Pith Number

pith:2HLTJEVX

pith:2012:2HLTJEVXSU7RNBCISTDKBHSCF6

not attested not anchored not stored refs pending

Determinants and Inverses of Circulant Matrices with Jacobsthal and Jacobsthal-Lucas Numbers

Durmu\c{s} Bozkurt, Tin-Yau Tam

arxiv:1201.6058 v1 · 2012-01-29 · 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{2HLTJEVXSU7RNBCISTDKBHSCF6}

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	2026-05-18T04:03:33.797097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d73492b7953f16844894c6a09e422fad46208ef6e4981771d59b28cf15e2b2

Aliases

arxiv: 1201.6058 · arxiv_version: 1201.6058v1 · doi: 10.48550/arxiv.1201.6058 · pith_short_12: 2HLTJEVXSU7R · pith_short_16: 2HLTJEVXSU7RNBCI · pith_short_8: 2HLTJEVX

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/2HLTJEVXSU7RNBCISTDKBHSCF6 \
  | 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: d1d73492b7953f16844894c6a09e422fad46208ef6e4981771d59b28cf15e2b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6167b6020bd505c710056587e65c79d6a15a36be8688a3f7e9263e0f8512bb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-01-29T17:12:54Z",
    "title_canon_sha256": "c7f8859e3d005a6e4459ec4c3d07c68048c9a13bfec7de6a83a1a47782ef58cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6058",
    "kind": "arxiv",
    "version": 1
  }
}