Pith Number

pith:7ELEGOYO

pith:2018:7ELEGOYOIINF7OAOA2BRSXXHXG

not attested not anchored not stored refs pending

The Third Evolution Equation for Optimal Control Computation

Fei Liao, Kai-Feng He, Sheng Zhang

arxiv:1802.04663 v2 · 2018-02-12 · 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{7ELEGOYOIINF7OAOA2BRSXXHXG}

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	2026-06-04T19:11:30.831611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f916433b0e421a5fb80e0683195ee7b9bb76567625e3172d021101fd768faa67

Aliases

arxiv: 1802.04663 · arxiv_version: 1802.04663v2 · doi: 10.48550/arxiv.1802.04663 · pith_short_12: 7ELEGOYOIINF · pith_short_16: 7ELEGOYOIINF7OAO · pith_short_8: 7ELEGOYO

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/7ELEGOYOIINF7OAOA2BRSXXHXG \
  | 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: f916433b0e421a5fb80e0683195ee7b9bb76567625e3172d021101fd768faa67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d7f2c5b82a9a49568586bb0618dfbddc911def86fc3cf27093b8d8e84fd81e",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2018-02-12T02:05:18Z",
    "title_canon_sha256": "6a67cb8f94eca0ac1472a7a9369f60d8117d7d966c5ce1f6b043f53806ab22ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04663",
    "kind": "arxiv",
    "version": 2
  }
}