Pith Number

pith:Z54RNSPW

pith:2018:Z54RNSPWMQLYPKS442BRUU2UYN

not attested not anchored not stored refs pending

Optimal consensus control of the Cucker-Smale model

Dante Kalise, Jos\'e A. Carrillo, Mattia Bongini, Rafael Bailo

arxiv:1802.01529 v2 · 2018-02-05 · math.OC · math.DS · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z54RNSPWMQLYPKS442BRUU2UYN}

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	2026-05-18T00:05:14.294190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7916c9f6641787aa5ce6831a5354c37eadf2f866d25360f0d4177f7986d425

Aliases

arxiv: 1802.01529 · arxiv_version: 1802.01529v2 · doi: 10.48550/arxiv.1802.01529 · pith_short_12: Z54RNSPWMQLY · pith_short_16: Z54RNSPWMQLYPKS4 · pith_short_8: Z54RNSPW

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/Z54RNSPWMQLYPKS442BRUU2UYN \
  | 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: cf7916c9f6641787aa5ce6831a5354c37eadf2f866d25360f0d4177f7986d425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3654167be507abdeadf1db6629479db006cc1b0efeaee04e9ff6abd285d3cfcb",
    "cross_cats_sorted": [
      "math.DS",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-05T17:41:25Z",
    "title_canon_sha256": "1683ea2d9361eec4e6df8fe0867bee773f442bb724de729b478491c15de1c87b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01529",
    "kind": "arxiv",
    "version": 2
  }
}