Pith Number

pith:HEMJ7E6M

pith:2013:HEMJ7E6MM7WDSYYJ4YWJ24KH2S

not attested not anchored not stored refs pending

Large Gain Stability of Extremum Seeking and Higher-Order Averaging Theory

Gabriel Bousquet, Jean-Jacques Slotine

arxiv:1303.4474 v1 · 2013-03-19 · 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{HEMJ7E6MM7WDSYYJ4YWJ24KH2S}

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	2026-05-18T03:30:27.083360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39189f93cc67ec396309e62c9d7147d4b71c2c7ef28bba4eaa701aa9fd69cdad

Aliases

arxiv: 1303.4474 · arxiv_version: 1303.4474v1 · doi: 10.48550/arxiv.1303.4474 · pith_short_12: HEMJ7E6MM7WD · pith_short_16: HEMJ7E6MM7WDSYYJ · pith_short_8: HEMJ7E6M

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/HEMJ7E6MM7WDSYYJ4YWJ24KH2S \
  | 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: 39189f93cc67ec396309e62c9d7147d4b71c2c7ef28bba4eaa701aa9fd69cdad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a08256cf985fa16e42d280f8a7814a24016db3a43865157e75c645b64b41357c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-03-19T03:00:03Z",
    "title_canon_sha256": "1c3854484214f64735b0cc91717a08aade59ccf5283b843acc012e66a38931e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4474",
    "kind": "arxiv",
    "version": 1
  }
}