Pith Number

pith:WD2QCFMW

pith:2026:WD2QCFMWB2TL5WEKUI6E3FCE4S

not attested not anchored not stored refs pending

Accelerated and Stable Convergence with Anchored Optimistic Method

Eduard Gorbunov, Gauthier Gidel, Jianxin You, Motahareh Sohrabi, Simon Lacoste-Julien

arxiv:2606.21528 v1 · 2026-06-19 · math.OC · cs.GT · 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{WD2QCFMWB2TL5WEKUI6E3FCE4S}

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	2026-06-23T01:13:13.557903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f50115960ea6bed88aa23c4d9444e48d6ec7b4b2f2d0c433adb641db6ffce2

Aliases

arxiv: 2606.21528 · arxiv_version: 2606.21528v1 · doi: 10.48550/arxiv.2606.21528 · pith_short_12: WD2QCFMWB2TL · pith_short_16: WD2QCFMWB2TL5WEK · pith_short_8: WD2QCFMW

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/WD2QCFMWB2TL5WEKUI6E3FCE4S \
  | 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: b0f50115960ea6bed88aa23c4d9444e48d6ec7b4b2f2d0c433adb641db6ffce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0992803c1bb64f929e23f52a2ea57ba38aac85ef22c60acd7bf912e666c8c37",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-19T15:26:10Z",
    "title_canon_sha256": "6e1c67368c612a3889ff12d60f9ad0092e0c00c2fa950fca039882c9a8cc463f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21528",
    "kind": "arxiv",
    "version": 1
  }
}