Pith Number

pith:DUZXR4KJ

pith:2015:DUZXR4KJI6IMXIWKEMMI6NHMOW

not attested not anchored not stored refs pending

Stochastic Stability Analysis of Discrete Time System Using Lyapunov Measure

Umesh Vaidya

arxiv:1503.04438 v2 · 2015-03-15 · math.DS · cs.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{DUZXR4KJI6IMXIWKEMMI6NHMOW}

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	2026-05-18T00:50:35.979980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d3378f1494790cba2ca23188f34ec75bf3228046125a1faad81ce6c471236ed

Aliases

arxiv: 1503.04438 · arxiv_version: 1503.04438v2 · doi: 10.48550/arxiv.1503.04438 · pith_short_12: DUZXR4KJI6IM · pith_short_16: DUZXR4KJI6IMXIWK · pith_short_8: DUZXR4KJ

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/DUZXR4KJI6IMXIWKEMMI6NHMOW \
  | 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: 1d3378f1494790cba2ca23188f34ec75bf3228046125a1faad81ce6c471236ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b0ccb135cd7893112a62b7ec1ec4fbf1ead1273a78fb39b297232798b86f383",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-15T16:00:22Z",
    "title_canon_sha256": "b28a774c9bf914db14b7014fdcb8c8dd65ca7b9d57711d1776276660fbc89482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04438",
    "kind": "arxiv",
    "version": 2
  }
}