Pith Number

pith:ZXJLPBJU

pith:2025:ZXJLPBJUT4P4ROGAQXKTG4NJDS

not attested not anchored not stored refs pending

Arithmetic with spatiotemporal optical vortex of integer and fractional topological charges

Chen-Ting Liao, Hsiao-Chih Huang, Hui Min Leung

arxiv:2512.25049 v2 · 2025-12-31 · physics.optics · physics.data-an

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXJLPBJUT4P4ROGAQXKTG4NJDS}

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	2026-06-12T01:08:20.271886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdd2b785349f1fc8b8c085d53371a91cb687b17276beda6ae9cc1e416e88dddb

Aliases

arxiv: 2512.25049 · arxiv_version: 2512.25049v2 · doi: 10.48550/arxiv.2512.25049 · pith_short_12: ZXJLPBJUT4P4 · pith_short_16: ZXJLPBJUT4P4ROGA · pith_short_8: ZXJLPBJU

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/ZXJLPBJUT4P4ROGAQXKTG4NJDS \
  | 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: cdd2b785349f1fc8b8c085d53371a91cb687b17276beda6ae9cc1e416e88dddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "582b70d72cb80828c2aedd1a413090d4011836f483cd1af6aceb615fe86ee23a",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-12-31T18:47:27Z",
    "title_canon_sha256": "34870415dab39fcefe54a149c86e92be29705f912e99b86b1acb44c3411a9489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.25049",
    "kind": "arxiv",
    "version": 2
  }
}