Pith Number

pith:VYEFSV3I

pith:2022:VYEFSV3IZOWWUHD3YW5X5WLT4N

not attested not anchored not stored refs pending

Emergence of cooperation in a population with bimodal response behaviors

Guozhong Zheng, Jiqiang Zhang, Li Chen, Lin Ma, Rizhou Liang

arxiv:2205.04640 v2 · 2022-05-10 · physics.soc-ph · cond-mat.dis-nn · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYEFSV3IZOWWUHD3YW5X5WLT4N}

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	2026-07-05T06:24:09.185401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae08595768cbad6a1c7bc5bb7ed973e37a1dc23a1782034941d5002320851a42

Aliases

arxiv: 2205.04640 · arxiv_version: 2205.04640v2 · doi: 10.48550/arxiv.2205.04640 · pith_short_12: VYEFSV3IZOWW · pith_short_16: VYEFSV3IZOWWUHD3 · pith_short_8: VYEFSV3I

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/VYEFSV3IZOWWUHD3YW5X5WLT4N \
  | 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: ae08595768cbad6a1c7bc5bb7ed973e37a1dc23a1782034941d5002320851a42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3c362c35400c6f43dd811a7667c31b08f4eabcf9c9325d48af40dc12fdd692",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "q-bio.PE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2022-05-10T03:08:39Z",
    "title_canon_sha256": "a29aa27e1716306f72e4448ef94c617c2b1c3824008bf4280dfde5bbd971330c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.04640",
    "kind": "arxiv",
    "version": 2
  }
}