Pith Number

pith:YPHLAJUB

pith:2022:YPHLAJUBMDKYWSVYLUWARG5S4K

not attested not anchored not stored refs pending

The length of switching intervals of a stable linear system

Rinat Kamalov, Vladimir Yu. Protasov

arxiv:2209.12219 v1 · 2022-09-25 · math.OC · math.DS · 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{YPHLAJUBMDKYWSVYLUWARG5S4K}

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	2026-07-05T05:00:50.020669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ceb0268160d58b4ab85d2c089bb2e2ba260e6639e37109279e9d527dda7380

Aliases

arxiv: 2209.12219 · arxiv_version: 2209.12219v1 · doi: 10.48550/arxiv.2209.12219 · pith_short_12: YPHLAJUBMDKY · pith_short_16: YPHLAJUBMDKYWSVY · pith_short_8: YPHLAJUB

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/YPHLAJUBMDKYWSVYLUWARG5S4K \
  | 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: c3ceb0268160d58b4ab85d2c089bb2e2ba260e6639e37109279e9d527dda7380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2536a3bf659730e44628c958e84c8633b77848a07a9452c34b4351f04329473",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-09-25T13:36:19Z",
    "title_canon_sha256": "57c016e97d3dbaa493124312f10fe490693590cec36cc5e2c147999a7ff56dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12219",
    "kind": "arxiv",
    "version": 1
  }
}