Pith Number

pith:6QA2WKRR

pith:2012:6QA2WKRR7DWZJDQAM37O4GSCSQ

not attested not anchored not stored refs pending

A differential Lyapunov framework for contraction analysis

Fulvio Forni, Rodolphe Sepulchre

arxiv:1208.2943 v4 · 2012-08-14 · cs.SY · math.DG · 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{6QA2WKRR7DWZJDQAM37O4GSCSQ}

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	2026-05-18T03:11:47.109243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f401ab2a31f8ed948e0066feee1a429409d7775aa060dfc0a51e6d068b5558a9

Aliases

arxiv: 1208.2943 · arxiv_version: 1208.2943v4 · doi: 10.48550/arxiv.1208.2943 · pith_short_12: 6QA2WKRR7DWZ · pith_short_16: 6QA2WKRR7DWZJDQA · pith_short_8: 6QA2WKRR

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/6QA2WKRR7DWZJDQAM37O4GSCSQ \
  | 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: f401ab2a31f8ed948e0066feee1a429409d7775aa060dfc0a51e6d068b5558a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c7385116b67960ab9329af7e395a592605a34eb9f70502766fe0e09b6492ad",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2012-08-14T19:01:13Z",
    "title_canon_sha256": "7b3ac5a0d66ccef2f5e7a8e03ea3a5b8440fc18890191fe7c6420bf8015ad400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2943",
    "kind": "arxiv",
    "version": 4
  }
}