Pith Number

pith:FJI33Q4M

pith:2013:FJI33Q4MCTF7UKNFAASBMO6XLB

not attested not anchored not stored refs pending

A Bohl-Bohr-Kadets type theorem characterizing Banach spaces not containing c0

B\'alint Farkas

arxiv:1301.6250 v1 · 2013-01-26 · 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{FJI33Q4MCTF7UKNFAASBMO6XLB}

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	2026-05-18T03:35:24.579341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a51bdc38c14cbfa29a50024163bd7584d18499f320fe1695cee6f78f9e7d1ec

Aliases

arxiv: 1301.6250 · arxiv_version: 1301.6250v1 · doi: 10.48550/arxiv.1301.6250 · pith_short_12: FJI33Q4MCTF7 · pith_short_16: FJI33Q4MCTF7UKNF · pith_short_8: FJI33Q4M

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/FJI33Q4MCTF7UKNFAASBMO6XLB \
  | 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: 2a51bdc38c14cbfa29a50024163bd7584d18499f320fe1695cee6f78f9e7d1ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beee8feaccee19dfc87bad26f64e119e88b998e7457487649ba0bd425b07f7ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-26T13:16:29Z",
    "title_canon_sha256": "c426e6e1251bd6f9f65ad32b8c267553dd239134515a9466a3a34521ddb30f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6250",
    "kind": "arxiv",
    "version": 1
  }
}