Pith Number

pith:Q4B73A4B

pith:2019:Q4B73A4BZ7HNLCF6TSVDSMV3WM

not attested not anchored not stored refs pending

Uncertainty Principle for the multivariate two sided continuous quaternion Windowed Fourier transform

Emna Tefjeni, Kamel Brahim

arxiv:1906.06939 v1 · 2019-06-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4B73A4BZ7HNLCF6TSVDSMV3WM}

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	2026-05-17T23:42:49.705128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8703fd8381cfced588be9caa3932bbb32d7992f68fc4233b7ae0caf0df99d9f0

Aliases

arxiv: 1906.06939 · arxiv_version: 1906.06939v1 · doi: 10.48550/arxiv.1906.06939 · pith_short_12: Q4B73A4BZ7HN · pith_short_16: Q4B73A4BZ7HNLCF6 · pith_short_8: Q4B73A4B

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/Q4B73A4BZ7HNLCF6TSVDSMV3WM \
  | 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: 8703fd8381cfced588be9caa3932bbb32d7992f68fc4233b7ae0caf0df99d9f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a1cc5c34e13a20fc36a1360802bdb3d7cc418341a569ebda657f0f056fd039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-06-17T10:44:38Z",
    "title_canon_sha256": "1dea86136ff2164f11bf6ea745a830875c10e2a68b9aac711100e38a7955b92c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06939",
    "kind": "arxiv",
    "version": 1
  }
}