Pith Number

pith:TRAMMRX7

pith:2012:TRAMMRX7B3RYFA7JRMAI4YFZI6

not attested not anchored not stored refs pending

The photonic wheel: demonstration of a state of light with purely transverse angular momentum

Andrea Aiello, Christoph Marquardt, Gerd Leuchs, Martin Neugebauer, Norbert Lindlein, Peter Banzer, Thomas Bauer

arxiv:1210.1772 v1 · 2012-10-05 · 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{TRAMMRX7B3RYFA7JRMAI4YFZI6}

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	2026-05-18T01:54:05.287812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c40c646ff0ee38283e98b008e60b947aca8b6a0b9ed422c8b4b291dfa701a1e

Aliases

arxiv: 1210.1772 · arxiv_version: 1210.1772v1 · doi: 10.48550/arxiv.1210.1772 · pith_short_12: TRAMMRX7B3RY · pith_short_16: TRAMMRX7B3RYFA7J · pith_short_8: TRAMMRX7

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/TRAMMRX7B3RYFA7JRMAI4YFZI6 \
  | 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: 9c40c646ff0ee38283e98b008e60b947aca8b6a0b9ed422c8b4b291dfa701a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "671805264d9ce7c81906ebaa56affafc25c9a50da54d7cec785acf0b85cc2679",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2012-10-05T14:34:09Z",
    "title_canon_sha256": "3a6c4e8b57e7458d48b01ada1bc761b0bd1b4619b37a119e1a5c465240d0effe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1772",
    "kind": "arxiv",
    "version": 1
  }
}