Pith Number

pith:2KK6X3DR

pith:2016:2KK6X3DRKZSVUGRZIWIIVMT72U

not attested not anchored not stored refs pending

Beyond quasi-optics: an exact approach to self-diffraction, reflection and finite-waist focusing of matter wave trajectories

Adriano Orefice, Domenico Ditto, Raffaele Giovanelli

arxiv:1604.05068 v5 · 2016-04-18 · 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{2KK6X3DRKZSVUGRZIWIIVMT72U}

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	2026-05-18T00:57:44.028034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d295ebec7156655a1a3945908ab27fd52b10dbc6a35eafea5af356d0bd9e7b51

Aliases

arxiv: 1604.05068 · arxiv_version: 1604.05068v5 · doi: 10.48550/arxiv.1604.05068 · pith_short_12: 2KK6X3DRKZSV · pith_short_16: 2KK6X3DRKZSVUGRZ · pith_short_8: 2KK6X3DR

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/2KK6X3DRKZSVUGRZIWIIVMT72U \
  | 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: d295ebec7156655a1a3945908ab27fd52b10dbc6a35eafea5af356d0bd9e7b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ffb23afea03a5e407ef26d09ff0d20acd183bb2ee16ae44ac48d8809c156617",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-04-18T10:19:07Z",
    "title_canon_sha256": "0a41d204b6c10e79ff2b7333b7c7b1192b570fccf0d6dc8f15e4960725942941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05068",
    "kind": "arxiv",
    "version": 5
  }
}