Pith Number

pith:BQ2Y2CWP

pith:2026:BQ2Y2CWPNNBLK6K44NJAR42MJ6

not attested not anchored not stored refs pending

Sub-optimal control by primal-dual gradient dynamics

Arjan van der Schaft

arxiv:2606.18818 v1 · 2026-06-17 · 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{BQ2Y2CWPNNBLK6K44NJAR42MJ6}

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	2026-06-19T16:11:48.326669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c358d0acf6b42b5795ce35208f34c4f8956c961f195c5faf0c3f88c79af0859

Aliases

arxiv: 2606.18818 · arxiv_version: 2606.18818v1 · doi: 10.48550/arxiv.2606.18818 · pith_short_12: BQ2Y2CWPNNBL · pith_short_16: BQ2Y2CWPNNBLK6K4 · pith_short_8: BQ2Y2CWP

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/BQ2Y2CWPNNBLK6K44NJAR42MJ6 \
  | 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: 0c358d0acf6b42b5795ce35208f34c4f8956c961f195c5faf0c3f88c79af0859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38efa9f9a6adc1c3ede77e63217bfba8d8ce7f151642a4d4f4e0bc226cea867d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-17T08:36:11Z",
    "title_canon_sha256": "19aa162b63c71703c85e7e0b16ff1ec3048521c734cb6ae82852d82ea4765e12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18818",
    "kind": "arxiv",
    "version": 1
  }
}