Pith Number

pith:HPNR3DDR

pith:2020:HPNR3DDRTVW7R4WHXE4CRJQGIB

not attested not anchored not stored refs pending

A unified analytical framework for a class of optimal control problems on networked systems

Harry Dankowicz, Mingwu Li

arxiv:2001.04906 v1 · 2020-01-14 · math.OC · cs.SY · eess.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{HPNR3DDRTVW7R4WHXE4CRJQGIB}

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	2026-07-05T02:49:49.806128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bdb1d8c719d6df8f2c7b93828a6064075e847a9c627d779472f92da3d3b34d0

Aliases

arxiv: 2001.04906 · arxiv_version: 2001.04906v1 · doi: 10.48550/arxiv.2001.04906 · pith_short_12: HPNR3DDRTVW7 · pith_short_16: HPNR3DDRTVW7R4WH · pith_short_8: HPNR3DDR

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/HPNR3DDRTVW7R4WHXE4CRJQGIB \
  | 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: 3bdb1d8c719d6df8f2c7b93828a6064075e847a9c627d779472f92da3d3b34d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf22753e642edd8292555428412035d2e71658376f3b2fa56611154ca1a7b58",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-01-14T17:04:07Z",
    "title_canon_sha256": "c0c2ded256b1e06bca13637257b7aaeb57bcd7be9684ae1e8b5f26acc5918905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.04906",
    "kind": "arxiv",
    "version": 1
  }
}