer, Ren\'e Barczyk, Sergey Nechayev

arxiv:1901.04397 v1 · 2019-01-14 · 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{3273BQBFPKDMFLNOSPICR22KDJ}

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	2026-05-17T23:42:24.694372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

debfb0c0257a86c2adae93d028eb4a1a41cd053f9bbbf7bada39c15f0f2f85d0

Aliases

arxiv: 1901.04397 · arxiv_version: 1901.04397v1 · doi: 10.48550/arxiv.1901.04397 · pith_short_12: 3273BQBFPKDM · pith_short_16: 3273BQBFPKDMFLNO · pith_short_8: 3273BQBF

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/3273BQBFPKDMFLNOSPICR22KDJ \
  | 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: debfb0c0257a86c2adae93d028eb4a1a41cd053f9bbbf7bada39c15f0f2f85d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfa83974b3b8eed84e04c6fe897eb2195dd594af1c4a3bc31e01339373227e4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-01-14T16:55:22Z",
    "title_canon_sha256": "77db6044815a3375278203970eb33d2a1eb738140cd17ea9453f7536f659a6af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04397",
    "kind": "arxiv",
    "version": 1
  }
}