Pith Number

pith:I4SGDWTQ

pith:2016:I4SGDWTQBEW5AUGB3WBYM2OVFP

not attested not anchored not stored refs pending

On the convergence of gradient-like flows with noisy gradient input

Mathias Staudigl, Panayotis Mertikopoulos

arxiv:1611.06730 v2 · 2016-11-21 · math.OC · cs.LG · 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{I4SGDWTQBEW5AUGB3WBYM2OVFP}

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	2026-05-18T00:34:42.164279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472461da70092dd050c1dd838669d52bf0a43efdc694e265611eeda7a72f7602

Aliases

arxiv: 1611.06730 · arxiv_version: 1611.06730v2 · doi: 10.48550/arxiv.1611.06730 · pith_short_12: I4SGDWTQBEW5 · pith_short_16: I4SGDWTQBEW5AUGB · pith_short_8: I4SGDWTQ

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/I4SGDWTQBEW5AUGB3WBYM2OVFP \
  | 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: 472461da70092dd050c1dd838669d52bf0a43efdc694e265611eeda7a72f7602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d79444ea2f0a8411f8e434ffbaf41d5bb69dfc1b1807612199d4e2e68a489c5",
    "cross_cats_sorted": [
      "cs.LG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-11-21T11:29:40Z",
    "title_canon_sha256": "097fa3de1348116dd6ca16b1fabd872b0f911be57623fd59cb93f2532d5a2d55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06730",
    "kind": "arxiv",
    "version": 2
  }
}