Pith Number

pith:QR4WGKGM

pith:2011:QR4WGKGMRGZ4XNQOFKYJBNJB6F

not attested not anchored not stored refs pending

$\alpha$-minimal Banach spaces

Christian Rosendal

arxiv:1104.3543 v1 · 2011-04-18 · math.FA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QR4WGKGMRGZ4XNQOFKYJBNJB6F}

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	2026-05-18T04:24:04.520845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84796328cc89b3cbb60e2ab090b521f150610e4b6f0425bc2e39d36833c52289

Aliases

arxiv: 1104.3543 · arxiv_version: 1104.3543v1 · doi: 10.48550/arxiv.1104.3543 · pith_short_12: QR4WGKGMRGZ4 · pith_short_16: QR4WGKGMRGZ4XNQO · pith_short_8: QR4WGKGM

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/QR4WGKGMRGZ4XNQOFKYJBNJB6F \
  | 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: 84796328cc89b3cbb60e2ab090b521f150610e4b6f0425bc2e39d36833c52289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bba5fc7a75be526f295decd16da7dee48ff94a8cc580b8e10803cdac61182c5",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-18T17:04:43Z",
    "title_canon_sha256": "4bab47b160aa2a69e83b9097ecec7676ff3c5c4d327af299d6be0720040e3fe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3543",
    "kind": "arxiv",
    "version": 1
  }
}