Pith Number

pith:6VOQCAF3

pith:2026:6VOQCAF3UV6TBFP4HIBRUPU62P

not attested not anchored not stored refs pending

Teacher-Free Self-Training Amplifies but Does Not Compound: A Pass@$K$ Crossover on a Free-Verifier Domain

Igor Lima Strozzi

arxiv:2606.07856 v1 · 2026-06-05 · 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{6VOQCAF3UV6TBFP4HIBRUPU62P}

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	2026-06-09T01:04:53.921363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f55d0100bba57d3095fc3a031a3e9ed3fed1fa30dd11142eee8a02103d26d6fa

Aliases

arxiv: 2606.07856 · arxiv_version: 2606.07856v1 · doi: 10.48550/arxiv.2606.07856 · pith_short_12: 6VOQCAF3UV6T · pith_short_16: 6VOQCAF3UV6TBFP4 · pith_short_8: 6VOQCAF3

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/6VOQCAF3UV6TBFP4HIBRUPU62P \
  | 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: f55d0100bba57d3095fc3a031a3e9ed3fed1fa30dd11142eee8a02103d26d6fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "affcd4e0cc98ef4db1358e2bc54bc99b374eed3c0ef9e6231dafffe79bb17108",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-05T21:37:49Z",
    "title_canon_sha256": "625e2518e7f8946efeca7069d31d4526b4ecd6abfb089719907aa5e64df07c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07856",
    "kind": "arxiv",
    "version": 1
  }
}