Pith Number

pith:LUMXB3NT

pith:2025:LUMXB3NTEOWPRL3MD66WQS75RN

not attested not anchored not stored refs pending

Emergence of Hierarchies in Multi-Agent Self-Organizing Systems Pursuing a Joint Objective

Anton van Beek, Gang Chen, Guoxin Wang, Yan Yan, Zhenjun Ming

arxiv:2508.09541 v1 · 2025-08-13 · cs.MA · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUMXB3NTEOWPRL3MD66WQS75RN}

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	2026-07-05T11:53:16.813921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d1970edb323acf8af6c1fbd684bfd8b6e8e6f0b192eccc939933d6be1a02b44

Aliases

arxiv: 2508.09541 · arxiv_version: 2508.09541v1 · doi: 10.48550/arxiv.2508.09541 · pith_short_12: LUMXB3NTEOWP · pith_short_16: LUMXB3NTEOWPRL3M · pith_short_8: LUMXB3NT

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/LUMXB3NTEOWPRL3MD66WQS75RN \
  | 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: 5d1970edb323acf8af6c1fbd684bfd8b6e8e6f0b192eccc939933d6be1a02b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e28e66e011b313c9f3bf669313ef134964ce65340ebc9ceaf24256fc80cc476c",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MA",
    "submitted_at": "2025-08-13T06:50:03Z",
    "title_canon_sha256": "2bf72aff68211106ca33b9c564cdd7130ffe1852ce03c5dd75f28192ee887015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09541",
    "kind": "arxiv",
    "version": 1
  }
}