Pith Number

pith:OJH3QEA4

pith:2014:OJH3QEA4YU4XHFXWHMUJGEBUWJ

not attested not anchored not stored refs pending

One sided invertibility of matrices over commutative rings, corona problems, and Toeplitz operators with matrix symbols

Ilya M. Spitkovsky, Leiba Rodman, Maria Cristina C\^amara

arxiv:1403.6231 v1 · 2014-03-25 · 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{OJH3QEA4YU4XHFXWHMUJGEBUWJ}

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	2026-05-18T02:55:37.473479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

724fb8101cc5397396f63b28931034b255ead7372f80c69c6760224a19adddc5

Aliases

arxiv: 1403.6231 · arxiv_version: 1403.6231v1 · doi: 10.48550/arxiv.1403.6231 · pith_short_12: OJH3QEA4YU4X · pith_short_16: OJH3QEA4YU4XHFXW · pith_short_8: OJH3QEA4

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/OJH3QEA4YU4XHFXWHMUJGEBUWJ \
  | 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: 724fb8101cc5397396f63b28931034b255ead7372f80c69c6760224a19adddc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de9fa25d358f1d19b09343a84389b35268387da3daa5f9b71aecd1d81d9ef758",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-03-25T04:52:43Z",
    "title_canon_sha256": "c5ffe6f1ad4167e978d4aabbf48fd82088fd89f159d5bc9796a8fa72576c080a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6231",
    "kind": "arxiv",
    "version": 1
  }
}