Pith Number

pith:AR2S7CIW

pith:2025:AR2S7CIWDDNSQAFUNIRWZUM72L

not attested not anchored not stored refs pending

Decentralized Optimization on Compact Submanifolds by Quantized Riemannian Gradient Tracking

Guang Dai, Ivor W. Tsang, Jun Chen, Lina Liu, Tianyi Zhu, Yong Liu, Yunliang Jiang

arxiv:2506.07351 v1 · 2025-06-09 · math.OC · cs.LG · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AR2S7CIWDDNSQAFUNIRWZUM72L}

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	2026-07-05T11:18:25.580681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04752f891618db2800b46a236cd19fd2e12c7c54b13ce169cdaf4d673c737516

Aliases

arxiv: 2506.07351 · arxiv_version: 2506.07351v1 · doi: 10.48550/arxiv.2506.07351 · pith_short_12: AR2S7CIWDDNS · pith_short_16: AR2S7CIWDDNSQAFU · pith_short_8: AR2S7CIW

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/AR2S7CIWDDNSQAFUNIRWZUM72L \
  | 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: 04752f891618db2800b46a236cd19fd2e12c7c54b13ce169cdaf4d673c737516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "663b27dfc2235f3e7da79156f590c7ababcf3d0b02a3f517f5926e788f6ccbe1",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-09T01:57:25Z",
    "title_canon_sha256": "b8f4f40db06f3727028b66ba39323502fed6f9ce8774229b175fcc95d5e73419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07351",
    "kind": "arxiv",
    "version": 1
  }
}