Pith Number

pith:L5FTD6W4

pith:2011:L5FTD6W4FN7WKQA6CT5O2I2FX5

not attested not anchored not stored refs pending

Model-free control of microgrids

Lo\"ic Michel, Wim Michiels, Xavier Boucher

arxiv:1104.0215 v2 · 2011-04-01 · 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{L5FTD6W4FN7WKQA6CT5O2I2FX5}

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	2026-05-18T02:22:11.385978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f4b31fadc2b7f65401e14faed2345bf5b62fd9b497ae8300dbedcc96385214f

Aliases

arxiv: 1104.0215 · arxiv_version: 1104.0215v2 · doi: 10.48550/arxiv.1104.0215 · pith_short_12: L5FTD6W4FN7W · pith_short_16: L5FTD6W4FN7WKQA6 · pith_short_8: L5FTD6W4

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/L5FTD6W4FN7WKQA6CT5O2I2FX5 \
  | 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: 5f4b31fadc2b7f65401e14faed2345bf5b62fd9b497ae8300dbedcc96385214f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad78b9526ac654d1f008ab9fd3da4b95bfa73fdd3dc090b9febf1c2de3b982c",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2011-04-01T16:29:02Z",
    "title_canon_sha256": "3247db08d690fefd9bd23ccf7a724792791a7af401d5e487c1dd99e441a61451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0215",
    "kind": "arxiv",
    "version": 2
  }
}