Pith Number

pith:5XDP7KCS

pith:2010:5XDP7KCSZ3U47ZZNKXG2L7TJFE

not attested not anchored not stored refs pending

Delta-Nabla Optimal Control Problems

Agnieszka B. Malinowska, Delfim F. M. Torres, Ewa Girejko

arxiv:1007.3399 v1 · 2010-07-20 · 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{5XDP7KCSZ3U47ZZNKXG2L7TJFE}

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	2026-05-18T04:10:58.880499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edc6ffa852cee9cfe72d55cda5fe692922cefe98fb7e3668eb80cdb751f37a0a

Aliases

arxiv: 1007.3399 · arxiv_version: 1007.3399v1 · doi: 10.48550/arxiv.1007.3399 · pith_short_12: 5XDP7KCSZ3U4 · pith_short_16: 5XDP7KCSZ3U47ZZN · pith_short_8: 5XDP7KCS

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/5XDP7KCSZ3U47ZZNKXG2L7TJFE \
  | 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: edc6ffa852cee9cfe72d55cda5fe692922cefe98fb7e3668eb80cdb751f37a0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6624d059902a73868b493ebd9c584caac1d5a3a4b7cdcccf7fbce956dec6fb9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-07-20T11:44:26Z",
    "title_canon_sha256": "788915a73b75a40a2fa19d1b583b228ada0fc5f47735d2a5c243d6f50ac4d7d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3399",
    "kind": "arxiv",
    "version": 1
  }
}