Pith Number

pith:WMMRLRBH

pith:2023:WMMRLRBHROIT4G6Y3ZYWOFE2SN

not attested not anchored not stored refs pending

Complex Pathways to Cooperation Emergent from Asymmetry in Heterogeneous Populations

Chen Shen, Hao Guo, Junliang Xing, Pin Tao, Rongcheng Zou, Yuanchun Shi, Zhen Wang

arxiv:2310.07615 v2 · 2023-10-11 · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMMRLRBHROIT4G6Y3ZYWOFE2SN}

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	2026-07-05T07:54:33.545563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b31915c4278b913e1bd8de7167149a93684ae5358d500c2f0a4584c2ac7ef54e

Aliases

arxiv: 2310.07615 · arxiv_version: 2310.07615v2 · doi: 10.48550/arxiv.2310.07615 · pith_short_12: WMMRLRBHROIT · pith_short_16: WMMRLRBHROIT4G6Y · pith_short_8: WMMRLRBH

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/WMMRLRBHROIT4G6Y3ZYWOFE2SN \
  | 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: b31915c4278b913e1bd8de7167149a93684ae5358d500c2f0a4584c2ac7ef54e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "557b491e41bb8df54288f672d3ac7e1e7542ca9cbf3831fa0a72c0aa69d97c78",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2023-10-11T15:59:11Z",
    "title_canon_sha256": "dedd6d974ca7c242bde760d6aab8c73debdb6d665a49abebf2f9da127a2495cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.07615",
    "kind": "arxiv",
    "version": 2
  }
}