Pith Number

pith:KH7LPSMT

pith:2018:KH7LPSMTBHOBHANCFYYLRZ65UN

not attested not anchored not stored refs pending

The eigenstructures of real (skew) circulant matrices with some applications

Siheng Chen, Weijin Xu, Yulin Zhang, Zhongyun Liu

arxiv:1806.05652 v1 · 2018-06-12 · 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{KH7LPSMTBHOBHANCFYYLRZ65UN}

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	2026-05-18T00:13:14.452432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51feb7c99309dc1381a22e30b8e7dda3420828a844efd6fee1682e4f229fefe7

Aliases

arxiv: 1806.05652 · arxiv_version: 1806.05652v1 · doi: 10.48550/arxiv.1806.05652 · pith_short_12: KH7LPSMTBHOB · pith_short_16: KH7LPSMTBHOBHANC · pith_short_8: KH7LPSMT

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/KH7LPSMTBHOBHANCFYYLRZ65UN \
  | 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: 51feb7c99309dc1381a22e30b8e7dda3420828a844efd6fee1682e4f229fefe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "356c2ee641d5e6e9a4e678a2e363e809f7bf1c2643f7dc3fb503a3368ed6d926",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-06-12T18:50:34Z",
    "title_canon_sha256": "e91071e35a791a8c18329b4464d4b8279031e45fd28baf0695d033481b336a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05652",
    "kind": "arxiv",
    "version": 1
  }
}