Pith Number

pith:JSSFCHDZ

pith:2014:JSSFCHDZ57UDHE4QXUL4R5CL5W

not attested not anchored not stored refs pending

Matrix semigroups with constant spectral radius

Andrey Voynov, Vladimir Protasov

arxiv:1407.6568 v1 · 2014-07-24 · math.MG · 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{JSSFCHDZ57UDHE4QXUL4R5CL5W}

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	2026-05-18T02:46:38.446911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ca4511c79efe8339390bd17c8f44beda80ff149cc160a85e902dbebc088734f

Aliases

arxiv: 1407.6568 · arxiv_version: 1407.6568v1 · doi: 10.48550/arxiv.1407.6568 · pith_short_12: JSSFCHDZ57UD · pith_short_16: JSSFCHDZ57UDHE4Q · pith_short_8: JSSFCHDZ

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/JSSFCHDZ57UDHE4QXUL4R5CL5W \
  | 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: 4ca4511c79efe8339390bd17c8f44beda80ff149cc160a85e902dbebc088734f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c390bb4ee7bd2835bec4d4028139898811dd02d047f9e22a21b596a44146e20",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-07-24T13:23:26Z",
    "title_canon_sha256": "75441348230426d6a44db058ccf5a7fb9ee319ff5ebfd7c44ea969eca96aad5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6568",
    "kind": "arxiv",
    "version": 1
  }
}