Pith Number

pith:3C4BJ5W2

pith:2026:3C4BJ5W2TWH6NPQNXUOQ2UN5W6

not attested not anchored not stored refs pending

Swarm-Inspired Generation of Collective Behaviors in Graph Dynamical Systems

Chao Xu, Chengzhang Gong, Ji Chen, Li Fan, Song Chen

arxiv:2606.24958 v1 · 2026-06-23 · cs.LG · cs.RO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3C4BJ5W2TWH6NPQNXUOQ2UN5W6}

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	2026-06-25T00:17:46.907359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b814f6da9d8fe6be0dbd1d0d51bdb79faa0baae105353057e293df471076dc

Aliases

arxiv: 2606.24958 · arxiv_version: 2606.24958v1 · doi: 10.48550/arxiv.2606.24958 · pith_short_12: 3C4BJ5W2TWH6 · pith_short_16: 3C4BJ5W2TWH6NPQN · pith_short_8: 3C4BJ5W2

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/3C4BJ5W2TWH6NPQNXUOQ2UN5W6 \
  | 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: d8b814f6da9d8fe6be0dbd1d0d51bdb79faa0baae105353057e293df471076dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b33b82b310cd8360911875e6028a075121f03c021fef496d74ee5edd8c4880",
    "cross_cats_sorted": [
      "cs.RO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-23T08:53:36Z",
    "title_canon_sha256": "0ce4af45b046136ec41921c4f691fe6c96e5b8b2db0a170abcad35186a7f6b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24958",
    "kind": "arxiv",
    "version": 1
  }
}