Pith Number

pith:UVNWD7W3

pith:2014:UVNWD7W3DSVLR67WLNVHFUEQ5L

not attested not anchored not stored refs pending

Banach spaces of polynomials as "large" subspaces of $\mathbf{\ell^\infty}$-spaces

Alexander Brudnyi

arxiv:1402.2303 v2 · 2014-02-10 · 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{UVNWD7W3DSVLR67WLNVHFUEQ5L}

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	2026-05-18T02:53:39.702080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a55b61fedb1caab8fbf65b6a72d090eae0d96d65df6ade667108bac403a6241b

Aliases

arxiv: 1402.2303 · arxiv_version: 1402.2303v2 · doi: 10.48550/arxiv.1402.2303 · pith_short_12: UVNWD7W3DSVL · pith_short_16: UVNWD7W3DSVLR67W · pith_short_8: UVNWD7W3

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/UVNWD7W3DSVLR67WLNVHFUEQ5L \
  | 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: a55b61fedb1caab8fbf65b6a72d090eae0d96d65df6ade667108bac403a6241b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a36755ab27e2bad6caa131c684f5047f46c444cc787e58ae6f9b2647b85dcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-10T21:21:28Z",
    "title_canon_sha256": "e163954da607b4c835a845b3d11b7bbefc32a9fbf04f988f02d2c7b5fe8fecb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2303",
    "kind": "arxiv",
    "version": 2
  }
}