Pith Number

pith:SOVKQ5EQ

pith:2010:SOVKQ5EQSGE7LHOIGWDZNZRVQU

not attested not anchored not stored refs pending

An infinite-horizon optimal control problem and the stability of the adjoint variable (in Russian)

Dmitry Khlopin

arxiv:1012.3592 v1 · 2010-12-16 · 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{SOVKQ5EQSGE7LHOIGWDZNZRVQU}

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	2026-05-18T04:33:06.165778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93aaa874909189f59dc8358796e635852968715bf1399fe79b4cd09237a4247c

Aliases

arxiv: 1012.3592 · arxiv_version: 1012.3592v1 · doi: 10.48550/arxiv.1012.3592 · pith_short_12: SOVKQ5EQSGE7 · pith_short_16: SOVKQ5EQSGE7LHOI · pith_short_8: SOVKQ5EQ

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/SOVKQ5EQSGE7LHOIGWDZNZRVQU \
  | 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: 93aaa874909189f59dc8358796e635852968715bf1399fe79b4cd09237a4247c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f35f7ccb17e8050e93dae7662e11107a393302f1072f51ee2291cb3651ff9ba0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-12-16T13:22:31Z",
    "title_canon_sha256": "e908d8168783f88c4512fbcef921531b632e90421083a59c012c7381ac5d7571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3592",
    "kind": "arxiv",
    "version": 1
  }
}