Pith Number

pith:I4W6ZXBA

pith:2013:I4W6ZXBAONOSFSGNT5FB7ZETOX

not attested not anchored not stored refs pending

A sampling theorem on shift-invariant spaces associated with the fractional Fourier transform domain

Sinuk Kang

arxiv:1302.2315 v1 · 2013-02-10 · math.FA · 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{I4W6ZXBAONOSFSGNT5FB7ZETOX}

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	2026-05-18T03:34:01.633938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472decdc20735d22c8cd9f4a1fe49375d807f44e696a01163653c3df7fda51ba

Aliases

arxiv: 1302.2315 · arxiv_version: 1302.2315v1 · doi: 10.48550/arxiv.1302.2315 · pith_short_12: I4W6ZXBAONOS · pith_short_16: I4W6ZXBAONOSFSGN · pith_short_8: I4W6ZXBA

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/I4W6ZXBAONOSFSGNT5FB7ZETOX \
  | 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: 472decdc20735d22c8cd9f4a1fe49375d807f44e696a01163653c3df7fda51ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "349d316b241e6f57c58f202362771681aac393134be978e19e2fba80ebfe8f33",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-10T10:30:55Z",
    "title_canon_sha256": "51a7a57b01a5628b23755d2c56952f4656ad925ef4b816c3041ac7075aa0324d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2315",
    "kind": "arxiv",
    "version": 1
  }
}