Pith Number

pith:2TK7KLTT

pith:2014:2TK7KLTTRI7H23RXGHSUXE2IZG

not attested not anchored not stored refs pending

A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix

Kinji Kimura, Takumi Yamashita, Yusaku Yamamoto

arxiv:1401.2350 v1 · 2014-01-10 · 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{2TK7KLTTRI7H23RXGHSUXE2IZG}

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	2026-05-18T03:02:45.504673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d5f52e738a3e7d6e3731e54b9348c993c0cc79e0c1bdf9be4a0fec71fec1da

Aliases

arxiv: 1401.2350 · arxiv_version: 1401.2350v1 · doi: 10.48550/arxiv.1401.2350 · pith_short_12: 2TK7KLTTRI7H · pith_short_16: 2TK7KLTTRI7H23RX · pith_short_8: 2TK7KLTT

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/2TK7KLTTRI7H23RXGHSUXE2IZG \
  | 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: d4d5f52e738a3e7d6e3731e54b9348c993c0cc79e0c1bdf9be4a0fec71fec1da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e74e970ccf9a48101f91af56eb86e739a52a08cec52aa8948f5d24a9943430d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-01-10T14:51:55Z",
    "title_canon_sha256": "bd09f40d0e521f6415c7139ea3a20618e317df870b6beb2869809eef9fe002af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2350",
    "kind": "arxiv",
    "version": 1
  }
}