Pith Number

pith:O4KZKXRX

pith:2012:O4KZKXRXLSTBEUBM7Y6P65ZXKZ

not attested not anchored not stored refs pending

On the Determinants and Inverses of Circulant Matrices with a General Number Sequence

Durmu\c{s} Bozkurt

arxiv:1202.1068 v1 · 2012-02-06 · 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{O4KZKXRXLSTBEUBM7Y6P65ZXKZ}

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	2026-05-18T04:03:05.195299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7715955e375ca612502cfe3cff773756455e84de956c73bd6d9c1f1b9a54d145

Aliases

arxiv: 1202.1068 · arxiv_version: 1202.1068v1 · doi: 10.48550/arxiv.1202.1068 · pith_short_12: O4KZKXRXLSTB · pith_short_16: O4KZKXRXLSTBEUBM · pith_short_8: O4KZKXRX

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/O4KZKXRXLSTBEUBM7Y6P65ZXKZ \
  | 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: 7715955e375ca612502cfe3cff773756455e84de956c73bd6d9c1f1b9a54d145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b50555ee9f85b2956e3cc1ef240a7e8d5597716a36f8e62577b62c199701c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-02-06T08:46:14Z",
    "title_canon_sha256": "b543d1d2a000d941d213ac957bf9c36b29bc29a3978dd4d7f1cd30bde6b0ac4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1068",
    "kind": "arxiv",
    "version": 1
  }
}