Pith Number

pith:I7GWD232

pith:2016:I7GWD2325QVZ5LFU7XQC5HVT4U

not attested not anchored not stored refs pending

Continuous perturbations of noncommutative Euclidean spaces and tori

Li Gao

arxiv:1605.06846 v2 · 2016-05-22 · 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{I7GWD2325QVZ5LFU7XQC5HVT4U}

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	2026-05-18T00:56:12.126339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47cd61eb7aec2b9eacb4fde02e9eb3e52d691634a73dd9eaf8ebc14ebfcb97f1

Aliases

arxiv: 1605.06846 · arxiv_version: 1605.06846v2 · doi: 10.48550/arxiv.1605.06846 · pith_short_12: I7GWD2325QVZ · pith_short_16: I7GWD2325QVZ5LFU · pith_short_8: I7GWD232

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/I7GWD2325QVZ5LFU7XQC5HVT4U \
  | 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: 47cd61eb7aec2b9eacb4fde02e9eb3e52d691634a73dd9eaf8ebc14ebfcb97f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03eb2c323ebba81f32cd06b5bd637eb120dfa2641d468f6e0ed71f4db5b0fe9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-05-22T20:05:12Z",
    "title_canon_sha256": "23c72c9fe42ea238873faa4b99592e3a14ce9a0665cba063016252d41a6a188b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06846",
    "kind": "arxiv",
    "version": 2
  }
}