Pith Number

pith:FU6POUST

pith:2007:FU6POUSTZVIMUGVXMLKFW7VM2V

not attested not anchored not stored refs pending

Fast Fourier Transforms for the Rook Monoid

Daniel N. Rockmore, Martin Malandro

arxiv:0709.4175 v1 · 2007-09-26 · math.RT · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FU6POUSTZVIMUGVXMLKFW7VM2V}

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	2026-05-18T04:16:32.539634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d3cf75253cd50ca1ab762d45b7eacd5461e287e587880832cd0f6d7ac89c116

Aliases

arxiv: 0709.4175 · arxiv_version: 0709.4175v1 · doi: 10.48550/arxiv.0709.4175 · pith_short_12: FU6POUSTZVIM · pith_short_16: FU6POUSTZVIMUGVX · pith_short_8: FU6POUST

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/FU6POUSTZVIMUGVXMLKFW7VM2V \
  | 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: 2d3cf75253cd50ca1ab762d45b7eacd5461e287e587880832cd0f6d7ac89c116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7fa8e1977c8cebad5a6b73f061fb801b61115642273aa23039c9bcb8ffc0996",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-09-26T14:35:13Z",
    "title_canon_sha256": "c53c58b772beb98d84d85d1f9b28e6d57e6a7744e5a62729bd755cf3161a9377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4175",
    "kind": "arxiv",
    "version": 1
  }
}