Pith Number

pith:WKNZ2G5J

pith:2015:WKNZ2G5J3DZNXQ4XPL6IGRJZBM

not attested not anchored not stored refs pending

The inverse along an element in rings with an involution, Banach algebras and $C^*$-algebras

Enrico Boasso, Julio Benitez

arxiv:1509.04251 v1 · 2015-09-14 · 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{WKNZ2G5J3DZNXQ4XPL6IGRJZBM}

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	2026-05-18T01:33:07.925100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29b9d1ba9d8f2dbc3977afc8345390b03eadf671298b5dec20dd3cf1cddd93c

Aliases

arxiv: 1509.04251 · arxiv_version: 1509.04251v1 · doi: 10.48550/arxiv.1509.04251 · pith_short_12: WKNZ2G5J3DZN · pith_short_16: WKNZ2G5J3DZNXQ4X · pith_short_8: WKNZ2G5J

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/WKNZ2G5J3DZNXQ4XPL6IGRJZBM \
  | 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: b29b9d1ba9d8f2dbc3977afc8345390b03eadf671298b5dec20dd3cf1cddd93c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "937b7ea3fdcd79becc8d4e65377ffa6ae91e627e1960a6a2e32a467ad4f480f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-09-14T19:27:03Z",
    "title_canon_sha256": "f39bc33c71944a5814b5120b6e4a0f6099ff04ef2825b50550924d1101f7fd3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04251",
    "kind": "arxiv",
    "version": 1
  }
}