Pith Number

pith:4XVEJF4Z

pith:1996:4XVEJF4ZXDSGE5DXWNVS5R3WBK

not attested not anchored not stored refs pending

Linear maps between C*-algebras whose adjoints preserve extreme points of the dual ball

Louis E. Labuschagne, Vania Mascioni

arxiv:math/9604213 v1 · 1996-04-07 · 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{4XVEJF4ZXDSGE5DXWNVS5R3WBK}

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	2026-05-18T01:05:47.648976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ea449799b8e4627477b36b2ec7760a816f35f77a2c707de757692e9ee21862

Aliases

arxiv: math/9604213 · arxiv_version: math/9604213v1 · doi: 10.48550/arxiv.math/9604213 · pith_short_12: 4XVEJF4ZXDSG · pith_short_16: 4XVEJF4ZXDSGE5DX · pith_short_8: 4XVEJF4Z

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/4XVEJF4ZXDSGE5DXWNVS5R3WBK \
  | 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: e5ea449799b8e4627477b36b2ec7760a816f35f77a2c707de757692e9ee21862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc1a1514c2002ddb722ef8863aa61ca5bfab143d2de161bb420debfac104ffa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1996-04-07T00:00:00Z",
    "title_canon_sha256": "e0ab4d371a4458f4497b78397b9fabaf81d469df5f3478493aead55a92f06f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9604213",
    "kind": "arxiv",
    "version": 1
  }
}