Pith Number

pith:VYPBETML

pith:2012:VYPBETMLEIPNNZC2XXEITDLY53

not attested not anchored not stored refs pending

The defect of generalized Fourier matrices

Teodor Banica

arxiv:1210.2556 v2 · 2012-10-09 · math.CO · math.AG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYPBETMLEIPNNZC2XXEITDLY53}

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	2026-05-18T03:31:29.388707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1e124d8b221ed6e45abdc8898d78eefa74031b374392c8527f55c029647407

Aliases

arxiv: 1210.2556 · arxiv_version: 1210.2556v2 · doi: 10.48550/arxiv.1210.2556 · pith_short_12: VYPBETMLEIPN · pith_short_16: VYPBETMLEIPNNZC2 · pith_short_8: VYPBETML

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/VYPBETMLEIPNNZC2XXEITDLY53 \
  | 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: ae1e124d8b221ed6e45abdc8898d78eefa74031b374392c8527f55c029647407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f721be166259f775d018e6067aa9d768a2f963e8bc4845fd0398296a8a524f18",
    "cross_cats_sorted": [
      "math.AG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-09T10:50:49Z",
    "title_canon_sha256": "dfb655dbb8f61324dc4ebe1d753e95e75bd781ba1c88eb49969ae35316967aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2556",
    "kind": "arxiv",
    "version": 2
  }
}