Pith Number

pith:JPWD4IQE

pith:2020:JPWD4IQEMR62BRRPMDLW7NTPX6

not attested not anchored not stored refs pending

Decomposing a matrix into two submatrices with extremely small operator norm

Irina Limonova

arxiv:2003.00979 v1 · 2020-03-02 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPWD4IQEMR62BRRPMDLW7NTPX6}

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	2026-07-05T01:37:23.740378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bec3e2204647da0c62f60d76fb66fbf93b80207d88fc15bc4caf6e98504f4b5

Aliases

arxiv: 2003.00979 · arxiv_version: 2003.00979v1 · doi: 10.48550/arxiv.2003.00979 · pith_short_12: JPWD4IQEMR62 · pith_short_16: JPWD4IQEMR62BRRP · pith_short_8: JPWD4IQE

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/JPWD4IQEMR62BRRPMDLW7NTPX6 \
  | 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: 4bec3e2204647da0c62f60d76fb66fbf93b80207d88fc15bc4caf6e98504f4b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed67b3945835763680129da624b6b8b6332082fe8770c8b020eab29fb78578e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2020-03-02T15:53:15Z",
    "title_canon_sha256": "12afaa0dcbe257a259b2f131acf4c8cd981fc60ba15d8c8dd5b7414e1d40e478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.00979",
    "kind": "arxiv",
    "version": 1
  }
}