Pith Number

pith:IHCJSM2R

pith:2020:IHCJSM2R6XIIUHVLPOV3NZTZBC

not attested not anchored not stored refs pending

Dual Averaging is Surprisingly Effective for Deep Learning Optimization

Aaron Defazio, Samy Jelassi

arxiv:2010.10502 v1 · 2020-10-20 · cs.LG · math.OC · stat.ML

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

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\usepackage{pith}
\pithnumber{IHCJSM2R6XIIUHVLPOV3NZTZBC}

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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

Optimistic Dual Averaging Unifies Modern Optimizers

Receipt and verification

First computed	2026-07-05T01:44:30.887156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41c4993351f5d08a1eab7babb6e67908931cae50de9f25d6677b55ebc8c8c1fa

Aliases

arxiv: 2010.10502 · arxiv_version: 2010.10502v1 · doi: 10.48550/arxiv.2010.10502 · pith_short_12: IHCJSM2R6XII · pith_short_16: IHCJSM2R6XIIUHVL · pith_short_8: IHCJSM2R

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/IHCJSM2R6XIIUHVLPOV3NZTZBC \
  | 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: 41c4993351f5d08a1eab7babb6e67908931cae50de9f25d6677b55ebc8c8c1fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742e212252f058b8764306e2d817f47f6d497f9fb865b732b7829a59c0c3fbcc",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-10-20T17:55:11Z",
    "title_canon_sha256": "a66e72e951fdf1ca8a2b3cfa246aaa47235354c2139bf6b7aec66018c7e28423"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.10502",
    "kind": "arxiv",
    "version": 1
  }
}