Pith Number

pith:BJGQ37QI

pith:2011:BJGQ37QI6TXJHQIJHCD6ZZRP4B

not attested not anchored not stored refs pending

Quasisimilarity of invariant subspaces for $C_0$ operators with multiplicity two

Rapha\"el Clou\^atre

arxiv:1109.3789 v2 · 2011-09-17 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJGQ37QI6TXJHQIJHCD6ZZRP4B}

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	2026-05-18T02:51:23.713054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a4d0dfe08f4ee93c1093887ece62fe07f55a3db528754d59dd87507b311bcf6

Aliases

arxiv: 1109.3789 · arxiv_version: 1109.3789v2 · doi: 10.48550/arxiv.1109.3789 · pith_short_12: BJGQ37QI6TXJ · pith_short_16: BJGQ37QI6TXJHQIJ · pith_short_8: BJGQ37QI

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/BJGQ37QI6TXJHQIJHCD6ZZRP4B \
  | 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: 0a4d0dfe08f4ee93c1093887ece62fe07f55a3db528754d59dd87507b311bcf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "494e517bb86bb0453d28c2fbf7fbc7e2fb38ad2c7bb341ebf38dfde222fd5e8d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-17T15:16:41Z",
    "title_canon_sha256": "f95e7fccaaa6ae575e3a30f2e4648ff807ff8f725d44ad968d4eef30bbba0813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3789",
    "kind": "arxiv",
    "version": 2
  }
}