Pith Number

pith:XWCE3JP4

pith:2021:XWCE3JP4IM2YKZWXDRN555PD4E

not attested not anchored not stored refs pending

Efficient sorting of orbital-angular-momentum states with large topological charges and their unknown superpositions via machine learning

Dan-Wei Zhang, Hui Yan, Jia-Zhen Li, Ling-Feng Zhang, Shi-Liang Zhu, Wei Huang, Ya-Yi Lin, Zhen-Yue She, Zhi-Hao Huang

arxiv:2105.13621 v1 · 2021-05-28 · physics.optics · cond-mat.dis-nn · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWCE3JP4IM2YKZWXDRN555PD4E}

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	2026-07-05T03:36:04.600116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd844da5fc43358566d71c5bdef5e3e13a01310429b271a98c52818f01ba2067

Aliases

arxiv: 2105.13621 · arxiv_version: 2105.13621v1 · doi: 10.48550/arxiv.2105.13621 · pith_short_12: XWCE3JP4IM2Y · pith_short_16: XWCE3JP4IM2YKZWX · pith_short_8: XWCE3JP4

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/XWCE3JP4IM2YKZWXDRN555PD4E \
  | 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: bd844da5fc43358566d71c5bdef5e3e13a01310429b271a98c52818f01ba2067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159e53899a86a31313131195cce674066a76b24064f9cb4d2248281816d69733",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2021-05-28T06:56:46Z",
    "title_canon_sha256": "eb1a1f07f73d14713cc3558023f83dd27294cdef4c50371de5ff32099ec5f106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.13621",
    "kind": "arxiv",
    "version": 1
  }
}