Pith Number

pith:MZRMUAAJ

pith:2010:MZRMUAAJ4QSTY4BVFZF2TRCN2M

not attested not anchored not stored refs pending

A complete locally convex space of countable dimension admitting an operator with no invariant subspaces

Stanislav Shkarin

arxiv:1009.2644 v1 · 2010-09-14 · 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{MZRMUAAJ4QSTY4BVFZF2TRCN2M}

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	2026-05-18T04:40:56.654176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6662ca0009e4253c70352e4ba9c44dd334fe0de0a68b26e7435da9ce909fa0df

Aliases

arxiv: 1009.2644 · arxiv_version: 1009.2644v1 · doi: 10.48550/arxiv.1009.2644 · pith_short_12: MZRMUAAJ4QST · pith_short_16: MZRMUAAJ4QSTY4BV · pith_short_8: MZRMUAAJ

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/MZRMUAAJ4QSTY4BVFZF2TRCN2M \
  | 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: 6662ca0009e4253c70352e4ba9c44dd334fe0de0a68b26e7435da9ce909fa0df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70d80904276418fe6e09dc6e9e95cbb47d53b8702ba8eb7d2b4a4b7e1d79e6b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-14T12:55:42Z",
    "title_canon_sha256": "2a7055626472bc529d23667b58a62223d402d74aa34fa8f21ed1ab3d683b20bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2644",
    "kind": "arxiv",
    "version": 1
  }
}