Pith Number

pith:GQSWQROM

pith:2017:GQSWQROMNE45RLKMVMKRZ5AI5P

not attested not anchored not stored refs pending

Extending representations of Banach algebras to their biduals

Eusebio Gardella, Hannes Thiel

arxiv:1703.00882 v2 · 2017-03-02 · math.FA · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQSWQROMNE45RLKMVMKRZ5AI5P}

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	2026-05-18T00:20:22.308441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34256845cc6939d8ad4cab151cf408ebd8495e15c8566047882d7fc674e7cf27

Aliases

arxiv: 1703.00882 · arxiv_version: 1703.00882v2 · doi: 10.48550/arxiv.1703.00882 · pith_short_12: GQSWQROMNE45 · pith_short_16: GQSWQROMNE45RLKM · pith_short_8: GQSWQROM

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/GQSWQROMNE45RLKMVMKRZ5AI5P \
  | 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: 34256845cc6939d8ad4cab151cf408ebd8495e15c8566047882d7fc674e7cf27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca5807deeac3b4c9c0ffb85df7f5a6db6b0c5c71bc0a413c7d0b0633ab09074",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-02T18:17:22Z",
    "title_canon_sha256": "797e42f907fed5d7ad832da82ea2ea6d2d9259e19ba7858faed4bca620a52f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00882",
    "kind": "arxiv",
    "version": 2
  }
}