Pith Number

pith:4V4UXCFQ

pith:2020:4V4UXCFQUP6K7VMRR2JLMABZUR

not attested not anchored not stored refs pending

On condition numbers of the total least squares problem with linear equality constraint

Qiaohua Liu, Zhigang Jia

arxiv:2008.08233 v4 · 2020-08-19 · math.NA · cs.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{4V4UXCFQUP6K7VMRR2JLMABZUR}

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	2026-07-05T03:26:57.416290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5794b88b0a3fcafd5918e92b60039a46b278bd83dcd919b2cb40259731308d9

Aliases

arxiv: 2008.08233 · arxiv_version: 2008.08233v4 · doi: 10.48550/arxiv.2008.08233 · pith_short_12: 4V4UXCFQUP6K · pith_short_16: 4V4UXCFQUP6K7VMR · pith_short_8: 4V4UXCFQ

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/4V4UXCFQUP6K7VMRR2JLMABZUR \
  | 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: e5794b88b0a3fcafd5918e92b60039a46b278bd83dcd919b2cb40259731308d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd8735a530e50a823f8c1185585e7741b19bdd96653f149520e0c7e440fe1f5d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-08-19T03:01:27Z",
    "title_canon_sha256": "cd157d39dca9e7ea4475893e1fca3437b853238fc279f03e91db9cb49562ba82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08233",
    "kind": "arxiv",
    "version": 4
  }
}