Pith Number

pith:GI453UGT

pith:2015:GI453UGTHBBJWL3JBA5QT3PFY5

not attested not anchored not stored refs pending

Fractional Schr\"{o}dinger equation in optics

Stefano Longhi

arxiv:1501.02061 v1 · 2015-01-09 · quant-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GI453UGTHBBJWL3JBA5QT3PFY5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:19:38.893824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3239ddd0d338429b2f69083b09ede5c7403df084c5d6d6f23cf4c0f64fb030ff

Aliases

arxiv: 1501.02061 · arxiv_version: 1501.02061v1 · doi: 10.48550/arxiv.1501.02061 · pith_short_12: GI453UGTHBBJ · pith_short_16: GI453UGTHBBJWL3J · pith_short_8: GI453UGT

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/GI453UGTHBBJWL3JBA5QT3PFY5 \
  | 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: 3239ddd0d338429b2f69083b09ede5c7403df084c5d6d6f23cf4c0f64fb030ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55459e56dd1ec5f07548d305a6c615dfacfd8ccedf1a15460f3abe3bec290acd",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-01-09T07:57:47Z",
    "title_canon_sha256": "0a5727e6dafadb8ed41de719e3c85f56cce7199e78b474782a190ee3dc097f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02061",
    "kind": "arxiv",
    "version": 1
  }
}