Pith Number

pith:KSZLH32D

pith:2013:KSZLH32DUULTWIBKWD2RLCF3MG

not attested not anchored not stored refs pending

Big slices versus big relatively weakly open subsets in Banach spaces

Abraham Rueda Zoido, Gines Lopez Perez, Julio Becerra Guerrero

arxiv:1304.4397 v5 · 2013-04-16 · 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{KSZLH32DUULTWIBKWD2RLCF3MG}

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	2026-05-18T03:12:57.614054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b2b3ef43a5173b202ab0f51588bb61ac6ebec2cb2a36c93be6ff87b1cd8fd0

Aliases

arxiv: 1304.4397 · arxiv_version: 1304.4397v5 · doi: 10.48550/arxiv.1304.4397 · pith_short_12: KSZLH32DUULT · pith_short_16: KSZLH32DUULTWIBK · pith_short_8: KSZLH32D

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/KSZLH32DUULTWIBKWD2RLCF3MG \
  | 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: 54b2b3ef43a5173b202ab0f51588bb61ac6ebec2cb2a36c93be6ff87b1cd8fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeee9007c8c94fc77b5431dbd09a418ac411271aa5b679e17ff7c44a54740e1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-04-16T10:57:43Z",
    "title_canon_sha256": "b939d82647f9ebb176203f4fc3c394a9fb878f7d75d8b194a40f1524204fea04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4397",
    "kind": "arxiv",
    "version": 5
  }
}