Pith Number

pith:4PPUQQXJ

pith:2022:4PPUQQXJPF3QAFWI5MFE6NPZND

not attested not anchored not stored refs pending

Topological spin defects of light

Charles C. Wojcik, Haiwen Wang, Shanhui Fan

arxiv:2210.08694 v1 · 2022-10-17 · 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{4PPUQQXJPF3QAFWI5MFE6NPZND}

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	2026-07-05T05:07:13.791998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3df4842e979770016c8eb0a4f35f968c83105d7ff762fdf72aa1d28ef3c2a58

Aliases

arxiv: 2210.08694 · arxiv_version: 2210.08694v1 · doi: 10.48550/arxiv.2210.08694 · pith_short_12: 4PPUQQXJPF3Q · pith_short_16: 4PPUQQXJPF3QAFWI · pith_short_8: 4PPUQQXJ

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/4PPUQQXJPF3QAFWI5MFE6NPZND \
  | 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: e3df4842e979770016c8eb0a4f35f968c83105d7ff762fdf72aa1d28ef3c2a58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f1afef1737880d2bbd2a74607ec3854a59a0bcf5b930be8bff47ec2f666342",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2022-10-17T02:03:35Z",
    "title_canon_sha256": "af04ba4105392445237defff9b0e94962c3f97fc879f58e8951aed6be6282e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.08694",
    "kind": "arxiv",
    "version": 1
  }
}