Pith Number

pith:IRCD2Q53

pith:2018:IRCD2Q53M45Y7DPQQFVFQQNUN7

not attested not anchored not stored refs pending

Discovering Transforms: A Tutorial on Circulant Matrices, Circular Convolution, and the Discrete Fourier Transform

Bassam Bamieh

arxiv:1805.05533 v4 · 2018-05-15 · eess.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{IRCD2Q53M45Y7DPQQFVFQQNUN7}

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.

Cited by

2 papers in Pith

Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Pixel-Translation-Equivariant Quantum Convolutional Neural Networks via Fourier Multiplexers

Receipt and verification

First computed	2026-07-05T04:17:32.623202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44443d43bb673b8f8df0816a5841b46fe1f656039d9acf8423a21b2bc7d5b380

Aliases

arxiv: 1805.05533 · arxiv_version: 1805.05533v4 · doi: 10.48550/arxiv.1805.05533 · pith_short_12: IRCD2Q53M45Y · pith_short_16: IRCD2Q53M45Y7DPQ · pith_short_8: IRCD2Q53

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/IRCD2Q53M45Y7DPQQFVFQQNUN7 \
  | 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: 44443d43bb673b8f8df0816a5841b46fe1f656039d9acf8423a21b2bc7d5b380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b267363f1a72909ebf38c8473b3987c7149bfa36ca367733d8f7108bbdf3f64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SP",
    "submitted_at": "2018-05-15T02:44:51Z",
    "title_canon_sha256": "7e6f4618d0a4a31ea988eefe7821e23033af2e4a7b7f25f9ad09acff93241ac8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05533",
    "kind": "arxiv",
    "version": 4
  }
}