Pith Number

pith:HW65NBY4

pith:2011:HW65NBY4DQSE5O3H5IPP6A3D5U

not attested not anchored not stored refs pending

$L_{p}[0,1] \setminus \bigcup\limits_{q>p} L_{q}[0,1]$ is spaceable for every $p>0$

D. Pellegrino, G. Botelho, J. B. Seoane-Sep\'ulveda, V. V. F\'avaro

arxiv:1106.0309 v1 · 2011-06-01 · 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{HW65NBY4DQSE5O3H5IPP6A3D5U}

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	2026-05-18T03:46:49.364106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dbdd6871c1c244ebb67ea1eff0363ed2ad508c1deabe90fec389d67c85cd568

Aliases

arxiv: 1106.0309 · arxiv_version: 1106.0309v1 · doi: 10.48550/arxiv.1106.0309 · pith_short_12: HW65NBY4DQSE · pith_short_16: HW65NBY4DQSE5O3H · pith_short_8: HW65NBY4

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/HW65NBY4DQSE5O3H5IPP6A3D5U \
  | 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: 3dbdd6871c1c244ebb67ea1eff0363ed2ad508c1deabe90fec389d67c85cd568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46c210ce6eb3d1c76e9ad3c449749eaf68f4c7decd3f4c8167fdff5cdcc2910e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-01T20:05:57Z",
    "title_canon_sha256": "cffe6b43c0a890f2c9cf8f1924e47f876836e5f3ae51c9c7bac886ab0256d145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0309",
    "kind": "arxiv",
    "version": 1
  }
}