Pith Number

pith:IPDBFZEE

pith:2015:IPDBFZEEKK2W4VL3Q7UB4AWSMW

not attested not anchored not stored refs pending

The mathematics of superoscillations

D.C. Struppa, F. Colombo, I. Sabadini, J. Tollaksen, Y. Aharonov

arxiv:1511.01938 v1 · 2015-11-05 · math-ph · math.MP · 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{IPDBFZEEKK2W4VL3Q7UB4AWSMW}

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	2026-05-18T01:27:39.078484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c612e48452b56e557b87e81e02d26586488b813d0123e896bd2bfd09cfd170

Aliases

arxiv: 1511.01938 · arxiv_version: 1511.01938v1 · doi: 10.48550/arxiv.1511.01938 · pith_short_12: IPDBFZEEKK2W · pith_short_16: IPDBFZEEKK2W4VL3 · pith_short_8: IPDBFZEE

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/IPDBFZEEKK2W4VL3Q7UB4AWSMW \
  | 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: 43c612e48452b56e557b87e81e02d26586488b813d0123e896bd2bfd09cfd170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e3243aee612841c2461537b66ffe56aca9441c099973e708d4e9d54ca757715",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-05T22:31:22Z",
    "title_canon_sha256": "8d22fedfb1aef68e742b5490c397d8f05f6011a4c9a9dd845f2ebe5c705a69d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01938",
    "kind": "arxiv",
    "version": 1
  }
}