Pith Number

pith:NMW2ACPX

pith:2015:NMW2ACPXJ5DZDSFNGGXD2GAAJC

not attested not anchored not stored refs pending

Explicit Hermite-type eigenvectors of the discrete Fourier transform

Alexey Kuznetsov

arxiv:1501.07646 v1 · 2015-01-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMW2ACPXJ5DZDSFNGGXD2GAAJC}

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	2026-05-18T02:28:20.029343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b2da009f74f4791c8ad31ae3d18004882dad8cb1623f38d97175608090deaac

Aliases

arxiv: 1501.07646 · arxiv_version: 1501.07646v1 · doi: 10.48550/arxiv.1501.07646 · pith_short_12: NMW2ACPXJ5DZ · pith_short_16: NMW2ACPXJ5DZDSFN · pith_short_8: NMW2ACPX

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/NMW2ACPXJ5DZDSFNGGXD2GAAJC \
  | 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: 6b2da009f74f4791c8ad31ae3d18004882dad8cb1623f38d97175608090deaac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb1ea8b0ee2c1c59e5e34b88280d708f0fef9a5ccf692c5bda692219a071720",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-01-30T02:09:20Z",
    "title_canon_sha256": "234f99237e623332db129ad2c301e9bf2679c05e14fbd343e9826357522fe193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07646",
    "kind": "arxiv",
    "version": 1
  }
}