Pith Number

pith:WAVQ7LZG

pith:2018:WAVQ7LZG7IGKNG2LMCYK7ZUHSO

not attested not anchored not stored refs pending

Linear Programming Formulation of Long Run Average Optimal Control Problem

Vivek S. Borkar, Vladimir Gaitsgory

arxiv:1805.02311 v1 · 2018-05-07 · 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{WAVQ7LZG7IGKNG2LMCYK7ZUHSO}

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	2026-05-18T00:16:40.214361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b02b0faf26fa0ca69b4b60b0afe68793af6005fcb180b8869a9881347eded9e7

Aliases

arxiv: 1805.02311 · arxiv_version: 1805.02311v1 · doi: 10.48550/arxiv.1805.02311 · pith_short_12: WAVQ7LZG7IGK · pith_short_16: WAVQ7LZG7IGKNG2L · pith_short_8: WAVQ7LZG

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/WAVQ7LZG7IGKNG2LMCYK7ZUHSO \
  | 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: b02b0faf26fa0ca69b4b60b0afe68793af6005fcb180b8869a9881347eded9e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc55cd7d128e66398eb68449a3fd32d9f34c4954a9be40156ed36c4156ec010f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-07T01:43:08Z",
    "title_canon_sha256": "e9a5d0fce036cfffb1de3d424e9bef7c1c50cc4bb3a140a81e5c8d981abb1177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02311",
    "kind": "arxiv",
    "version": 1
  }
}