Pith Number

pith:LJEJZAEM

pith:2026:LJEJZAEMJE44QX6PDR5RZ245ZY

not attested not anchored not stored refs pending

Statistical Guarantees for Reasoning Probes on Looped Boolean Circuits

A. Martina Neuman, Anastasis Kratsios, Giulia Livieri

arxiv:2602.03970 v3 · 2026-02-03 · stat.ML · cs.LG · cs.NE · math.MG · math.ST · 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{LJEJZAEMJE44QX6PDR5RZ245ZY}

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	2026-06-02T02:04:13.906219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a489c808c4939c85fcf1c7b1ceb9dce2d75c3a0f6d813257d1bec7c718d64ab

Aliases

arxiv: 2602.03970 · arxiv_version: 2602.03970v3 · doi: 10.48550/arxiv.2602.03970 · pith_short_12: LJEJZAEMJE44 · pith_short_16: LJEJZAEMJE44QX6P · pith_short_8: LJEJZAEM

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/LJEJZAEMJE44QX6PDR5RZ245ZY \
  | 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: 5a489c808c4939c85fcf1c7b1ceb9dce2d75c3a0f6d813257d1bec7c718d64ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e181b795dd34c3105f28a23a6e2319bfa92543bf01e22d311f3be80cfdea2a",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NE",
      "math.MG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-02-03T19:39:53Z",
    "title_canon_sha256": "1b6ca3379e79ca18f1111c0eaf8106708cfd632f4b254e2a3f3807e258debb74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.03970",
    "kind": "arxiv",
    "version": 3
  }
}