Pith Number

pith:NOPCM4MZ

pith:2016:NOPCM4MZHMQVRFNOXCI5UP6YQI

not attested not anchored not stored refs pending

Hierarchical Prisoner's Dilemma in Hierarchical Public-Goods Game

Kunihiko Kaneko, Takahiro Sagawa, Yuma Fujimoto

arxiv:1609.05896 v1 · 2016-09-19 · physics.soc-ph · 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{NOPCM4MZHMQVRFNOXCI5UP6YQI}

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	2026-05-18T01:04:17.110864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b9e2671993b215895aeb891da3fd882287d2c0d9ba80d0ef3f917a536f5f198

Aliases

arxiv: 1609.05896 · arxiv_version: 1609.05896v1 · doi: 10.48550/arxiv.1609.05896 · pith_short_12: NOPCM4MZHMQV · pith_short_16: NOPCM4MZHMQVRFNO · pith_short_8: NOPCM4MZ

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/NOPCM4MZHMQVRFNOXCI5UP6YQI \
  | 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: 6b9e2671993b215895aeb891da3fd882287d2c0d9ba80d0ef3f917a536f5f198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e0c94effeacc25a2c1b9f77ffe4599c4cb941cf9cec295bc1ec5ae779fdc88",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-09-19T17:07:38Z",
    "title_canon_sha256": "49af3c8666b449b9d50b697ae86a0dc56b23eda83415de95d4e666c4cf2d20e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05896",
    "kind": "arxiv",
    "version": 1
  }
}