Pith Number

pith:TL7ZR5DA

pith:2018:TL7ZR5DAN7BE23S577K5VCK6E6

not attested not anchored not stored refs pending

On the bounded approximation property on subspaces of $\ell_p$ when $0<p<1$ and related issues

F\'elix Cabello S\'anchez, Jes\'us M. F. Castillo, Yolanda Moreno

arxiv:1808.03169 v1 · 2018-08-09 · 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{TL7ZR5DAN7BE23S577K5VCK6E6}

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	2026-05-18T00:08:30.005462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9aff98f4606fc24d6e5dffd5da895e27bbc153f29f54b27c1212ff26f2e4186b

Aliases

arxiv: 1808.03169 · arxiv_version: 1808.03169v1 · doi: 10.48550/arxiv.1808.03169 · pith_short_12: TL7ZR5DAN7BE · pith_short_16: TL7ZR5DAN7BE23S5 · pith_short_8: TL7ZR5DA

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/TL7ZR5DAN7BE23S577K5VCK6E6 \
  | 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: 9aff98f4606fc24d6e5dffd5da895e27bbc153f29f54b27c1212ff26f2e4186b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1489341fe214ffa40992683e9bd4a978e7c7554f80786696d8898a53eefaef2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-09T13:57:29Z",
    "title_canon_sha256": "70e5f8866fcc8a2bde7e4ed34a0f7803701e73548912a81266d552d66b1d94c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03169",
    "kind": "arxiv",
    "version": 1
  }
}