Pith Number

pith:RZV247E7

pith:2026:RZV247E7VMX5O47XNLHYPWCGSF

not attested not anchored not stored refs pending

Post-Training at the Edge of Detectability: A Game-Theoretic Approach to Fine-Tuning

Brian W. Lee, Ian Waudby-Smith, Keegan Harris, Michael I. Jordan, Nika Haghtalab, Philip Amortila

arxiv:2607.26358 v1 · 2026-07-29 · cs.LG · cs.AI · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZV247E7VMX5O47XNLHYPWCGSF}

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	2026-07-30T01:18:11.802139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

8e6bae7c9fab2fd773f76acf87d846917364787496d10c935325d03a0d1cab61

Aliases

arxiv: 2607.26358 · arxiv_version: 2607.26358v1 · doi: 10.48550/arxiv.2607.26358 · pith_short_12: RZV247E7VMX5 · pith_short_16: RZV247E7VMX5O47X · pith_short_8: RZV247E7

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/RZV247E7VMX5O47XNLHYPWCGSF \
  | 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: 8e6bae7c9fab2fd773f76acf87d846917364787496d10c935325d03a0d1cab61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "237c38b4a9a7be39020e29a25e444699f40f18dcc7cc542e592373a0c074ab39",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-29T00:19:09Z",
    "title_canon_sha256": "f90122553d6647370be0430f0b5428ddafbf172b595b314be91277c74bf213e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26358",
    "kind": "arxiv",
    "version": 1
  }
}