Pith Number

pith:ZWZEDWSD

pith:2012:ZWZEDWSDPTNOH3DXIPKZJUPJZJ

not attested not anchored not stored refs pending

Subspaces of maximal dimension contained in $L_p(\Omega) - \bigcup\limits_{q<p} L_q (\Omega)$

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

arxiv:1204.2170 v2 · 2012-04-10 · 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{ZWZEDWSDPTNOH3DXIPKZJUPJZJ}

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	2026-05-18T01:31:20.100931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb241da437cdae3ec7743d594d1e9ca44dac2d8a74adb954ff25a562672d069

Aliases

arxiv: 1204.2170 · arxiv_version: 1204.2170v2 · doi: 10.48550/arxiv.1204.2170 · pith_short_12: ZWZEDWSDPTNO · pith_short_16: ZWZEDWSDPTNOH3DX · pith_short_8: ZWZEDWSD

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/ZWZEDWSDPTNOH3DXIPKZJUPJZJ \
  | 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: cdb241da437cdae3ec7743d594d1e9ca44dac2d8a74adb954ff25a562672d069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164ca80731751900ca91067d1f9878fd5a248b35e7146672d64f774ab1d4f349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-10T14:50:28Z",
    "title_canon_sha256": "998376dedede91b12f10b5648be03775965446d71e7681f78f7d535e2b7cf764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2170",
    "kind": "arxiv",
    "version": 2
  }
}