Pith Number

pith:BXADD4BZ

pith:2023:BXADD4BZJOL5JO4XTHZCFDAGXY

not attested not anchored not stored refs pending

The coupling effect between the environment and strategies drives the emergence of group cooperation

Changyan Di, Jinqiang Wang, Jun Shen, Qingguo Zhou, Rui Zhou, Tianyi Wang

arxiv:2308.02888 v1 · 2023-08-05 · physics.bio-ph · cs.MA · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXADD4BZJOL5JO4XTHZCFDAGXY}

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	2026-07-05T06:38:08.925167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dc031f0394b97d4bb9799f2228c06be21d03d1bc7217e6cce24b75a5ada9bd0

Aliases

arxiv: 2308.02888 · arxiv_version: 2308.02888v1 · doi: 10.48550/arxiv.2308.02888 · pith_short_12: BXADD4BZJOL5 · pith_short_16: BXADD4BZJOL5JO4X · pith_short_8: BXADD4BZ

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/BXADD4BZJOL5JO4XTHZCFDAGXY \
  | 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: 0dc031f0394b97d4bb9799f2228c06be21d03d1bc7217e6cce24b75a5ada9bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f1f86daaef6b745de02e4e5968ab731341e4289510b51fc4e55008a878bf35",
    "cross_cats_sorted": [
      "cs.MA",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2023-08-05T14:09:18Z",
    "title_canon_sha256": "ce9c611c4ca4e886e8b1e4d9d2342d787a550ab5206300ca91f83650bd22c630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.02888",
    "kind": "arxiv",
    "version": 1
  }
}