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Pith Number

pith:UE35FAB2

pith:2015:UE35FAB2NQPFRDPDBLETQA2DAS
not attested not anchored not stored refs pending

Propagation dynamics of a light beam in fractional Schr\"odinger equation

Milivoj R. Beli\'c, Min Xiao, Weiping Zhong, Xing Liu, Yanpeng Zhang, Yiqi Zhang

arxiv:1510.05806 v1 · 2015-10-20 · physics.optics · 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{UE35FAB2NQPFRDPDBLETQA2DAS}

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 2026-05-18T01:28:37.645347Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a137d2803a6c1e588de30ac93803430492d0bcda9493415564a172e7926f3017

Aliases

arxiv: 1510.05806 · arxiv_version: 1510.05806v1 · doi: 10.48550/arxiv.1510.05806 · pith_short_12: UE35FAB2NQPF · pith_short_16: UE35FAB2NQPFRDPD · pith_short_8: UE35FAB2
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/UE35FAB2NQPFRDPDBLETQA2DAS \
  | 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: a137d2803a6c1e588de30ac93803430492d0bcda9493415564a172e7926f3017
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "0a64e2bf412db219dd3b587f9339b321ab27a5c8f10ed10eaa093523d62d77d4",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-10-20T09:37:25Z",
    "title_canon_sha256": "c2a7d1cc95ee76012bea99bc415a6732e8250f04588967d44745a36682716204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05806",
    "kind": "arxiv",
    "version": 1
  }
}