Pith Number

pith:ZWCI3FXK

pith:2025:ZWCI3FXKQPQ6YTTRDJJHP7EMGQ

not attested not anchored not stored refs pending

The Theory of Strategic Evolution: Games with Endogenous Players and Strategic Replicators

Kevin Vallier

arxiv:2512.07901 v3 · 2025-12-05 · cs.GT · cs.AI · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWCI3FXKQPQ6YTTRDJJHP7EMGQ}

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	2026-07-14T00:18:21.094005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd848d96ea83e1ec4e711a5277fc8c340ced4b5e6c8868e55e13262535e6059d

Aliases

arxiv: 2512.07901 · arxiv_version: 2512.07901v3 · doi: 10.48550/arxiv.2512.07901 · pith_short_12: ZWCI3FXKQPQ6 · pith_short_16: ZWCI3FXKQPQ6YTTR · pith_short_8: ZWCI3FXK

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/ZWCI3FXKQPQ6YTTRDJJHP7EMGQ \
  | 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: cd848d96ea83e1ec4e711a5277fc8c340ced4b5e6c8868e55e13262535e6059d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0380a7cffb748018786ece5f5b34a35ce291434adef462e215c9807de78005",
    "cross_cats_sorted": [
      "cs.AI",
      "econ.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-12-05T21:58:03Z",
    "title_canon_sha256": "71cadbc6795055b5b4885066744d2d2bc749f5e9b416395d8381eed522a68af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.07901",
    "kind": "arxiv",
    "version": 3
  }
}