Pith Number

pith:MDNBLAUZ

pith:2026:MDNBLAUZ7GZBJL7U5QRDDAYIFV

not attested not anchored not stored refs pending

Integrating Out, Twice:The Open-System Case That Neural-Network Ensemble Theory Is Missing

Jin Lei

arxiv:2606.09950 v1 · 2026-06-08 · cs.LG · nucl-th · physics.comp-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDNBLAUZ7GZBJL7U5QRDDAYIFV}

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	2026-06-10T00:08:34.496009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60da158299f9b214aff4ec223183082d4a0f4b02a6672d7ebc4b6298d680256c

Aliases

arxiv: 2606.09950 · arxiv_version: 2606.09950v1 · doi: 10.48550/arxiv.2606.09950 · pith_short_12: MDNBLAUZ7GZB · pith_short_16: MDNBLAUZ7GZBJL7U · pith_short_8: MDNBLAUZ

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/MDNBLAUZ7GZBJL7U5QRDDAYIFV \
  | 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: 60da158299f9b214aff4ec223183082d4a0f4b02a6672d7ebc4b6298d680256c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9677c81d8485f825b167f8c19c953dd83416d164829eff2ac963f260aed6cfbd",
    "cross_cats_sorted": [
      "nucl-th",
      "physics.comp-ph",
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-08T08:57:34Z",
    "title_canon_sha256": "9d83a0be04a1b2952eac341c9db83e0a5d42afb4beaf6ed1ce42bd7fa8f45bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09950",
    "kind": "arxiv",
    "version": 1
  }
}