Pith Number

pith:22DX7ERO

pith:2014:22DX7ERO4WRCQJDVLMYWQFZ5BS

not attested not anchored not stored refs pending

The Swiss Cheese Theorem for Linear Operators with Two Invariant Subspaces

Audrey Moore, Markus Schmidmeier

arxiv:1409.5772 v1 · 2014-09-19 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22DX7ERO4WRCQJDVLMYWQFZ5BS}

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	2026-05-17T23:42:14.577553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6877f922ee5a22824755b3168173d0c9cefc141325db77194f6efa54dd25b7d

Aliases

arxiv: 1409.5772 · arxiv_version: 1409.5772v1 · doi: 10.48550/arxiv.1409.5772 · pith_short_12: 22DX7ERO4WRC · pith_short_16: 22DX7ERO4WRCQJDV · pith_short_8: 22DX7ERO

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/22DX7ERO4WRCQJDVLMYWQFZ5BS \
  | 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: d6877f922ee5a22824755b3168173d0c9cefc141325db77194f6efa54dd25b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05fdd3719339e5616ec681551929058aa035099ccd47b70e3929f70833a600f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-09-19T19:23:21Z",
    "title_canon_sha256": "35c0982def2ed1772722136a615bf843b0d08c7cd54262a769bebcb2f3da29f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5772",
    "kind": "arxiv",
    "version": 1
  }
}