Pith Number

pith:V4Y5KWQ3

pith:2011:V4Y5KWQ3NVKPG7PPERHDTTEQE6

not attested not anchored not stored refs pending

Tightness of Banach spaces and Baire category

Gilles Godefroy, Valentin Ferenczi

arxiv:1111.6444 v1 · 2011-11-28 · 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{V4Y5KWQ3NVKPG7PPERHDTTEQE6}

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	2026-05-18T04:07:29.976020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af31d55a1b6d54f37def244e39cc9027801f33dc2b2889ad9c085e7a9bdf1ac1

Aliases

arxiv: 1111.6444 · arxiv_version: 1111.6444v1 · doi: 10.48550/arxiv.1111.6444 · pith_short_12: V4Y5KWQ3NVKP · pith_short_16: V4Y5KWQ3NVKPG7PP · pith_short_8: V4Y5KWQ3

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/V4Y5KWQ3NVKPG7PPERHDTTEQE6 \
  | 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: af31d55a1b6d54f37def244e39cc9027801f33dc2b2889ad9c085e7a9bdf1ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "883653a9ae81ef4b6525b8c06a13030c017ac81681e2795945bb9ae47b7d7303",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-28T13:47:03Z",
    "title_canon_sha256": "ba6e4015bce8cf24597835371b13537717ac08c8324bbfcbdf982e94206d6fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6444",
    "kind": "arxiv",
    "version": 1
  }
}