Pith Number

pith:GQZN5KQO

pith:2017:GQZN5KQO2GSEYCI3LLYTVQTLRR

not attested not anchored not stored refs pending

A planar large sieve and sparsity of time-frequency representations

Luis Daniel Abreu, Michael Speckbacher

arxiv:1702.08274 v1 · 2017-02-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQZN5KQO2GSEYCI3LLYTVQTLRR}

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	2026-05-18T00:49:55.388656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3432deaa0ed1a44c091b5af13ac26b8c5aea4bde875a5bc499318a2f495843e5

Aliases

arxiv: 1702.08274 · arxiv_version: 1702.08274v1 · doi: 10.48550/arxiv.1702.08274 · pith_short_12: GQZN5KQO2GSE · pith_short_16: GQZN5KQO2GSEYCI3 · pith_short_8: GQZN5KQO

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/GQZN5KQO2GSEYCI3LLYTVQTLRR \
  | 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: 3432deaa0ed1a44c091b5af13ac26b8c5aea4bde875a5bc499318a2f495843e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c56dbc96062dd54755fc5b26614e31db78915743f5ad0c2374411b1bb23e971f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-27T13:27:44Z",
    "title_canon_sha256": "b9d7704b6798e9823b3f372985391ad431c5b7acf75ada59ad1f79f933c427fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08274",
    "kind": "arxiv",
    "version": 1
  }
}