Pith Number

pith:VAOQVXMJ

pith:2018:VAOQVXMJAMIUYHBXE3334YTGCT

not attested not anchored not stored refs pending

Lineability and spaceability: a new approach

Daniel Pellegrino, Daniel Tomaz, Vin\'icius F\'avaro

arxiv:1809.02132 v1 · 2018-09-06 · 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{VAOQVXMJAMIUYHBXE3334YTGCT}

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	2026-05-18T00:06:17.852948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81d0add8903114c1c3726f7be626614d2c4639d0dcc2a7db8110f6ee74600aa

Aliases

arxiv: 1809.02132 · arxiv_version: 1809.02132v1 · doi: 10.48550/arxiv.1809.02132 · pith_short_12: VAOQVXMJAMIU · pith_short_16: VAOQVXMJAMIUYHBX · pith_short_8: VAOQVXMJ

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/VAOQVXMJAMIUYHBXE3334YTGCT \
  | 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: a81d0add8903114c1c3726f7be626614d2c4639d0dcc2a7db8110f6ee74600aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "632b3472ab2bd485fe6fc6c641adf9b0c9b88843b505eb8de140208ba1011c98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-06T08:59:11Z",
    "title_canon_sha256": "79092ba984d5d88574d9daea976adf03144d38070293657b1ae1c089f96789b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02132",
    "kind": "arxiv",
    "version": 1
  }
}