Pith Number

pith:WABL67PV

pith:2024:WABL67PV4ZUVS3RH7QBFQIT3X2

not attested not anchored not stored refs pending

Sufficient Condition on Bipartite Consensus of Weakly Connected Matrix-weighted Networks

Chongzhi Wang, Dewei Li, Haibin Shao, Ying Tan

arxiv:2410.21278 v1 · 2024-10-02 · 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{WABL67PV4ZUVS3RH7QBFQIT3X2}

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	2026-07-05T09:27:25.934782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b002bf7df5e669596e27fc0258227bbea7df82824ebae71c404e8d0613f7cd4d

Aliases

arxiv: 2410.21278 · arxiv_version: 2410.21278v1 · doi: 10.48550/arxiv.2410.21278 · pith_short_12: WABL67PV4ZUV · pith_short_16: WABL67PV4ZUVS3RH · pith_short_8: WABL67PV

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/WABL67PV4ZUVS3RH7QBFQIT3X2 \
  | 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: b002bf7df5e669596e27fc0258227bbea7df82824ebae71c404e8d0613f7cd4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6485da9fa9c47fffbf452de4983fa0a4c164eca9b991b89abeeefaf087da1a7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-10-02T13:43:01Z",
    "title_canon_sha256": "66775db07e4eacd4cc1539b88d7653403380f9ae443bcbf71f9a6f85d9bfcc5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.21278",
    "kind": "arxiv",
    "version": 1
  }
}