Pith Number

pith:NZOYMRHD

pith:2021:NZOYMRHDYUUMFAG3HXEMKQEMBJ

not attested not anchored not stored refs pending

Privacy-Preserving Decentralized Multi-Agent Cooperative Optimization -- Paradigm Design and Privacy Analysis

Mingxi Liu, Xiang Huo

arxiv:2103.02110 v1 · 2021-03-03 · 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{NZOYMRHDYUUMFAG3HXEMKQEMBJ}

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	2026-07-05T02:20:00.428929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e5d8644e3c528c280db3dc8c5408c0a478fe84dd6598aa80c1362c4f14cc545

Aliases

arxiv: 2103.02110 · arxiv_version: 2103.02110v1 · doi: 10.48550/arxiv.2103.02110 · pith_short_12: NZOYMRHDYUUM · pith_short_16: NZOYMRHDYUUMFAG3 · pith_short_8: NZOYMRHD

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/NZOYMRHDYUUMFAG3HXEMKQEMBJ \
  | 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: 6e5d8644e3c528c280db3dc8c5408c0a478fe84dd6598aa80c1362c4f14cc545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a985e3a8c762263ba0df9a22e4c2867bb5a9d4aac0347a7cd2c91008202de12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-03-03T01:07:38Z",
    "title_canon_sha256": "f635bf6380e67c6f55da056b4fc34bda7627ae31aa59d44cd93cbf342b26f00d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.02110",
    "kind": "arxiv",
    "version": 1
  }
}