Pith Number

pith:SINAPFKK

pith:2020:SINAPFKKXOQDCOVEDAUFSOPAJ6

not attested not anchored not stored refs pending

Kelvin's Chirality of Optical Beams

Ebrahim Karimi, J\"org S. Eismann, Peter Banzer, Rasoul Alaee, Robert W. Boyd, Sergey Nechayev

arxiv:2012.09121 v1 · 2020-12-16 · 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{SINAPFKKXOQDCOVEDAUFSOPAJ6}

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	2026-07-05T02:21:41.049839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921a07954abba0313aa418285939e04fa4b404fabd0102f246d55beb2f9f3ae1

Aliases

arxiv: 2012.09121 · arxiv_version: 2012.09121v1 · doi: 10.48550/arxiv.2012.09121 · pith_short_12: SINAPFKKXOQD · pith_short_16: SINAPFKKXOQDCOVE · pith_short_8: SINAPFKK

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/SINAPFKKXOQDCOVEDAUFSOPAJ6 \
  | 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: 921a07954abba0313aa418285939e04fa4b404fabd0102f246d55beb2f9f3ae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87497c721a3ce1509df909f87010d323230738006160cbd998903be1c637264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2020-12-16T18:08:59Z",
    "title_canon_sha256": "6cef0a10162f833e2c2963b0fa512069c1b9eb3181c27583094df15ef46df685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.09121",
    "kind": "arxiv",
    "version": 1
  }
}