Pith Number

pith:CZ42OPZC

pith:2019:CZ42OPZCBOE4L2QRP72BAQ7A2J

not attested not anchored not stored refs pending

Counterfactual thinking in cooperation dynamics

Francisco C. Santos, Luis Moniz Pereira

arxiv:1912.08946 v1 · 2019-12-18 · cs.AI · cs.MA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZ42OPZCBOE4L2QRP72BAQ7A2J}

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	2026-07-05T00:27:21.987872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1679a73f220b89c5ea117ff41043e0d266fa302ee7644e6d73f55fbb0cd03719

Aliases

arxiv: 1912.08946 · arxiv_version: 1912.08946v1 · doi: 10.48550/arxiv.1912.08946 · pith_short_12: CZ42OPZCBOE4 · pith_short_16: CZ42OPZCBOE4L2QR · pith_short_8: CZ42OPZC

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/CZ42OPZCBOE4L2QRP72BAQ7A2J \
  | 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: 1679a73f220b89c5ea117ff41043e0d266fa302ee7644e6d73f55fbb0cd03719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68549208ca7127bdbb82f8b17a38b7b76e0f7cd313fa55ef7d2c2ae70f5b2ec1",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2019-12-18T23:38:34Z",
    "title_canon_sha256": "1ec234658bd05181daad9349602517136645db32eeba95a14de2ddecdda311d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.08946",
    "kind": "arxiv",
    "version": 1
  }
}