Pith Number

pith:7X742EQG

pith:2011:7X742EQG7P7T2E2CBLQE46UIPU

not attested not anchored not stored refs pending

Contraction analysis of switched systems: the case of Caratheodory Systems and Networks

Davide Liuzza, Giovanni Russo, Mario di Bernardo

arxiv:1110.0855 v1 · 2011-10-04 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X742EQG7P7T2E2CBLQE46UIPU}

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	2026-05-18T04:11:40.365197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdffcd1206fbff3d13420ae04e7a887d0eba6165485ae5163ee473c01a644c54

Aliases

arxiv: 1110.0855 · arxiv_version: 1110.0855v1 · doi: 10.48550/arxiv.1110.0855 · pith_short_12: 7X742EQG7P7T · pith_short_16: 7X742EQG7P7T2E2C · pith_short_8: 7X742EQG

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/7X742EQG7P7T2E2CBLQE46UIPU \
  | 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: fdffcd1206fbff3d13420ae04e7a887d0eba6165485ae5163ee473c01a644c54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd56d4671470188a6455d77bd19e8237a7007f828cc6d0bba1c112d344d818ea",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-04T21:20:19Z",
    "title_canon_sha256": "56ed24544722bbf4ed1a5f46c97c7f6880edd1f9372ed2630756340e27df7254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0855",
    "kind": "arxiv",
    "version": 1
  }
}