Pith Number

pith:SBPKLDWU

pith:2025:SBPKLDWUKROQ6KYDETSHB5RLQD

not attested not anchored not stored refs pending

Transformation of topological optical states via spiral modulation in fractional-diffraction systems

Boris A. Malomed, Dongdong Wang, Dumitru Mihalache, Pengfei Li, Rujiang Li, Xueqing He

arxiv:2508.20651 v1 · 2025-08-28 · 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{SBPKLDWUKROQ6KYDETSHB5RLQD}

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	2026-07-05T12:00:56.956375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

905ea58ed4545d0f2b0324e470f62b80d2ae592f4cd7a9b79a7295c2b36abfce

Aliases

arxiv: 2508.20651 · arxiv_version: 2508.20651v1 · doi: 10.48550/arxiv.2508.20651 · pith_short_12: SBPKLDWUKROQ · pith_short_16: SBPKLDWUKROQ6KYD · pith_short_8: SBPKLDWU

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/SBPKLDWUKROQ6KYDETSHB5RLQD \
  | 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: 905ea58ed4545d0f2b0324e470f62b80d2ae592f4cd7a9b79a7295c2b36abfce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d95aca46ce597bab0dbbaf25340fb8aa3794cce50f2d11c0325e21e927ef98",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-08-28T10:54:04Z",
    "title_canon_sha256": "c89057e4cc995654bfff0f5ef465de7fa58ca04fa5aff98984314f3dfa977e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20651",
    "kind": "arxiv",
    "version": 1
  }
}