Pith Number

pith:EMUYZM33

pith:2009:EMUYZM33S2ZBQIQIHBIHCBIH2B

not attested not anchored not stored refs pending

Invariant subspaces for operator semigroups with commutators of rank at most one

Roman Drnov\v{s}ek

arxiv:0903.5412 v1 · 2009-03-31 · 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{EMUYZM33S2ZBQIQIHBIHCBIH2B}

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	2026-05-18T03:43:27.608666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23298cb37b96b21822083850710507d045cd718d206bafa3d3bd2edc271093fb

Aliases

arxiv: 0903.5412 · arxiv_version: 0903.5412v1 · doi: 10.48550/arxiv.0903.5412 · pith_short_12: EMUYZM33S2ZB · pith_short_16: EMUYZM33S2ZBQIQI · pith_short_8: EMUYZM33

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/EMUYZM33S2ZBQIQIHBIHCBIH2B \
  | 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: 23298cb37b96b21822083850710507d045cd718d206bafa3d3bd2edc271093fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14f2bdd5f57807a578b5f8c85f407a23b877c60170f626fd80082edfd2bf8f46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-03-31T12:28:09Z",
    "title_canon_sha256": "997a38ddf3dc34562ff542010e2f368782bcc2238481038f67185cdaf786a5b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.5412",
    "kind": "arxiv",
    "version": 1
  }
}