Pith Number

pith:ATY7HXVT

pith:2015:ATY7HXVTKEJPX2URBOYSJYJPJH

not attested not anchored not stored refs pending

A small-gain theorem for nonlinear stochastic systems with inputs and outputs I: Additive white noise

Jifa Jiang, Xiang Lv

arxiv:1510.04441 v2 · 2015-10-15 · 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{ATY7HXVTKEJPX2URBOYSJYJPJH}

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	2026-05-18T01:08:26.315383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f1f3deb35112fbea910bb124e12f49f031cc4807543e2aabdf16fef10a4f5c

Aliases

arxiv: 1510.04441 · arxiv_version: 1510.04441v2 · doi: 10.48550/arxiv.1510.04441 · pith_short_12: ATY7HXVTKEJP · pith_short_16: ATY7HXVTKEJPX2UR · pith_short_8: ATY7HXVT

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/ATY7HXVTKEJPX2URBOYSJYJPJH \
  | 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: 04f1f3deb35112fbea910bb124e12f49f031cc4807543e2aabdf16fef10a4f5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aefdcac26a7e77635a2e4df5d2fb67d71a942221f5c21f09f89f2249c241e294",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-15T08:19:37Z",
    "title_canon_sha256": "991d676ec81cf0a71425b622ff460caa20ef4bb2ee2ac73c295f1dcdf3da4d73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04441",
    "kind": "arxiv",
    "version": 2
  }
}