Pith Number

pith:4EJLCUCP

pith:2016:4EJLCUCPTKPF27AFYO373WDK37

not attested not anchored not stored refs pending

Convolution, Fourier analysis, and distributions generated by Riesz bases

Michael Ruzhansky, Niyaz Tokmagambetov

arxiv:1611.03791 v2 · 2016-11-11 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EJLCUCPTKPF27AFYO373WDK37}

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	2026-05-18T00:27:36.490133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e112b1504f9a9e5d7c05c3b7fdd86adfe3d2f6cc470b8c27656cdce37ecdc656

Aliases

arxiv: 1611.03791 · arxiv_version: 1611.03791v2 · doi: 10.48550/arxiv.1611.03791 · pith_short_12: 4EJLCUCPTKPF · pith_short_16: 4EJLCUCPTKPF27AF · pith_short_8: 4EJLCUCP

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/4EJLCUCPTKPF27AFYO373WDK37 \
  | 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: e112b1504f9a9e5d7c05c3b7fdd86adfe3d2f6cc470b8c27656cdce37ecdc656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638a87c2a86cd39ee9b3a2236999a4e389c392e579a41cea2d95c4f1b5317fea",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-11T17:33:50Z",
    "title_canon_sha256": "ccb1092ca8c2e0c012699e4d18d5e32431eac926b6027434c7e2cd9c7a84c423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03791",
    "kind": "arxiv",
    "version": 2
  }
}