Pith Number

pith:TV7K6LM4

pith:2022:TV7K6LM4ZTNQ45QHZCS3JL2HSK

not attested not anchored not stored refs pending

Two iterative formulas of largest and smallest singular value of nonsingular matrices

Shun Xu

arxiv:2204.01033 v2 · 2022-04-03 · 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{TV7K6LM4ZTNQ45QHZCS3JL2HSK}

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	2026-07-05T04:26:48.927216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d7eaf2d9cccdb0e7607c8a5b4af47929d264ce0057c0acbbf2a218d258e5642

Aliases

arxiv: 2204.01033 · arxiv_version: 2204.01033v2 · doi: 10.48550/arxiv.2204.01033 · pith_short_12: TV7K6LM4ZTNQ · pith_short_16: TV7K6LM4ZTNQ45QH · pith_short_8: TV7K6LM4

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/TV7K6LM4ZTNQ45QHZCS3JL2HSK \
  | 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: 9d7eaf2d9cccdb0e7607c8a5b4af47929d264ce0057c0acbbf2a218d258e5642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a15ce8e516e77bc28e6090e1c627739036bb77c47e84f61528ce759febd8933",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-04-03T09:11:47Z",
    "title_canon_sha256": "2e9d42fdf90188073f64105e048ae946012bb505489c3ed9e22bb7e4258b2da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01033",
    "kind": "arxiv",
    "version": 2
  }
}