Pith Number

pith:DU5TQ4L4

pith:2018:DU5TQ4L4FX6HU62VW7PF7IWBWU

not attested not anchored not stored refs pending

Compact Formulation of the First Evolution Equation for Optimal Control Computation

Fei Liao, Sheng Zhang, Wei-Qi Qian

arxiv:1804.02980 v2 · 2018-04-09 · eess.SY · cs.SY · 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{DU5TQ4L4FX6HU62VW7PF7IWBWU}

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	2026-06-04T19:11:46.523645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d3b38717c2dfc7a7b55b7de5fa2c1b51b3ee84a8d40a442473e7f46aac75a41

Aliases

arxiv: 1804.02980 · arxiv_version: 1804.02980v2 · doi: 10.48550/arxiv.1804.02980 · pith_short_12: DU5TQ4L4FX6H · pith_short_16: DU5TQ4L4FX6HU62V · pith_short_8: DU5TQ4L4

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/DU5TQ4L4FX6HU62VW7PF7IWBWU \
  | 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: 1d3b38717c2dfc7a7b55b7de5fa2c1b51b3ee84a8d40a442473e7f46aac75a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2352d57eb21802bb104994a02e10a5a349a9716e71d5bbc7d3d9837c861bdff0",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2018-04-09T13:49:37Z",
    "title_canon_sha256": "e1dc9f59a9ad39c079abaab4ab2d5854f97afbebaa7aa975ac97b60970fe55e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02980",
    "kind": "arxiv",
    "version": 2
  }
}