Pith Number

pith:VC4MYVRI

pith:2018:VC4MYVRIRKMZI7Q5LARHXOBFV6

not attested not anchored not stored refs pending

The universal Banach space with a $K$-suppression unconditional basis

Joanna Garbuli\'nska-W\k{e}grzyn, Taras Banakh

arxiv:1801.07433 v3 · 2018-01-23 · 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{VC4MYVRIRKMZI7Q5LARHXOBFV6}

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	2026-05-17T23:56:55.603731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b8cc56288a99947e1d58227bb825af8b85243f92ad361a05a17a4a9a38b90b

Aliases

arxiv: 1801.07433 · arxiv_version: 1801.07433v3 · doi: 10.48550/arxiv.1801.07433 · pith_short_12: VC4MYVRIRKMZ · pith_short_16: VC4MYVRIRKMZI7Q5 · pith_short_8: VC4MYVRI

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/VC4MYVRIRKMZI7Q5LARHXOBFV6 \
  | 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: a8b8cc56288a99947e1d58227bb825af8b85243f92ad361a05a17a4a9a38b90b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dce44d3f89db5a09b8f08154c0c7d637808f6bbd03815fa056def395f87105e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-23T08:27:30Z",
    "title_canon_sha256": "6b330deba80cc69535dc25eb33b60cefd9fabde969f021bc05f7a9586b25a47b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07433",
    "kind": "arxiv",
    "version": 3
  }
}