Pith Number

pith:IUBP7UE2

pith:2017:IUBP7UE26HT4YC3K3PVMN3CL5F

not attested not anchored not stored refs pending

Mixed Deterministic and Random Optimal Control of Linear Stochastic Systems with Quadratic Costs

Shanjian Tang (School of Mathematical Sciences), Ying Hu (IRMAR)

arxiv:1708.06547 v1 · 2017-08-22 · 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{IUBP7UE26HT4YC3K3PVMN3CL5F}

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	2026-05-18T00:37:33.195345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4502ffd09af1e7cc0b6adbeac6ec4be97af7f361953453443488088ce0567474

Aliases

arxiv: 1708.06547 · arxiv_version: 1708.06547v1 · doi: 10.48550/arxiv.1708.06547 · pith_short_12: IUBP7UE26HT4 · pith_short_16: IUBP7UE26HT4YC3K · pith_short_8: IUBP7UE2

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/IUBP7UE26HT4YC3K3PVMN3CL5F \
  | 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: 4502ffd09af1e7cc0b6adbeac6ec4be97af7f361953453443488088ce0567474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5643d167c47b6a9f82ffb9e260ddd11f495ac183af4bf1ecc70972cfa671732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-08-22T09:29:27Z",
    "title_canon_sha256": "a15591f7b99761c4e9c84861e4bb58c4fde0768dc0c997fc996175be2d1d1c69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06547",
    "kind": "arxiv",
    "version": 1
  }
}