Pith Number

pith:XN6WBVCV

pith:2018:XN6WBVCVMMLXLD7K6JNSAUCBUH

not attested not anchored not stored refs pending

Computation of Optimal Control Problems with Terminal Constraint via Modified Evolution Partial Differential Equation

Fei Liao, Kai-Feng He, Sheng Zhang

arxiv:1801.10486 v1 · 2018-01-29 · cs.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XN6WBVCVMMLXLD7K6JNSAUCBUH}

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	2026-05-18T00:24:40.726691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb7d60d4556317758feaf25b205041a1ffa4e9d134569b3ab25fb5996383b70a

Aliases

arxiv: 1801.10486 · arxiv_version: 1801.10486v1 · doi: 10.48550/arxiv.1801.10486 · pith_short_12: XN6WBVCVMMLX · pith_short_16: XN6WBVCVMMLXLD7K · pith_short_8: XN6WBVCV

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/XN6WBVCVMMLXLD7K6JNSAUCBUH \
  | 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: bb7d60d4556317758feaf25b205041a1ffa4e9d134569b3ab25fb5996383b70a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833051c4601018dbbda7d1533570a4cc29a9053d3f4dae665f034b7d7b1bfca3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2018-01-29T23:00:51Z",
    "title_canon_sha256": "290960a91e0b0237dc779a85efd4352d6c3c450dc246245f703c636ce517acbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10486",
    "kind": "arxiv",
    "version": 1
  }
}