Pith Number

pith:KWI7FSXI

pith:2013:KWI7FSXISIL64SDICRC2RPE4TP

not attested not anchored not stored refs pending

Almost-commuting matrices are almost jointly diagonalizable

Klaus Glashoff, Michael M. Bronstein

arxiv:1305.2135 v2 · 2013-05-07 · 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{KWI7FSXISIL64SDICRC2RPE4TP}

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.

Cited by

1 paper in Pith

RAwR: Role-Aware Rewiring via Approximate Equitable Partition

Receipt and verification

First computed	2026-05-18T03:18:28.870511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5591f2cae89217ee48681445a8bc9c9bfe2fb252571c086f015e683301cc4abd

Aliases

arxiv: 1305.2135 · arxiv_version: 1305.2135v2 · doi: 10.48550/arxiv.1305.2135 · pith_short_12: KWI7FSXISIL6 · pith_short_16: KWI7FSXISIL64SDI · pith_short_8: KWI7FSXI

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/KWI7FSXISIL64SDICRC2RPE4TP \
  | 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: 5591f2cae89217ee48681445a8bc9c9bfe2fb252571c086f015e683301cc4abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf9797e9cb9a3fa2a0d397f54458d2522420b9e08db46c5048f9e9c5a0344b69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2013-05-07T11:09:11Z",
    "title_canon_sha256": "ef04ee2bf00bf1a2d96eccf3fb94090867017eafcbcf56222d983357b6a60cfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2135",
    "kind": "arxiv",
    "version": 2
  }
}