Pith Number

pith:KOGI6QXE

pith:2026:KOGI6QXENOCIK66STWZEYKU6EJ

not attested not anchored not stored refs pending

The Dual Averaging Power-Prox Method with Application to Heavy-Tail Incremental Gradient

Jeremy Rack, Sebastian U. Stich, Yuan Gao

arxiv:2606.10110 v1 · 2026-06-08 · 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{KOGI6QXENOCIK66STWZEYKU6EJ}

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	2026-06-10T01:08:54.747392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

538c8f42e46b84857bd29db24c2a9e2253e4fdcaed61b6468e47d89be9082736

Aliases

arxiv: 2606.10110 · arxiv_version: 2606.10110v1 · doi: 10.48550/arxiv.2606.10110 · pith_short_12: KOGI6QXENOCI · pith_short_16: KOGI6QXENOCIK66S · pith_short_8: KOGI6QXE

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/KOGI6QXENOCIK66STWZEYKU6EJ \
  | 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: 538c8f42e46b84857bd29db24c2a9e2253e4fdcaed61b6468e47d89be9082736

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bac540ef18027ca642761a497e3af0134ce20a4d2ed5d5d1ee5125ded014bfd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-08T19:39:15Z",
    "title_canon_sha256": "2c5f21ad5ebb51e2cee8ec0dd84f56ab956c5b50167e6dcd9c7ba3b7504e3b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10110",
    "kind": "arxiv",
    "version": 1
  }
}