Pith Number

pith:UNKPRO6B

pith:2019:UNKPRO6BM34SO445CXJLSEFUNH

not attested not anchored not stored refs pending

The isomorphic Kottman constant of a Banach space

Jes\'us M. F. Castillo, Manuel Gonz\'alez, Pier Luigi Papini, Tomasz Kania

arxiv:1910.01626 v2 · 2019-10-03 · math.FA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNKPRO6BM34SO445CXJLSEFUNH}

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	2026-07-05T00:41:13.015862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a354f8bbc166f927739d15d2b910b469c42aab29a09d33643531376bfcf01345

Aliases

arxiv: 1910.01626 · arxiv_version: 1910.01626v2 · doi: 10.48550/arxiv.1910.01626 · pith_short_12: UNKPRO6BM34S · pith_short_16: UNKPRO6BM34SO445 · pith_short_8: UNKPRO6B

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/UNKPRO6BM34SO445CXJLSEFUNH \
  | 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: a354f8bbc166f927739d15d2b910b469c42aab29a09d33643531376bfcf01345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ade03077711608d41b9e9826473f385679b2247fc8d4ea4aa13650d7a8b4120",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-10-03T17:47:27Z",
    "title_canon_sha256": "092b52621af31113f7c1a1a3294085233c2301aed1ab7ed5a2d34fd66793730f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.01626",
    "kind": "arxiv",
    "version": 2
  }
}