Pith Number

pith:E7ZV5RRK

pith:2018:E7ZV5RRKONJLKOILGNGG5IWNUF

not attested not anchored not stored refs pending

On the Ergodic Control of Ensembles

Andre R. Fioravanti, Fabian R. Wirth, Jakub Marecek, Matheus Souza, Robert N. Shorten

arxiv:1807.03256 v3 · 2018-07-09 · math.OC · 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{E7ZV5RRKONJLKOILGNGG5IWNUF}

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	2026-05-17T23:40:08.967025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27f35ec62a7352b5390b334c6ea2cda1492223b83c51c316ecc5f6f2378d089a

Aliases

arxiv: 1807.03256 · arxiv_version: 1807.03256v3 · doi: 10.48550/arxiv.1807.03256 · pith_short_12: E7ZV5RRKONJL · pith_short_16: E7ZV5RRKONJLKOIL · pith_short_8: E7ZV5RRK

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/E7ZV5RRKONJLKOILGNGG5IWNUF \
  | 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: 27f35ec62a7352b5390b334c6ea2cda1492223b83c51c316ecc5f6f2378d089a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad699f84a6eb0174531373cfaf997b0811f109c67512d0f55fb53ec1ea04e548",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-07-09T16:07:05Z",
    "title_canon_sha256": "8fc4d3b8b1f9e265b12735a21a9a8d43dc80c7d7a1db2151463817580732f332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03256",
    "kind": "arxiv",
    "version": 3
  }
}