Pith Number

pith:OMWGB2KX

pith:2012:OMWGB2KX57GEJBQT3QWBW4SEK3

not attested not anchored not stored refs pending

Yield--Optimized Superoscillations

Eytan Katzav, Moshe Schwartz

arxiv:1209.6572 v3 · 2012-09-27 · quant-ph · math-ph · math.MP · 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{OMWGB2KX57GEJBQT3QWBW4SEK3}

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	2026-05-18T03:17:11.919002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

732c60e957efcc448613dc2c1b724456ebebf36caf236f3a93ac3740254077f4

Aliases

arxiv: 1209.6572 · arxiv_version: 1209.6572v3 · doi: 10.48550/arxiv.1209.6572 · pith_short_12: OMWGB2KX57GE · pith_short_16: OMWGB2KX57GEJBQT · pith_short_8: OMWGB2KX

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/OMWGB2KX57GEJBQT3QWBW4SEK3 \
  | 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: 732c60e957efcc448613dc2c1b724456ebebf36caf236f3a93ac3740254077f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477312ed4737ff5e4a7b27d2caf41394562c5c0e9634fc2ad2127658c8ae67da",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-27T15:16:37Z",
    "title_canon_sha256": "cbdd52ca546995cba969b8d901abd915a823c4df45d7653185f210a97f96713e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6572",
    "kind": "arxiv",
    "version": 3
  }
}