Pith Number

pith:66CZ6U2V

pith:2014:66CZ6U2VB2B6ZL2QCJOBPGGMDL

not attested not anchored not stored refs pending

The glow of Fourier matrices: universality and fluctuations

Teodor Banica

arxiv:1403.2108 v3 · 2014-03-09 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66CZ6U2VB2B6ZL2QCJOBPGGMDL}

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	2026-05-18T02:20:00.221103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7859f53550e83ecaf50125c1798cc1ae41c3915aeb7418bbb59030a0cf12d1c

Aliases

arxiv: 1403.2108 · arxiv_version: 1403.2108v3 · doi: 10.48550/arxiv.1403.2108 · pith_short_12: 66CZ6U2VB2B6 · pith_short_16: 66CZ6U2VB2B6ZL2Q · pith_short_8: 66CZ6U2V

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/66CZ6U2VB2B6ZL2QCJOBPGGMDL \
  | 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: f7859f53550e83ecaf50125c1798cc1ae41c3915aeb7418bbb59030a0cf12d1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5abc9926c2a4daf4c1bcf86f3350768bb98b57596a02579cb0a32df370084ca3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-09T21:49:30Z",
    "title_canon_sha256": "d075ea77086629568eaa10aab63817215bb9729d3c5bdae0ad4197c9407effa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2108",
    "kind": "arxiv",
    "version": 3
  }
}