Pith Number

pith:KKFILM4I

pith:2026:KKFILM4I6AKIX7CCGQ5JWAI2FG

not attested not anchored not stored refs pending

The Replicator-Optimization Mechanism: A Scale-Relative Formalism for Persistence-Conditioned Dynamics with Application to Consent-Based Metaethics

Murad Farzulla

arxiv:2601.06363 v2 · 2026-01-10 · econ.TH · 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{KKFILM4I6AKIX7CCGQ5JWAI2FG}

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	2026-06-12T01:08:20.876616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

528a85b388f0148bfc42343a9b011a29a21643df0b9b3318f1f9a5cee663128e

Aliases

arxiv: 2601.06363 · arxiv_version: 2601.06363v2 · doi: 10.48550/arxiv.2601.06363 · pith_short_12: KKFILM4I6AKI · pith_short_16: KKFILM4I6AKIX7CC · pith_short_8: KKFILM4I

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/KKFILM4I6AKIX7CCGQ5JWAI2FG \
  | 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: 528a85b388f0148bfc42343a9b011a29a21643df0b9b3318f1f9a5cee663128e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12fe359164f4633e0599302dd30fdd218d3918675477b295b42b29ffc2d0783b",
    "cross_cats_sorted": [
      "cs.MA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-01-10T00:16:10Z",
    "title_canon_sha256": "77402f46608b24084ac6967084aa28c357bde60d997ac19342f9646a93aaecbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.06363",
    "kind": "arxiv",
    "version": 2
  }
}