Pith Number

pith:MPMKXRAK

pith:2026:MPMKXRAKADVPKQQIPUE5QW3CDY

not attested not anchored not stored refs pending

When Does Reward Teach State? A Hidden-Automaton Instrument and the Group-Language Boundary

Jim Allchin

arxiv:2607.11953 v1 · 2026-07-11 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPMKXRAKADVPKQQIPUE5QW3CDY}

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	2026-07-15T00:21:24.777531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63d8abc40a00eaf542087d09d85b621e360ebb1be64c28d4a34b5ffdcecffa02

Aliases

arxiv: 2607.11953 · arxiv_version: 2607.11953v1 · doi: 10.48550/arxiv.2607.11953 · pith_short_12: MPMKXRAKADVP · pith_short_16: MPMKXRAKADVPKQQI · pith_short_8: MPMKXRAK

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/MPMKXRAKADVPKQQIPUE5QW3CDY \
  | 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: 63d8abc40a00eaf542087d09d85b621e360ebb1be64c28d4a34b5ffdcecffa02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18448d4cc9145872e811a33fbbba2d617ac684e5a586dc2fc91cf9f4205c83f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-11T21:33:32Z",
    "title_canon_sha256": "32714d1ccf48abf3918e4334aca1d3373215328ae8145a75670694c211469a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11953",
    "kind": "arxiv",
    "version": 1
  }
}