Pith Number

pith:4LQM6FUZ

pith:2011:4LQM6FUZ35KKCETCHXEOL3NH5F

not attested not anchored not stored refs pending

Construction of the Noncommutative Complex Ball

Zhituo Wang

arxiv:1110.2632 v2 · 2011-10-12 · math-ph · hep-th · math.FA · math.GR · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LQM6FUZ35KKCETCHXEOL3NH5F}

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	2026-05-18T02:43:00.990160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2e0cf1699df54a112623dc8e5eda7e94dca1606b13cd41848bdb6bb84debc88

Aliases

arxiv: 1110.2632 · arxiv_version: 1110.2632v2 · doi: 10.48550/arxiv.1110.2632 · pith_short_12: 4LQM6FUZ35KK · pith_short_16: 4LQM6FUZ35KKCETC · pith_short_8: 4LQM6FUZ

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/4LQM6FUZ35KKCETCHXEOL3NH5F \
  | 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: e2e0cf1699df54a112623dc8e5eda7e94dca1606b13cd41848bdb6bb84debc88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41af2732aaf507ed44e7063d064692d55808e3f84ffbf82a011fb943b5e1a406",
    "cross_cats_sorted": [
      "hep-th",
      "math.FA",
      "math.GR",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-12T11:14:46Z",
    "title_canon_sha256": "78d7f359cbeb2f44575c15b7d517bc575570b6c8a52aaf40ad925ae20f7b0624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2632",
    "kind": "arxiv",
    "version": 2
  }
}