Pith Number

pith:5U5N3ARF

pith:2017:5U5N3ARFVV5MNVWIY544CL36BR

not attested not anchored not stored refs pending

When is multiplication in a Banach algebra open?

Szymon Draga, Tomasz Kania

arxiv:1704.08608 v2 · 2017-04-27 · 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{5U5N3ARFVV5MNVWIY544CL36BR}

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	2026-05-18T00:33:32.112716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed3add8225ad7ac6d6c8c779c12f7e0c76745d59ef61970ed5acc11917210154

Aliases

arxiv: 1704.08608 · arxiv_version: 1704.08608v2 · doi: 10.48550/arxiv.1704.08608 · pith_short_12: 5U5N3ARFVV5M · pith_short_16: 5U5N3ARFVV5MNVWI · pith_short_8: 5U5N3ARF

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/5U5N3ARFVV5MNVWIY544CL36BR \
  | 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: ed3add8225ad7ac6d6c8c779c12f7e0c76745d59ef61970ed5acc11917210154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df9d2dd9a9e49defcb771b654a23fc565e0823b8502e7ac21a685c1550b79d22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-27T14:53:56Z",
    "title_canon_sha256": "82b3547e4736de66939cee2e0ff79d3ee2180de89a53a0228cc9845e0393f6b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08608",
    "kind": "arxiv",
    "version": 2
  }
}