Pith Number

pith:XJGFD7ET

pith:2018:XJGFD7ETJY7LWG2JZWFCJRFTLA

not attested not anchored not stored refs pending

Frobenius-Perron dimensions of integral $\Bbb Z_+$-rings and applications

Pavel Etingof

arxiv:1812.06556 v1 · 2018-12-16 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJGFD7ETJY7LWG2JZWFCJRFTLA}

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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.

Cited by

1 paper in Pith

On Frobenius-Perron Dimension

Receipt and verification

First computed	2026-05-17T23:58:09.882969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba4c51fc934e3ebb1b49cd8a24c4b35804226ce4b0cffa0c8edfeeb171f5d0b2

Aliases

arxiv: 1812.06556 · arxiv_version: 1812.06556v1 · doi: 10.48550/arxiv.1812.06556 · pith_short_12: XJGFD7ETJY7L · pith_short_16: XJGFD7ETJY7LWG2J · pith_short_8: XJGFD7ET

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/XJGFD7ETJY7LWG2JZWFCJRFTLA \
  | 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: ba4c51fc934e3ebb1b49cd8a24c4b35804226ce4b0cffa0c8edfeeb171f5d0b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7cead2de7fe1feef253be98cb08225b6248980fe17856913df2b4e4fc235a0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-12-16T23:37:10Z",
    "title_canon_sha256": "8a973083a8e5e7383c94b968e970a84475b6dcdfb273e1b1de8c56463e61df7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06556",
    "kind": "arxiv",
    "version": 1
  }
}