Pith Number

pith:FVO73JPE

pith:2017:FVO73JPEESG2ROU5YEAW7HFZ32

not attested not anchored not stored refs pending

LaSalle Invariance Principle for Discrete-time Dynamical Systems: A Concise and Self-contained Tutorial

Francesco Bullo, Wenjun Mei

arxiv:1710.03710 v5 · 2017-10-10 · math.DS · cs.SY · eess.SY · 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{FVO73JPEESG2ROU5YEAW7HFZ32}

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	2026-06-04T19:11:04.648071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d5dfda5e4248da8ba9dc1016f9cb9de87c9a84c619daf457253c3f5fdcb0a45

Aliases

arxiv: 1710.03710 · arxiv_version: 1710.03710v5 · doi: 10.48550/arxiv.1710.03710 · pith_short_12: FVO73JPEESG2 · pith_short_16: FVO73JPEESG2ROU5 · pith_short_8: FVO73JPE

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/FVO73JPEESG2ROU5YEAW7HFZ32 \
  | 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: 2d5dfda5e4248da8ba9dc1016f9cb9de87c9a84c619daf457253c3f5fdcb0a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a04c8e2d5e132a2cdaaeadf9d9729f40673cefb270c17306293444892986a4bb",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-10T16:31:09Z",
    "title_canon_sha256": "ce749ce8d08d681637ee7a57ce30743cd85fa595260ac9eb67536aef118bac70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03710",
    "kind": "arxiv",
    "version": 5
  }
}