Pith Number

pith:7OYV2GZC

pith:2013:7OYV2GZCMM5I3ZW7MZJMHMJP3Z

not attested not anchored not stored refs pending

Designing Fully Distributed Consensus Protocols for Linear Multi-agent Systems with Directed Graphs

Guanghui Wen, Wei Ren, Zhisheng Duan, Zhongkui Li

arxiv:1312.7377 v2 · 2013-12-28 · math.OC · 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{7OYV2GZCMM5I3ZW7MZJMHMJP3Z}

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	2026-05-18T00:59:03.486205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb15d1b22633a8de6df6652c3b12fde6cfc1940b0724e50d87871368bc9483e

Aliases

arxiv: 1312.7377 · arxiv_version: 1312.7377v2 · doi: 10.48550/arxiv.1312.7377 · pith_short_12: 7OYV2GZCMM5I · pith_short_16: 7OYV2GZCMM5I3ZW7 · pith_short_8: 7OYV2GZC

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/7OYV2GZCMM5I3ZW7MZJMHMJP3Z \
  | 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: fbb15d1b22633a8de6df6652c3b12fde6cfc1940b0724e50d87871368bc9483e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6fe5fafe5def76038e69586d39251ecbf06e02f9ebea99dd4caee24f4215a99",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-28T01:15:23Z",
    "title_canon_sha256": "0edb272a92d4c9e9fb16b568d0d65d48d70f8a2abc0e4ad47252db6b6a622b7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7377",
    "kind": "arxiv",
    "version": 2
  }
}