Pith Number

pith:KURBCZNO

pith:2015:KURBCZNOZY4Y2U2C2OWN3B673W

not attested not anchored not stored refs pending

Non-universal families of separable Banach spaces

Ond\v{r}ej Kurka

arxiv:1508.05059 v1 · 2015-08-20 · 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{KURBCZNOZY4Y2U2C2OWN3B673W}

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	2026-05-18T01:13:40.120046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55221165aece398d5342d3acdd87dfdd8656baa2809381a0975f1797d76d01ec

Aliases

arxiv: 1508.05059 · arxiv_version: 1508.05059v1 · doi: 10.48550/arxiv.1508.05059 · pith_short_12: KURBCZNOZY4Y · pith_short_16: KURBCZNOZY4Y2U2C · pith_short_8: KURBCZNO

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/KURBCZNOZY4Y2U2C2OWN3B673W \
  | 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: 55221165aece398d5342d3acdd87dfdd8656baa2809381a0975f1797d76d01ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7642504c80eee0e5d59968570b2df9a06999b2c1ccef9a88f2587c334586fccc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-20T18:02:51Z",
    "title_canon_sha256": "7490308c7bac8725b3c52888e8f9f162b5a14cb9a3b35acea99df1f29c918c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05059",
    "kind": "arxiv",
    "version": 1
  }
}