Pith Number

pith:MHRGX27O

pith:2013:MHRGX27O2FPW6NAETCTSBECYN5

not attested not anchored not stored refs pending

A Local Characterization of Lyapunov Functions and Robust Stability of Perturbed Systems on Riemannian Manifolds

Dragan Ne\v{s}i\'c, Farzin Taringoo, Peter M. Dower, Ying Tan

arxiv:1311.0078 v2 · 2013-11-01 · 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{MHRGX27O2FPW6NAETCTSBECYN5}

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	2026-05-18T02:49:09.914844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e26bebeed15f6f340498a72090586f432a3a978063b9ce676797a422317ef6

Aliases

arxiv: 1311.0078 · arxiv_version: 1311.0078v2 · doi: 10.48550/arxiv.1311.0078 · pith_short_12: MHRGX27O2FPW · pith_short_16: MHRGX27O2FPW6NAE · pith_short_8: MHRGX27O

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/MHRGX27O2FPW6NAETCTSBECYN5 \
  | 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: 61e26bebeed15f6f340498a72090586f432a3a978063b9ce676797a422317ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "360769038fc17126390cca5911f33c6326e6c99e2bde2d913b37051cde671606",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-01T02:49:34Z",
    "title_canon_sha256": "63b345327126b3c5040cd748057bf9f0488906b2b617365448c230a4d4d5a9d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0078",
    "kind": "arxiv",
    "version": 2
  }
}