Pith Number

pith:7DTKFHEF

pith:2018:7DTKFHEFK4IRM6VWYAQTOV4BJK

not attested not anchored not stored refs pending

LP Formulations of Discrete Time Long-Run Average Optimal Control Problems: The Non-Ergodic Case

Ilya Shvartsman, Vivek S. Borkar, Vladimir Gaitsgory

arxiv:1812.04790 v2 · 2018-12-12 · 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{7DTKFHEFK4IRM6VWYAQTOV4BJK}

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	2026-05-17T23:44:58.176457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8e6a29c855711167ab6c0213757814a8405f5c0b0531f439fb8fe346fb24695

Aliases

arxiv: 1812.04790 · arxiv_version: 1812.04790v2 · doi: 10.48550/arxiv.1812.04790 · pith_short_12: 7DTKFHEFK4IR · pith_short_16: 7DTKFHEFK4IRM6VW · pith_short_8: 7DTKFHEF

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/7DTKFHEFK4IRM6VWYAQTOV4BJK \
  | 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: f8e6a29c855711167ab6c0213757814a8405f5c0b0531f439fb8fe346fb24695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce27e33e6fdc0e132043bd7fafeb85930ae9554fcdb169a1392d9414ea20d82a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-12-12T03:06:16Z",
    "title_canon_sha256": "3f4713faa003a8b26739d63d4d94d8fcaa487e42bcb90decf19c8472587731cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04790",
    "kind": "arxiv",
    "version": 2
  }
}