Pith Number

pith:6HBHD24C

pith:2015:6HBHD24C2AXBTOV5KYKHTBWXN6

not attested not anchored not stored refs pending

Critical Connectivity and Fastest Convergence Rates of Distributed Consensus with Switching Topologies and Additive Noises

Chen Chen, Ge Chen, George Yin, Le Yi Wang

arxiv:1510.07021 v2 · 2015-10-23 · 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{6HBHD24C2AXBTOV5KYKHTBWXN6}

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	2026-05-18T00:45:50.267792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1c271eb82d02e19babd56147986d76fbfe95bc5cd12238a49cefd29e077cbf7

Aliases

arxiv: 1510.07021 · arxiv_version: 1510.07021v2 · doi: 10.48550/arxiv.1510.07021 · pith_short_12: 6HBHD24C2AXB · pith_short_16: 6HBHD24C2AXBTOV5 · pith_short_8: 6HBHD24C

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/6HBHD24C2AXBTOV5KYKHTBWXN6 \
  | 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: f1c271eb82d02e19babd56147986d76fbfe95bc5cd12238a49cefd29e077cbf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7fe4816c1a8eae05ed0328e61834380569c9d588cd480840641c7e85945e20b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-23T19:36:00Z",
    "title_canon_sha256": "97c485384bc71e7bc548d2e1de16dd19dc5096e34e568e822d852e72d5230510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07021",
    "kind": "arxiv",
    "version": 2
  }
}