Pith Number

pith:3BPPMM7O

pith:2016:3BPPMM7OJPRTOFHUP4PSPHS4ZT

not attested not anchored not stored refs pending

Consensus Control for Linear Systems with Optimal Energy Cost

Han Zhang, Xiaoming Hu

arxiv:1612.00316 v2 · 2016-12-01 · 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{3BPPMM7OJPRTOFHUP4PSPHS4ZT}

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	2026-05-18T00:32:02.964180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d85ef633ee4be33714f47f1f279e5ccccdc529ca11779855d829bbe813a7f05b

Aliases

arxiv: 1612.00316 · arxiv_version: 1612.00316v2 · doi: 10.48550/arxiv.1612.00316 · pith_short_12: 3BPPMM7OJPRT · pith_short_16: 3BPPMM7OJPRTOFHU · pith_short_8: 3BPPMM7O

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/3BPPMM7OJPRTOFHUP4PSPHS4ZT \
  | 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: d85ef633ee4be33714f47f1f279e5ccccdc529ca11779855d829bbe813a7f05b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "297da561d923d658855340a9cab2732c21deac121823a25006438c01f799dfbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-01T15:39:16Z",
    "title_canon_sha256": "2610d5a3d137a9deba4f36a4a076a15340031ab4b4d8fe1b1cc4c907792b0e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00316",
    "kind": "arxiv",
    "version": 2
  }
}