Pith Number

pith:O7ECB2UT

pith:2012:O7ECB2UTWLJFF734QOSQDHSALZ

not attested not anchored not stored refs pending

Remarks on random dynamical systems with inputs and outputs and a small-gain theorem for monotone RDS

Eduardo D. Sontag, Michael Marcondes de Freitas

arxiv:1207.1690 v2 · 2012-07-06 · 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{O7ECB2UTWLJFF734QOSQDHSALZ}

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	2026-05-18T03:37:41.223732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c820ea93b2d252ff7c83a5019e405e40d64421073f5fa54fc685d606a8ceec

Aliases

arxiv: 1207.1690 · arxiv_version: 1207.1690v2 · doi: 10.48550/arxiv.1207.1690 · pith_short_12: O7ECB2UTWLJF · pith_short_16: O7ECB2UTWLJFF734 · pith_short_8: O7ECB2UT

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/O7ECB2UTWLJFF734QOSQDHSALZ \
  | 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: 77c820ea93b2d252ff7c83a5019e405e40d64421073f5fa54fc685d606a8ceec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b750f81cd2d65e396ce6e5eb40cb665e7e013c90c84aaacf28e3712a0b5eee3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2012-07-06T17:26:25Z",
    "title_canon_sha256": "b2d8ff24b365aa18495639fde4af13b858c749ea0926b1486b022a05b06115be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1690",
    "kind": "arxiv",
    "version": 2
  }
}