Pith Number

pith:Z3WFH545

pith:2016:Z3WFH545ZXUZAL3B5V4P3WMHG7

not attested not anchored not stored refs pending

Sparse Representation in Fourier and Local Bases Using ProSparse: A Probabilistic Analysis

Jon O\~nativia, Pier Luigi Dragotti, Yue M. Lu

arxiv:1611.07971 v3 · 2016-11-23 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3WFH545ZXUZAL3B5V4P3WMHG7}

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	2026-05-18T00:40:40.786218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceec53f79dcde9902f61ed78fdd98737d62214d66c144b55cd163fde6c00018c

Aliases

arxiv: 1611.07971 · arxiv_version: 1611.07971v3 · doi: 10.48550/arxiv.1611.07971 · pith_short_12: Z3WFH545ZXUZ · pith_short_16: Z3WFH545ZXUZAL3B · pith_short_8: Z3WFH545

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/Z3WFH545ZXUZAL3B5V4P3WMHG7 \
  | 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: ceec53f79dcde9902f61ed78fdd98737d62214d66c144b55cd163fde6c00018c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5773fe6bc608dd07282b417061e355441e141579b95f784cf7148e517c58f315",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-23T20:56:10Z",
    "title_canon_sha256": "b98b7ccdb6b68f11223b3f7984b666533ba5b8e9c654a0d1eaea029a32df52dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07971",
    "kind": "arxiv",
    "version": 3
  }
}