Pith Number

pith:GG5ZB4NM

pith:2012:GG5ZB4NMERSINKVGIS3JMF6GMO

not attested not anchored not stored refs pending

On Sontag's Formula for the Input-to-State Practical Stabilization of Retarded Control-Affine Systems

Pierdomenico Pepe

arxiv:1206.4240 v1 · 2012-06-19 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GG5ZB4NMERSINKVGIS3JMF6GMO}

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	2026-05-18T03:53:07.676238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31bb90f1ac246486aaa644b69617c663af274de1170ae8e53a408288e6b0962a

Aliases

arxiv: 1206.4240 · arxiv_version: 1206.4240v1 · doi: 10.48550/arxiv.1206.4240 · pith_short_12: GG5ZB4NMERSI · pith_short_16: GG5ZB4NMERSINKVG · pith_short_8: GG5ZB4NM

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/GG5ZB4NMERSINKVGIS3JMF6GMO \
  | 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: 31bb90f1ac246486aaa644b69617c663af274de1170ae8e53a408288e6b0962a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dbd2402099b3777057e56352a146eb586f088510ed08a3fc98899e4658fd9ff",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-06-19T15:36:39Z",
    "title_canon_sha256": "52eb68bb609895cc2d5ab336f472f716d6489e6e49523df9288546b241728f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4240",
    "kind": "arxiv",
    "version": 1
  }
}