Pith Number

pith:WXJZNZCK

pith:2023:WXJZNZCKHE5IMQZM34GAX57UN3

not attested not anchored not stored refs pending

A new non-convex framework to improve asymptotical knowledge on generic stochastic gradient descent

Audrey Repetti, Emilie Chouzenoux, Jean-Baptiste Fest

arxiv:2307.06987 v1 · 2023-07-13 · 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{WXJZNZCKHE5IMQZM34GAX57UN3}

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	2026-07-05T06:30:48.710436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d396e44a393a86432cdf0c0bf7f46ec6ff857b655db8c1d3202a153b03e95e

Aliases

arxiv: 2307.06987 · arxiv_version: 2307.06987v1 · doi: 10.48550/arxiv.2307.06987 · pith_short_12: WXJZNZCKHE5I · pith_short_16: WXJZNZCKHE5IMQZM · pith_short_8: WXJZNZCK

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/WXJZNZCKHE5IMQZM34GAX57UN3 \
  | 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: b5d396e44a393a86432cdf0c0bf7f46ec6ff857b655db8c1d3202a153b03e95e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ad9164029f7b00e2326d747adc621e373772f209b996df5c870216dfe9ebf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-07-13T17:49:49Z",
    "title_canon_sha256": "cd4a134b7d14913b1c6b50dc12f599290ee6b5e0d076334558f55a510a447177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.06987",
    "kind": "arxiv",
    "version": 1
  }
}