Pith Number

pith:57QLXW2M

pith:2020:57QLXW2MLPDGOOFC4X6ZSTHFKK

not attested not anchored not stored refs pending

Scale-free Collaborative Protocol Design for Synchronization of Homogeneous and Heterogeneous Discrete-time Multi-agent Systems

Ali Saberi, Anton A. Stoorvogel, Donya Nojavanzadeh, Zhenwei Liu

arxiv:2004.09498 v1 · 2020-04-19 · eess.SY · cs.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{57QLXW2MLPDGOOFC4X6ZSTHFKK}

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	2026-07-05T00:56:51.243370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe0bbdb4c5bc66738a2e5fd994ce552aec4ec78b7426f10a7cf5778a1821353

Aliases

arxiv: 2004.09498 · arxiv_version: 2004.09498v1 · doi: 10.48550/arxiv.2004.09498 · pith_short_12: 57QLXW2MLPDG · pith_short_16: 57QLXW2MLPDGOOFC · pith_short_8: 57QLXW2M

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/57QLXW2MLPDGOOFC4X6ZSTHFKK \
  | 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: efe0bbdb4c5bc66738a2e5fd994ce552aec4ec78b7426f10a7cf5778a1821353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "980b313e030e6cb39b1ef3c8d3a94b5004ab47f2fb8af288948ddd867a4100eb",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2020-04-19T04:02:25Z",
    "title_canon_sha256": "f49ce5f470684be711783cfa8301d9d933c25983bd88ef1ce935cecf59a16949"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09498",
    "kind": "arxiv",
    "version": 1
  }
}