Pith Number

pith:KE7K7PL2

pith:2013:KE7K7PL2G6EEWRJY5WCJ37O4EV

not attested not anchored not stored refs pending

Estimating the Norms of Random Circulant and Toeplitz Matrices and Their Inverses

Guolian Qian, Victor Y. Pan

arxiv:1311.3730 v1 · 2013-11-15 · 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{KE7K7PL2G6EEWRJY5WCJ37O4EV}

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	2026-05-18T03:07:03.164446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513eafbd7a37884b4538ed849dfddc25428045afbc270005d207445d74c90a71

Aliases

arxiv: 1311.3730 · arxiv_version: 1311.3730v1 · doi: 10.48550/arxiv.1311.3730 · pith_short_12: KE7K7PL2G6EE · pith_short_16: KE7K7PL2G6EEWRJY · pith_short_8: KE7K7PL2

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/KE7K7PL2G6EEWRJY5WCJ37O4EV \
  | 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: 513eafbd7a37884b4538ed849dfddc25428045afbc270005d207445d74c90a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6f86adf49241a5b91b6f99f92946ed077c9674785d0257451477523c9e67718",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-15T05:32:05Z",
    "title_canon_sha256": "4f8d935779a784d073ffa702f4c397897e92827d97c1eb0239c3b3b5e33c7aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3730",
    "kind": "arxiv",
    "version": 1
  }
}