Pith Number

pith:CNAOX536

pith:2011:CNAOX536I5VOV6UJLUNWQ4WVZN

not attested not anchored not stored refs pending

Banach spaces without minimal subspaces - examples

Christian Rosendal, Valentin Ferenczi

arxiv:1104.4724 v1 · 2011-04-25 · 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{CNAOX536I5VOV6UJLUNWQ4WVZN}

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	2026-05-18T04:23:33.573331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1340ebf77e476aeafa895d1b6872d5cb4f32ab5c54248e28bf8c7b552ab69d3b

Aliases

arxiv: 1104.4724 · arxiv_version: 1104.4724v1 · doi: 10.48550/arxiv.1104.4724 · pith_short_12: CNAOX536I5VO · pith_short_16: CNAOX536I5VOV6UJ · pith_short_8: CNAOX536

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/CNAOX536I5VOV6UJLUNWQ4WVZN \
  | 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: 1340ebf77e476aeafa895d1b6872d5cb4f32ab5c54248e28bf8c7b552ab69d3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5e8fc31154784b124b82e3bb9f754c959271caf3ef027369bbc51c897b66cf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-25T14:07:13Z",
    "title_canon_sha256": "0cf5cf0fa4c6ae3eaa10933c8afb0ffcda0d76d553c8966f0c3750a32fdacb15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4724",
    "kind": "arxiv",
    "version": 1
  }
}