Pith Number

pith:NIZ6NTOB

pith:2015:NIZ6NTOB7GPXRNFOKPWXPRJVDQ

not attested not anchored not stored refs pending

Privacy Preservation in Distributed Subgradient Optimization Algorithms

Lean Yu, Shouyang Wang, Youcheng Lou

arxiv:1512.08822 v1 · 2015-12-30 · 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{NIZ6NTOB7GPXRNFOKPWXPRJVDQ}

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	2026-05-18T01:23:34.753282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a33e6cdc1f99f78b4ae53ed77c5351c144bfa1351422be8f708de208267d7c1

Aliases

arxiv: 1512.08822 · arxiv_version: 1512.08822v1 · doi: 10.48550/arxiv.1512.08822 · pith_short_12: NIZ6NTOB7GPX · pith_short_16: NIZ6NTOB7GPXRNFO · pith_short_8: NIZ6NTOB

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/NIZ6NTOB7GPXRNFOKPWXPRJVDQ \
  | 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: 6a33e6cdc1f99f78b4ae53ed77c5351c144bfa1351422be8f708de208267d7c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f945a33366d5518a3cba53d09ee29e0fb84cc88e37bfb255876856b4ad6c7a2",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2015-12-30T01:13:06Z",
    "title_canon_sha256": "1f0e1c45c74f265dfca5e7eaefb32b11d37e2efca6d58c03818667090c8e8be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08822",
    "kind": "arxiv",
    "version": 1
  }
}