Pith Number

pith:2PTCU3LD

pith:2015:2PTCU3LDW2TBHRCCIGLH6EYAAM

not attested not anchored not stored refs pending

Integer Powers of Certain Complex (2k+1)-diagonal Toeplitz Matrices

Durmu\c{s} Bozkurt, H. K\"ubra Duru

arxiv:1503.05400 v2 · 2015-02-04 · math.CA · math.NT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PTCU3LDW2TBHRCCIGLH6EYAAM}

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	2026-05-18T01:19:12.336278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3e62a6d63b6a613c44241967f1300030af82589f9e33add16ce9ab33b6b89cb

Aliases

arxiv: 1503.05400 · arxiv_version: 1503.05400v2 · doi: 10.48550/arxiv.1503.05400 · pith_short_12: 2PTCU3LDW2TB · pith_short_16: 2PTCU3LDW2TBHRCC · pith_short_8: 2PTCU3LD

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/2PTCU3LDW2TBHRCCIGLH6EYAAM \
  | 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: d3e62a6d63b6a613c44241967f1300030af82589f9e33add16ce9ab33b6b89cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9acb98e7b5fec5d597451b7b6d9395cfba574622bc5dc3d8c4ae33926bdeb26a",
    "cross_cats_sorted": [
      "math.NT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-04T11:04:08Z",
    "title_canon_sha256": "52ae1bf3c70524042e32a0e8289c0e06b395295c144b711250e23abd2c81bea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05400",
    "kind": "arxiv",
    "version": 2
  }
}