Pith Number

pith:XZO4DJLG

pith:2011:XZO4DJLGQSZ7XMYIDNGEFVHNEO

not attested not anchored not stored refs pending

Lineability and spaceability for the weak form of Peano's theorem and vector-valued sequence spaces

Cleon Barroso, Daniel Pellegrino, Geraldo Botelho, Vin\'icius V. F\'avaro

arxiv:1105.2845 v2 · 2011-05-13 · 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{XZO4DJLGQSZ7XMYIDNGEFVHNEO}

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	2026-05-18T01:31:20.153519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be5dc1a56684b3fbb3081b4c42d4ed23a71e04707fcc9bea1a9b27f9fcc322d0

Aliases

arxiv: 1105.2845 · arxiv_version: 1105.2845v2 · doi: 10.48550/arxiv.1105.2845 · pith_short_12: XZO4DJLGQSZ7 · pith_short_16: XZO4DJLGQSZ7XMYI · pith_short_8: XZO4DJLG

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/XZO4DJLGQSZ7XMYIDNGEFVHNEO \
  | 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: be5dc1a56684b3fbb3081b4c42d4ed23a71e04707fcc9bea1a9b27f9fcc322d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c722617fc7a0982a963fabcf8939e52d7e3e3c61d0ce01e45f4e9260fc850d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-13T22:03:30Z",
    "title_canon_sha256": "7aff4a22a3e34900815464df0a39ad740546a3a9987467e912382a9d4e49b691"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2845",
    "kind": "arxiv",
    "version": 2
  }
}