Pith Number

pith:5VPXUO2V

pith:2026:5VPXUO2VJ4FA4JGVNCY4WQATKG

not attested not anchored not stored refs pending

On the Structural Limits of Machine Learning Decision Systems: An Information-Theoretic, Interaction-Based, and Stochastic-Dynamical Perspective

Gabriel Pena, Nestor R. Barraza

arxiv:2608.13510 v1 · 2026-08-13 · math.ST · cs.LG · stat.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{5VPXUO2VJ4FA4JGVNCY4WQATKG}

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	2026-08-14T01:24:55.031023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5f7a3b554f0a0e24d568b1cb401351aafd1944cf966657c00c86f000b10345

Aliases

arxiv: 2608.13510 · arxiv_version: 2608.13510v1 · doi: 10.48550/arxiv.2608.13510 · pith_short_12: 5VPXUO2VJ4FA · pith_short_16: 5VPXUO2VJ4FA4JGV · pith_short_8: 5VPXUO2V

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/5VPXUO2VJ4FA4JGVNCY4WQATKG \
  | 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: ed5f7a3b554f0a0e24d568b1cb401351aafd1944cf966657c00c86f000b10345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9e32f7eebec18813236cbc1530620c692f9e475e2779288cc90ce6d6c7c7d3",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-08-13T17:34:41Z",
    "title_canon_sha256": "4842ac551e03d82fdcae49a3d6386425b75586cc63c720c54ed2ca960c9a76df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13510",
    "kind": "arxiv",
    "version": 1
  }
}