Pith Number

pith:WLJMV7FX

pith:2019:WLJMV7FXEZ7YZUJLFTV7GNOOZF

not attested not anchored not stored refs pending

An entropy-based bound for the computational complexity of a switched system

Beno\^it Legat, Pablo A. Parrilo, Rapha\"el M. Jungers

arxiv:1907.00655 v1 · 2019-07-01 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLJMV7FXEZ7YZUJLFTV7GNOOZF}

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	2026-05-17T23:41:41.601094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d2cafcb7267f8cd12b2cebf335cec95fe874c7f807c8b9623c68b4f163eb79

Aliases

arxiv: 1907.00655 · arxiv_version: 1907.00655v1 · doi: 10.48550/arxiv.1907.00655 · pith_short_12: WLJMV7FXEZ7Y · pith_short_16: WLJMV7FXEZ7YZUJL · pith_short_8: WLJMV7FX

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/WLJMV7FXEZ7YZUJLFTV7GNOOZF \
  | 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: b2d2cafcb7267f8cd12b2cebf335cec95fe874c7f807c8b9623c68b4f163eb79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07b8c86c65db577769c29df7ff482a2c925790e385fe644bd1d3cf5dc852951a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-01T11:00:32Z",
    "title_canon_sha256": "a9e3537b66d5e88b7952cd095113e4effbccedd35461be7635bb41f4249fd502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00655",
    "kind": "arxiv",
    "version": 1
  }
}