Pith Number

pith:P64LSTQD

pith:2026:P64LSTQD5GRW6FSBZBI6SNLXMI

not attested not anchored not stored refs pending

Why SGD is not Brownian Motion: A New Perspective on Stochastic Dynamics

Aleksandr Beznosikov, Aleksandr Kovalenko, Aleksandr Shestakov, Andrew Semenov, Andrey Leonidov, Andrey Veprikov, Anna Radovskaya, Egor Lopatin, Igor Ignashin, Stanislav Potapov

arxiv:2605.22644 v1 · 2026-05-21 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P64LSTQD5GRW6FSBZBI6SNLXMI}

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	2026-05-22T02:04:47.754035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb8b94e03e9a36f1641c851e93577622c50e8e817600ac9f0b0511b955db2a1

Aliases

arxiv: 2605.22644 · arxiv_version: 2605.22644v1 · doi: 10.48550/arxiv.2605.22644 · pith_short_12: P64LSTQD5GRW · pith_short_16: P64LSTQD5GRW6FSB · pith_short_8: P64LSTQD

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/P64LSTQD5GRW6FSBZBI6SNLXMI \
  | 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: 7fb8b94e03e9a36f1641c851e93577622c50e8e817600ac9f0b0511b955db2a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86358fed8f0b2c5b763c46a67567acd2db7861d37ea499e960bd86a0f3814076",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-21T15:50:40Z",
    "title_canon_sha256": "5aa39333e0097b93ef5577f5d61f8beb309f0718bb37441e8ea24c6114e3911a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22644",
    "kind": "arxiv",
    "version": 1
  }
}