Pith Number

pith:DVITI3CX

pith:2019:DVITI3CXAX7AP75U5RM3TNUCL7

not attested not anchored not stored refs pending

Homological dimensions of Banach spaces

F\'elix Cabello S\'anchez, Jes\'us M .F. Castillo, Ricardo Garc\'ia

arxiv:1908.06526 v2 · 2019-08-18 · 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{DVITI3CXAX7AP75U5RM3TNUCL7}

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	2026-07-05T00:59:53.641199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d51346c5705fe07ffb4ec59b9b6825fc06952d6261e22eab02aec62026c42f4

Aliases

arxiv: 1908.06526 · arxiv_version: 1908.06526v2 · doi: 10.48550/arxiv.1908.06526 · pith_short_12: DVITI3CXAX7A · pith_short_16: DVITI3CXAX7AP75U · pith_short_8: DVITI3CX

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/DVITI3CXAX7AP75U5RM3TNUCL7 \
  | 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: 1d51346c5705fe07ffb4ec59b9b6825fc06952d6261e22eab02aec62026c42f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d9e1a243944825a6243ea11078b7e17e126733f30039b939eaf2e1dc0733b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-18T22:40:00Z",
    "title_canon_sha256": "fd45b9cd94d91b4a3e862611b89fd3d9c6223ab0c8897cb304444ff3849abbee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06526",
    "kind": "arxiv",
    "version": 2
  }
}