Pith Number

pith:IZ5CVUZM

pith:2026:IZ5CVUZMDWCLLQJ3SVIEF6UQ7H

not attested not anchored not stored refs pending

Unveiling Complex Collective Behaviors from Simple Rewards

Jianan Li, Liang Li, Shiyu Zhao, Yize Mi

arxiv:2607.12861 v1 · 2026-07-14 · cs.RO · cs.AI · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZ5CVUZMDWCLLQJ3SVIEF6UQ7H}

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	2026-07-15T01:22:22.252424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467a2ad32c1d84b5c13b955042fa90f9fdcf4cfe66f59e42535127a4fa2b2219

Aliases

arxiv: 2607.12861 · arxiv_version: 2607.12861v1 · doi: 10.48550/arxiv.2607.12861 · pith_short_12: IZ5CVUZMDWCL · pith_short_16: IZ5CVUZMDWCLLQJ3 · pith_short_8: IZ5CVUZM

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/IZ5CVUZMDWCLLQJ3SVIEF6UQ7H \
  | 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: 467a2ad32c1d84b5c13b955042fa90f9fdcf4cfe66f59e42535127a4fa2b2219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4716fcf175fb9a2d76a26a0d5cda34527a4dd4e4269b596e3fbf565f36a61c39",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.RO",
    "submitted_at": "2026-07-14T15:11:26Z",
    "title_canon_sha256": "e875b28b6bde8c6292ab18fcd708e4bc0d221d7d90e70a93d5d67a95383f67bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12861",
    "kind": "arxiv",
    "version": 1
  }
}