Pith Number

pith:AZNZETN2

pith:2021:AZNZETN2WKLJIH2ZIPEM3OJUH6

not attested not anchored not stored refs pending

A Theoretical Overview of Neural Contraction Metrics for Learning-based Control with Guaranteed Stability

Chuchu Fan, Hiroyasu Tsukamoto, Jean-Jacques Slotine, Soon-Jo Chung

arxiv:2110.00693 v1 · 2021-10-02 · cs.LG · cs.RO · cs.SY · eess.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{AZNZETN2WKLJIH2ZIPEM3OJUH6}

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	2026-07-05T03:19:47.311974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

065b924dbab296941f5943c8cdb9343f9b74335efc649485a3ebc3ac167dfde2

Aliases

arxiv: 2110.00693 · arxiv_version: 2110.00693v1 · doi: 10.48550/arxiv.2110.00693 · pith_short_12: AZNZETN2WKLJ · pith_short_16: AZNZETN2WKLJIH2Z · pith_short_8: AZNZETN2

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/AZNZETN2WKLJIH2ZIPEM3OJUH6 \
  | 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: 065b924dbab296941f5943c8cdb9343f9b74335efc649485a3ebc3ac167dfde2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77412b985c35df9d5fb8e7fd1d14853b9a7d231b54d6137d4235f2ad285c1cad",
    "cross_cats_sorted": [
      "cs.RO",
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-10-02T00:28:49Z",
    "title_canon_sha256": "2452b2e98985c23776013a96f946d807e1b817c05a71154a862e2780c218fca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.00693",
    "kind": "arxiv",
    "version": 1
  }
}