Pith Number

pith:ORE6R7TK

pith:2024:ORE6R7TKRB3PXYUYYT2H6G3TKH

not attested not anchored not stored refs pending

$p$-nuclearity of reduced group $L^p$-operator algebras

Zhen Wang

arxiv:2412.18643 v1 · 2024-12-24 · 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{ORE6R7TKRB3PXYUYYT2H6G3TKH}

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	2026-07-05T09:54:08.452138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7449e8fe6a8876fbe298c4f47f1b7351f5fc52a19b0826f98ca3f61599e2cff3

Aliases

arxiv: 2412.18643 · arxiv_version: 2412.18643v1 · doi: 10.48550/arxiv.2412.18643 · pith_short_12: ORE6R7TKRB3P · pith_short_16: ORE6R7TKRB3PXYUY · pith_short_8: ORE6R7TK

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/ORE6R7TKRB3PXYUYYT2H6G3TKH \
  | 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: 7449e8fe6a8876fbe298c4f47f1b7351f5fc52a19b0826f98ca3f61599e2cff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5aba7abc5dec8dafeb318a9d3df16bfeaffc5e9ce3f6c8e0ca532e089e3de04",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-12-24T10:24:59Z",
    "title_canon_sha256": "4eeb854b619155e3d2f986712ba34709528e512056cbbed61cf0c649020f8773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18643",
    "kind": "arxiv",
    "version": 1
  }
}