Pith Number

pith:PVRE3FAZ

pith:2016:PVRE3FAZOEZCTI63Y7PXSWJSMO

not attested not anchored not stored refs pending

Shuffling matrices, Kronecker product and Discrete Fourier Transform

Alfredo Donno, Daniele D'Angeli

arxiv:1605.09635 v1 · 2016-05-31 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVRE3FAZOEZCTI63Y7PXSWJSMO}

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	2026-05-18T00:32:51.246368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d624d9419713229a3dbc7df795932638fa00bacca300d729be9fbfdd269210a

Aliases

arxiv: 1605.09635 · arxiv_version: 1605.09635v1 · doi: 10.48550/arxiv.1605.09635 · pith_short_12: PVRE3FAZOEZC · pith_short_16: PVRE3FAZOEZCTI63 · pith_short_8: PVRE3FAZ

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/PVRE3FAZOEZCTI63Y7PXSWJSMO \
  | 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: 7d624d9419713229a3dbc7df795932638fa00bacca300d729be9fbfdd269210a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ffee9d62630bcc344ba77017a76250b9934a0accb4333ca47c40ae1e6c45e43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-31T13:58:07Z",
    "title_canon_sha256": "17d636673774b913f732fbb6ecd13855eaba749553f3701c1a61bff6f520c7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09635",
    "kind": "arxiv",
    "version": 1
  }
}