Pith Number

pith:QQ7I2K7A

pith:2019:QQ7I2K7AP3YD6CD6KFAIOWJKQO

not attested not anchored not stored refs pending

On Disjointly singular centralizers

Jes\'us M. F. Castillo, Valentin Ferenczi, Wilson Cuellar, Yolanda Moreno

arxiv:1905.08241 v1 · 2019-05-19 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQ7I2K7AP3YD6CD6KFAIOWJKQO}

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	2026-05-17T23:45:43.822311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843e8d2be07ef03f087e514087592a83bcf7123978b00ec84bbffd7eaa950b67

Aliases

arxiv: 1905.08241 · arxiv_version: 1905.08241v1 · doi: 10.48550/arxiv.1905.08241 · pith_short_12: QQ7I2K7AP3YD · pith_short_16: QQ7I2K7AP3YD6CD6 · pith_short_8: QQ7I2K7A

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/QQ7I2K7AP3YD6CD6KFAIOWJKQO \
  | 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: 843e8d2be07ef03f087e514087592a83bcf7123978b00ec84bbffd7eaa950b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b9accb7e68eaa7aa74b7d30d7661caf156fe2d1929d2444f27f339aadfd0189",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-19T08:34:49Z",
    "title_canon_sha256": "a50a4d8bd1ee3f78797390e546995cc62232950b50055bf93f2b874b6c198b6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08241",
    "kind": "arxiv",
    "version": 1
  }
}