Pith Number

pith:TOYCJBEE

pith:2023:TOYCJBEEPVRX7WOFJDZY6VZJUB

not attested not anchored not stored refs pending

Momentum Provably Improves Error Feedback!

Alexander Tyurin, Ilyas Fatkhullin, Peter Richt\'arik

arxiv:2305.15155 v2 · 2023-05-24 · cs.LG · cs.DC · 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{TOYCJBEEPVRX7WOFJDZY6VZJUB}

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	2026-07-05T07:06:27.687944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb02484847d637fd9c548f38f5729a066dd35f68c8a95a716e1fb754cca9b5e

Aliases

arxiv: 2305.15155 · arxiv_version: 2305.15155v2 · doi: 10.48550/arxiv.2305.15155 · pith_short_12: TOYCJBEEPVRX · pith_short_16: TOYCJBEEPVRX7WOF · pith_short_8: TOYCJBEE

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/TOYCJBEEPVRX7WOFJDZY6VZJUB \
  | 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: 9bb02484847d637fd9c548f38f5729a066dd35f68c8a95a716e1fb754cca9b5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d47116113a28b849857554cd369419e3a634f07eef9944ea293c37c702d0c50",
    "cross_cats_sorted": [
      "cs.DC",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-05-24T13:52:02Z",
    "title_canon_sha256": "4a864f97615cc59b1af196ce8fb4c1dc0b0ba3d31b9559554accb91b1a64e347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.15155",
    "kind": "arxiv",
    "version": 2
  }
}