Pith Number

pith:ZQYLB5O6

pith:2015:ZQYLB5O6MFFJCBKDENVLSDCJPE

not attested not anchored not stored refs pending

Bounds for deterministic and stochastic dynamical systems using sum-of-squares optimization

David Goluskin, Deqing Huang, Giovanni Fantuzzi, Sergei I. Chernyshenko

arxiv:1512.05599 v2 · 2015-12-17 · math.DS · 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{ZQYLB5O6MFFJCBKDENVLSDCJPE}

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	2026-05-18T00:51:07.439994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc30b0f5de614a910543236ab90c49793384098b31adb7b7a238ac4b856e724b

Aliases

arxiv: 1512.05599 · arxiv_version: 1512.05599v2 · doi: 10.48550/arxiv.1512.05599 · pith_short_12: ZQYLB5O6MFFJ · pith_short_16: ZQYLB5O6MFFJCBKD · pith_short_8: ZQYLB5O6

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/ZQYLB5O6MFFJCBKDENVLSDCJPE \
  | 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: cc30b0f5de614a910543236ab90c49793384098b31adb7b7a238ac4b856e724b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4281ef4e0dcb8ca356b0ace240c9d63da2ef4bdd67feb42f27a8c4759c21a21",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-17T14:32:54Z",
    "title_canon_sha256": "692405fe683dd8ad37bf5ee0a5619cf28c3c065174f2871ac2337c6e3e36300d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05599",
    "kind": "arxiv",
    "version": 2
  }
}