Pith Number

pith:GMCVMNE4

pith:2025:GMCVMNE4IQADIUPGHUPX5WH5GW

not attested not anchored not stored refs pending

Perron matrix semigroups

Vladimir Yu. Protasov

arxiv:2502.10571 v2 · 2025-02-14 · math.RA · 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{GMCVMNE4IQADIUPGHUPX5WH5GW}

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	2026-05-18T03:09:45.986348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330556349c44003451e63d1f7ed8fd3596c1ba4e65b00eabb93421afef3c0882

Aliases

arxiv: 2502.10571 · arxiv_version: 2502.10571v2 · doi: 10.48550/arxiv.2502.10571 · pith_short_12: GMCVMNE4IQAD · pith_short_16: GMCVMNE4IQADIUPG · pith_short_8: GMCVMNE4

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/GMCVMNE4IQADIUPGHUPX5WH5GW \
  | 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: 330556349c44003451e63d1f7ed8fd3596c1ba4e65b00eabb93421afef3c0882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6db431400ad43958239dca7c56a795efbdc7ef8c8d5d801a6310ad6e3870a6",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-02-14T21:49:29Z",
    "title_canon_sha256": "7df4bc99d128078475f516fe5c60a51a397b0ce60cdc1dbf62a525a4e3108074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.10571",
    "kind": "arxiv",
    "version": 2
  }
}