Pith Number

pith:2IOVHNEA

pith:2018:2IOVHNEA5I4BNAVTYSU7Y44NUN

not attested not anchored not stored refs pending

Remarks on Banach spaces determined by their finite dimensional subspaces

Karim Khanaki

arxiv:1804.08446 v1 · 2018-04-20 · 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{2IOVHNEA5I4BNAVTYSU7Y44NUN}

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	2026-05-18T00:17:48.325943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21d53b480ea381682b3c4a9fc738da3497a0745a0deaaed9bee0c24420b59fa

Aliases

arxiv: 1804.08446 · arxiv_version: 1804.08446v1 · doi: 10.48550/arxiv.1804.08446 · pith_short_12: 2IOVHNEA5I4B · pith_short_16: 2IOVHNEA5I4BNAVT · pith_short_8: 2IOVHNEA

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/2IOVHNEA5I4BNAVTYSU7Y44NUN \
  | 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: d21d53b480ea381682b3c4a9fc738da3497a0745a0deaaed9bee0c24420b59fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e560e5b36838ae13a8c48ed78d1f377cec342d63fa1c590738842c0871440c44",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-20T09:15:59Z",
    "title_canon_sha256": "41eadfcace93848c9313b988d750dfee9c588af6eddf108c134d50d9255f8118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08446",
    "kind": "arxiv",
    "version": 1
  }
}