Pith Number

pith:ZC5PUPYX

pith:2017:ZC5PUPYXJPBYCIUOPCCEU44PD3

not attested not anchored not stored refs pending

Chaos and unpredictability in evolution of cooperation in continuous time

Hang-Hyun Jo, Minji Kwon, Seung Ki Baek, Taekho You, Woo-Sung Jung

arxiv:1712.05906 v1 · 2017-12-16 · q-bio.PE · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZC5PUPYXJPBYCIUOPCCEU44PD3}

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	2026-05-18T00:27:51.547481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8bafa3f174bc381228e78844a738f1ee0924eacded7ba2399edbfc0501d0f15

Aliases

arxiv: 1712.05906 · arxiv_version: 1712.05906v1 · doi: 10.48550/arxiv.1712.05906 · pith_short_12: ZC5PUPYXJPBY · pith_short_16: ZC5PUPYXJPBYCIUO · pith_short_8: ZC5PUPYX

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/ZC5PUPYXJPBYCIUOPCCEU44PD3 \
  | 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: c8bafa3f174bc381228e78844a738f1ee0924eacded7ba2399edbfc0501d0f15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a24b206b3ba46e219e73042ad184a231761d836ed370565cfb037da746f906b",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2017-12-16T05:30:26Z",
    "title_canon_sha256": "7cd0c22aa732aad379792216dcdcd31c048e4e3c9443ed0b0628e3f02dca96fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05906",
    "kind": "arxiv",
    "version": 1
  }
}