Pith Number

pith:ZRJ5KVGX

pith:2017:ZRJ5KVGXG3VKTQRCDCIPY22UTL

not attested not anchored not stored refs pending

Biharmonic Distance and the Performance of Second-Order Consensus Networks with Stochastic Disturbances

Bingjia Yang, Stacy Patterson, Yuhao Yi, Zhongzhi Zhang

arxiv:1709.02790 v2 · 2017-09-08 · 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{ZRJ5KVGXG3VKTQRCDCIPY22UTL}

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	2026-05-18T00:34:28.806927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc53d554d736eaa9c2221890fc6b549ac459ffe6c1a07471b2bc7aaab702014c

Aliases

arxiv: 1709.02790 · arxiv_version: 1709.02790v2 · doi: 10.48550/arxiv.1709.02790 · pith_short_12: ZRJ5KVGXG3VK · pith_short_16: ZRJ5KVGXG3VKTQRC · pith_short_8: ZRJ5KVGX

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/ZRJ5KVGXG3VKTQRCDCIPY22UTL \
  | 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: cc53d554d736eaa9c2221890fc6b549ac459ffe6c1a07471b2bc7aaab702014c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a07d9093ef13abbf77bbe1cd2de7ecce25de735480947712ca1c4fe0c530b4dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-08T17:45:22Z",
    "title_canon_sha256": "b7d724358d44488b4f9c827138757a0a8e3275c6b2db0d5b9adfa6b35ccfb970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02790",
    "kind": "arxiv",
    "version": 2
  }
}