Pith Number

pith:2NGDHNA2

pith:2014:2NGDHNA22CLIHSBEHOOF4K6EYT

not attested not anchored not stored refs pending

Modulus Consensus over Networks with Antagonistic Interactions and Switching Topologies

Guodong Shi, Karl H. Johansson, Ming Cao, Yiguang Hong, Ziyang Meng

arxiv:1402.2766 v2 · 2014-02-12 · 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{2NGDHNA22CLIHSBEHOOF4K6EYT}

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	2026-05-18T01:16:37.744439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d34c33b41ad09683c8243b9c5e2bc4c4faf3a3ce9e95c7d7e3eb2f78e7c764be

Aliases

arxiv: 1402.2766 · arxiv_version: 1402.2766v2 · doi: 10.48550/arxiv.1402.2766 · pith_short_12: 2NGDHNA22CLI · pith_short_16: 2NGDHNA22CLIHSBE · pith_short_8: 2NGDHNA2

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/2NGDHNA22CLIHSBEHOOF4K6EYT \
  | 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: d34c33b41ad09683c8243b9c5e2bc4c4faf3a3ce9e95c7d7e3eb2f78e7c764be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3fbfcc2973517725c4e00a15f240867f80432c0df4a2899be217b0a7cc36cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-02-12T09:20:12Z",
    "title_canon_sha256": "26446229497063db6f8a0dceb17f6f13f165258867268cc3e36ff55bd1a060e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2766",
    "kind": "arxiv",
    "version": 2
  }
}