Pith Number

pith:WIOGUG3N

pith:2016:WIOGUG3ND2S4TCDJDL45OZO2OL

not attested not anchored not stored refs pending

Lyapunov-like functions involving Lie brackets

Franco Rampazzo, Monica Motta

arxiv:1608.02712 v1 · 2016-08-09 · 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{WIOGUG3ND2S4TCDJDL45OZO2OL}

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	2026-05-18T00:16:24.035638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b21c6a1b6d1ea5c988691af9d765da72c9750e644112b6f66759de5fc2a0d2df

Aliases

arxiv: 1608.02712 · arxiv_version: 1608.02712v1 · doi: 10.48550/arxiv.1608.02712 · pith_short_12: WIOGUG3ND2S4 · pith_short_16: WIOGUG3ND2S4TCDJ · pith_short_8: WIOGUG3N

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/WIOGUG3ND2S4TCDJDL45OZO2OL \
  | 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: b21c6a1b6d1ea5c988691af9d765da72c9750e644112b6f66759de5fc2a0d2df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baacd6a559d8eca687659577c3e4b9f9702ba63fd308cdb6dfd5ebbdb9928518",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-08-09T07:57:24Z",
    "title_canon_sha256": "98676cbf0e3d93090737fdd7eb44d3fb257bee284f2e81bbab5083c534fa6ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02712",
    "kind": "arxiv",
    "version": 1
  }
}