Pith Number

pith:WJFGQIQX

pith:2026:WJFGQIQXD6JSZVXYCAAS5LFVNH

not attested not anchored not stored refs pending

Concentration and Mean-Square Bounds for Contractive Stochastic Approximation: A Unified Elementary Approach

Siddharth Chandak

arxiv:2607.17595 v1 · 2026-07-20 · cs.LG · 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{WJFGQIQXD6JSZVXYCAAS5LFVNH}

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	2026-07-21T01:21:54.296030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b24a6822171f932cd6f810012eacb569c1c908a76650d0ef7c7c5f8747597a0a

Aliases

arxiv: 2607.17595 · arxiv_version: 2607.17595v1 · doi: 10.48550/arxiv.2607.17595 · pith_short_12: WJFGQIQXD6JS · pith_short_16: WJFGQIQXD6JSZVXY · pith_short_8: WJFGQIQX

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/WJFGQIQXD6JSZVXYCAAS5LFVNH \
  | 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: b24a6822171f932cd6f810012eacb569c1c908a76650d0ef7c7c5f8747597a0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5aa34c3c36146d40bbb8a3efd5f63afcaa90cab2c25832e74e646ab9087950f",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-20T06:27:22Z",
    "title_canon_sha256": "66157d1b906564daab12c7e23615160f27794fc6fb195afdb1cf0b51515cff6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17595",
    "kind": "arxiv",
    "version": 1
  }
}