Pith Number

pith:KKE5LB3F

pith:2019:KKE5LB3F5KVVMCPYQDPKEWOFGJ

not attested not anchored not stored refs pending

Local infimum in optimal control

Evgeny Avakov, Georgii Magaril-Il'yaev

arxiv:1906.08571 v1 · 2019-06-20 · 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{KKE5LB3F5KVVMCPYQDPKEWOFGJ}

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	2026-05-17T23:42:52.065376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5289d58765eaab5609f880dea259c53243d860b808370e15d525116b7bc33ee2

Aliases

arxiv: 1906.08571 · arxiv_version: 1906.08571v1 · doi: 10.48550/arxiv.1906.08571 · pith_short_12: KKE5LB3F5KVV · pith_short_16: KKE5LB3F5KVVMCPY · pith_short_8: KKE5LB3F

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/KKE5LB3F5KVVMCPYQDPKEWOFGJ \
  | 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: 5289d58765eaab5609f880dea259c53243d860b808370e15d525116b7bc33ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5140499fa73351f8875215f36f1417fc18e730397b96f94ccca9ea6caf7019e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-20T12:12:43Z",
    "title_canon_sha256": "1d69212dcf3f9513cf05c516905c03c5fa428d7bdc61fc3cc4ac0fd561726dd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08571",
    "kind": "arxiv",
    "version": 1
  }
}