Pith Number

pith:R25G4RWX

pith:2014:R25G4RWX5ZRTUVA2JQ7TNJP6KB

not attested not anchored not stored refs pending

On the positive commutator in the radical

Klemen \v{S}ivic, Marko Kandi\'c

arxiv:1405.4988 v1 · 2014-05-20 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R25G4RWX5ZRTUVA2JQ7TNJP6KB}

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	2026-05-18T01:18:19.197954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eba6e46d7ee633a541a4c3f36a5fe50434d6880901e0b2a0f76d77d513d4794

Aliases

arxiv: 1405.4988 · arxiv_version: 1405.4988v1 · doi: 10.48550/arxiv.1405.4988 · pith_short_12: R25G4RWX5ZRT · pith_short_16: R25G4RWX5ZRTUVA2 · pith_short_8: R25G4RWX

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/R25G4RWX5ZRTUVA2JQ7TNJP6KB \
  | 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: 8eba6e46d7ee633a541a4c3f36a5fe50434d6880901e0b2a0f76d77d513d4794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1992e95f9bcd77609df1000d699e64970e2abb7257681ec674747a03e5586dc6",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-05-20T08:24:07Z",
    "title_canon_sha256": "dba5547816487eefec8b2bad68f816b69525e603b81c35ea8a65c440dfddfa37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4988",
    "kind": "arxiv",
    "version": 1
  }
}