Pith Number

pith:43E7R4WD

pith:2014:43E7R4WDQCFF5KWXLKSCED3AVO

not attested not anchored not stored refs pending

Non-existence of greedy bases in direct sums of mixed $\ell_{p}$ spaces

Fernando Albiac, Jos\'e L. Ansorena

arxiv:1401.0693 v2 · 2014-01-03 · 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{43E7R4WDQCFF5KWXLKSCED3AVO}

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	2026-05-18T03:01:45.709631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6c9f8f2c3808a5eaad75aa4220f60ab86e987e946ebe93727caa6240fbd3fc6

Aliases

arxiv: 1401.0693 · arxiv_version: 1401.0693v2 · doi: 10.48550/arxiv.1401.0693 · pith_short_12: 43E7R4WDQCFF · pith_short_16: 43E7R4WDQCFF5KWX · pith_short_8: 43E7R4WD

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/43E7R4WDQCFF5KWXLKSCED3AVO \
  | 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: e6c9f8f2c3808a5eaad75aa4220f60ab86e987e946ebe93727caa6240fbd3fc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac4b38aa3d2390454a207ca2e6222866afb5827ebe7f6b2564d726cd4a1e83d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-01-03T18:10:14Z",
    "title_canon_sha256": "681c18af0631db6a8b126db4ff9ee1ebea615d741fd9bdd122a709367861a6cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0693",
    "kind": "arxiv",
    "version": 2
  }
}