Pith Number

pith:UJB5TAW7

pith:2009:UJB5TAW7MMB3LH2M3SHUBYI3SB

not attested not anchored not stored refs pending

Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?

C\'edric Join (INRIA Saclay - Ile de France, CRAN), INRIA Saclay - Ile de France), Michel Fliess (LIX

arxiv:0904.0322 v1 · 2009-04-02 · math.OC · cs.NA · math.CA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJB5TAW7MMB3LH2M3SHUBYI3SB}

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	2026-06-03T23:06:25.444034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a243d982df6303b59f4cdc8f40e11b905fd6320d0412c1d2ba80bd20650dddb1

Aliases

arxiv: 0904.0322 · arxiv_version: 0904.0322v1 · doi: 10.48550/arxiv.0904.0322 · pith_short_12: UJB5TAW7MMB3 · pith_short_16: UJB5TAW7MMB3LH2M · pith_short_8: UJB5TAW7

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/UJB5TAW7MMB3LH2M3SHUBYI3SB \
  | 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: a243d982df6303b59f4cdc8f40e11b905fd6320d0412c1d2ba80bd20650dddb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b21b20aa53cd4530cbd1b2dd6752fe579229ed4381e82eb417e3ae21a7a1abe3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-04-02T06:59:20Z",
    "title_canon_sha256": "075253e646af5e7d70ec9ef5843fd2b050a41f4082bd728f0c63ac03e04378f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0322",
    "kind": "arxiv",
    "version": 1
  }
}