Pith Number

pith:SHR5XPFW

pith:2015:SHR5XPFWTKLB3CJJQTXKK3WQY3

not attested not anchored not stored refs pending

Stationary and Ergodic Properties of Stochastic Non-Linear Systems Controlled over Communication Channels

Serdar Y\"uksel

arxiv:1506.04013 v4 · 2015-06-12 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHR5XPFWTKLB3CJJQTXKK3WQY3}

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	2026-05-18T01:08:21.200034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91e3dbbcb69a961d892984eea56ed0c6caedc7bb6f2532212d006da403490bf6

Aliases

arxiv: 1506.04013 · arxiv_version: 1506.04013v4 · doi: 10.48550/arxiv.1506.04013 · pith_short_12: SHR5XPFWTKLB · pith_short_16: SHR5XPFWTKLB3CJJ · pith_short_8: SHR5XPFW

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/SHR5XPFWTKLB3CJJQTXKK3WQY3 \
  | 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: 91e3dbbcb69a961d892984eea56ed0c6caedc7bb6f2532212d006da403490bf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8721522fbeb75aec08ce9f9cb9abf6abef36a44cfa4f6fcc4684f511bf328f51",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-12T13:19:12Z",
    "title_canon_sha256": "4e32e427bdb8df900574cbfccb999406958d9e3b6e402b1db370db7afeae6506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04013",
    "kind": "arxiv",
    "version": 4
  }
}