Pith Number

pith:OOP2BRLT

pith:2007:OOP2BRLT6FZ3N6ICPXHKSOTXOA

not attested not anchored not stored refs pending

Banach spaces without minimal subspaces

Christian Rosendal, Valentin Ferenczi

arxiv:0711.1350 v2 · 2007-11-08 · math.FA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOP2BRLT6FZ3N6ICPXHKSOTXOA}

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	2026-05-18T04:24:06.545907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739fa0c573f173b6f9027dcea93a77702ce5fdc8b1800d323d19a6d958e46c1c

Aliases

arxiv: 0711.1350 · arxiv_version: 0711.1350v2 · doi: 10.48550/arxiv.0711.1350 · pith_short_12: OOP2BRLT6FZ3 · pith_short_16: OOP2BRLT6FZ3N6IC · pith_short_8: OOP2BRLT

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/OOP2BRLT6FZ3N6ICPXHKSOTXOA \
  | 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: 739fa0c573f173b6f9027dcea93a77702ce5fdc8b1800d323d19a6d958e46c1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f16f32fc2d567d75b9a1a5dad574fc9bde3036fa54db1844bf9e4c4ad7cb29",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2007-11-08T20:48:00Z",
    "title_canon_sha256": "7913b86084aa1b57690610e71a643a0a7d831b6af9546a910e787ba2237a4d21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1350",
    "kind": "arxiv",
    "version": 2
  }
}