Pith Number

pith:I6SAD2X7

pith:2024:I6SAD2X75E6YMKHZBSPXGHPLZT

not attested not anchored not stored refs pending

Input-Output Stability of Gradient Descent: A Discrete-Time Passivity-Based Approach

James Richard Forbes, Sepehr Moalemi

arxiv:2411.16074 v1 · 2024-11-25 · math.OC · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6SAD2X75E6YMKHZBSPXGHPLZT}

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	2026-07-05T09:40:03.428186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47a401eaffe93d8628f90c9f731debcced7e7d41a34a1906dc4ed88364ff0768

Aliases

arxiv: 2411.16074 · arxiv_version: 2411.16074v1 · doi: 10.48550/arxiv.2411.16074 · pith_short_12: I6SAD2X75E6Y · pith_short_16: I6SAD2X75E6YMKHZ · pith_short_8: I6SAD2X7

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/I6SAD2X75E6YMKHZBSPXGHPLZT \
  | 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: 47a401eaffe93d8628f90c9f731debcced7e7d41a34a1906dc4ed88364ff0768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb7f264f6f361b79455e00c0b9952512a1634c12301e933cff1253dbddb43fb",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-11-25T03:58:34Z",
    "title_canon_sha256": "1e92d1b5c27aedb1c4a38132831fdcecebb9bca1340e3dcee2d27c726535f519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16074",
    "kind": "arxiv",
    "version": 1
  }
}