Pith Number

pith:WEDBC3TS

pith:2014:WEDBC3TSXNJI7LXGNFZHWNOVXA

not attested not anchored not stored refs pending

On average control generating families for singularly perturbed optimal control problems with long run average optimality criteria

Ludmila Manic, Sergey Rossomakhine, Vladimir Gaitsgory

arxiv:1408.3907 v2 · 2014-08-18 · 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{WEDBC3TSXNJI7LXGNFZHWNOVXA}

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	2026-05-18T02:44:56.023584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b106116e72bb528faee669727b35d5b83d8dcddf567dad9ac38ddc5952f3ea1f

Aliases

arxiv: 1408.3907 · arxiv_version: 1408.3907v2 · doi: 10.48550/arxiv.1408.3907 · pith_short_12: WEDBC3TSXNJI · pith_short_16: WEDBC3TSXNJI7LXG · pith_short_8: WEDBC3TS

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/WEDBC3TSXNJI7LXGNFZHWNOVXA \
  | 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: b106116e72bb528faee669727b35d5b83d8dcddf567dad9ac38ddc5952f3ea1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736c46b7b0d6ee053fd764222d0b22d0d5040a9064152e66a0915ae96d74e6f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-08-18T06:53:03Z",
    "title_canon_sha256": "ebc0fa15b5a07a0341ed3782e7c4628a8ef9159df64e31954b5bedce0545069b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3907",
    "kind": "arxiv",
    "version": 2
  }
}