Pith Number

pith:R7HGTQBV

pith:2018:R7HGTQBVJLWMKNRG36TQSEGNNZ

not attested not anchored not stored refs pending

Bilinear forms and the $\Ext^2$-problem in Banach spaces

Jes\'us M. F. Castillo, Ricardo Garc\'ia

arxiv:1808.03173 v1 · 2018-08-09 · 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{R7HGTQBVJLWMKNRG36TQSEGNNZ}

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	2026-05-18T00:08:29.976953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fce69c0354aecc53626dfa70910cd6e4747c042e30d6c63174c2c1d9a286d2d

Aliases

arxiv: 1808.03173 · arxiv_version: 1808.03173v1 · doi: 10.48550/arxiv.1808.03173 · pith_short_12: R7HGTQBVJLWM · pith_short_16: R7HGTQBVJLWMKNRG · pith_short_8: R7HGTQBV

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/R7HGTQBVJLWMKNRG36TQSEGNNZ \
  | 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: 8fce69c0354aecc53626dfa70910cd6e4747c042e30d6c63174c2c1d9a286d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc1cc611d6c6f7cae4ead63cda69f2090afa2f5274f8e18e8a9e8381f6df1e58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-09T14:01:35Z",
    "title_canon_sha256": "4299eb81bc4f5824237463d0da8952a8eba410bb2e6b089386088e383b56931d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03173",
    "kind": "arxiv",
    "version": 1
  }
}