Pith Number

pith:KKDDKSDT

pith:2015:KKDDKSDT4XKCFGRYPPOCPHKODL

not attested not anchored not stored refs pending

The positive contractive part of a Noncommutative $L^p$-space is a complete Jordan invariant

Chi-Keung Ng, Chi-Wai Leung, Ngai-Ching Wong

arxiv:1511.01217 v1 · 2015-11-04 · 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{KKDDKSDT4XKCFGRYPPOCPHKODL}

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	2026-05-18T01:27:47.791106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5286354873e5d4229a387bdc279d4e1ad6c77f251b5d37900a8aa07b3d2298e4

Aliases

arxiv: 1511.01217 · arxiv_version: 1511.01217v1 · doi: 10.48550/arxiv.1511.01217 · pith_short_12: KKDDKSDT4XKC · pith_short_16: KKDDKSDT4XKCFGRY · pith_short_8: KKDDKSDT

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/KKDDKSDT4XKCFGRYPPOCPHKODL \
  | 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: 5286354873e5d4229a387bdc279d4e1ad6c77f251b5d37900a8aa07b3d2298e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00965a769576b4a1cf9cdc574dc8c00eb35f73b39dc522e3d682f739c80c1552",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-04T06:42:49Z",
    "title_canon_sha256": "c53b05b7605062a5d991dd87de4aa00e7d924d4190cbebab90f71a7867f5c0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01217",
    "kind": "arxiv",
    "version": 1
  }
}