Pith Number

pith:4TWACHJL

pith:2024:4TWACHJL35DWDN4FKE3B2F7RUN

not attested not anchored not stored refs pending

Computing the Bias of Constant-step Stochastic Approximation with Markovian Noise

Nicolas Gast, Sebastian Allmeier

arxiv:2405.14285 v2 · 2024-05-23 · stat.ML · cs.LG · 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{4TWACHJL35DWDN4FKE3B2F7RUN}

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.

Cited by

1 paper in Pith

Homogenization of Multi-agent Learning Dynamics in Finite-state Markov Games

Receipt and verification

First computed	2026-07-05T09:25:43.496508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ec011d2bdf4761b78551361d17f1a34083fb4b3ca289e7aa81834c904b61fa

Aliases

arxiv: 2405.14285 · arxiv_version: 2405.14285v2 · doi: 10.48550/arxiv.2405.14285 · pith_short_12: 4TWACHJL35DW · pith_short_16: 4TWACHJL35DWDN4F · pith_short_8: 4TWACHJL

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/4TWACHJL35DWDN4FKE3B2F7RUN \
  | 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: e4ec011d2bdf4761b78551361d17f1a34083fb4b3ca289e7aa81834c904b61fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3d83789b7467b53cc2efb62e217a79a020ed1ccfeb52a2134fc397e477a4d2",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-05-23T08:00:45Z",
    "title_canon_sha256": "e79fc20c2e212876f6656888edf6a7c156293190de9c8da8d0396784c6706741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.14285",
    "kind": "arxiv",
    "version": 2
  }
}