Pith Number

pith:5EIJUOES

pith:2025:5EIJUOESPQBFWXSF4CZTH35374

not attested not anchored not stored refs pending

On the differentiability of the value function of switched linear systems under arbitrary and controlled switching

Guillaume O. Berger

arxiv:2511.20037 v2 · 2025-11-25 · 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{5EIJUOESPQBFWXSF4CZTH35374}

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	2026-07-07T02:17:14.209991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9109a38927c025b5e45e0b333efbbff027987bc4d4472afd1d149d063b3f70f

Aliases

arxiv: 2511.20037 · arxiv_version: 2511.20037v2 · doi: 10.48550/arxiv.2511.20037 · pith_short_12: 5EIJUOESPQBF · pith_short_16: 5EIJUOESPQBFWXSF · pith_short_8: 5EIJUOES

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/5EIJUOESPQBFWXSF4CZTH35374 \
  | 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: e9109a38927c025b5e45e0b333efbbff027987bc4d4472afd1d149d063b3f70f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfe3b934df875de50e186017975e0a4f965ea9d1326b7c33cf0922d1cbd7be2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-11-25T08:06:36Z",
    "title_canon_sha256": "c03ccd29a6bc75753f1343bd38a6940b9090405b912ced690b971902512bd168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.20037",
    "kind": "arxiv",
    "version": 2
  }
}