Pith Number

pith:R32YDUGI

pith:2015:R32YDUGIVGHN2LFPCMQXRI5DYG

not attested not anchored not stored refs pending

Strict comparison of positive elements in multiplier algebras

Ping Ng, Shuang Zhang, Victor Kaftal

arxiv:1501.05463 v1 · 2015-01-22 · 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{R32YDUGIVGHN2LFPCMQXRI5DYG}

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	2026-05-18T02:28:54.590567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef581d0c8a98edd2caf132178a3a3c1a7e67e421bb97cd61c65d78b4d21a3fb

Aliases

arxiv: 1501.05463 · arxiv_version: 1501.05463v1 · doi: 10.48550/arxiv.1501.05463 · pith_short_12: R32YDUGIVGHN · pith_short_16: R32YDUGIVGHN2LFP · pith_short_8: R32YDUGI

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/R32YDUGIVGHN2LFPCMQXRI5DYG \
  | 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: 8ef581d0c8a98edd2caf132178a3a3c1a7e67e421bb97cd61c65d78b4d21a3fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "913da45e8e4ccbd93486b3ff66b9a45a69d65c4080e41cd45d4aa8a1617711ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-01-22T11:28:07Z",
    "title_canon_sha256": "1eb36bb333f31a22b5bf2d61c92f684bfdbd345cb2556e9da580fccfaa6904e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05463",
    "kind": "arxiv",
    "version": 1
  }
}