Pith Number

pith:J7UZJOUZ

pith:2025:J7UZJOUZTUH3EQHAOKCBXVN5BQ

not attested not anchored not stored refs pending

The Policy Cliff: A Theoretical Analysis of Reward-Policy Maps in Large Language Models

Xingcheng Xu

arxiv:2507.20150 v1 · 2025-07-27 · cs.AI · cs.CL · 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{J7UZJOUZTUH3EQHAOKCBXVN5BQ}

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	2026-07-05T11:44:14.168267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe994ba999d0fb240e072841bd5bd0c09089edc40d158e27a4eb1e9b366e1c5

Aliases

arxiv: 2507.20150 · arxiv_version: 2507.20150v1 · doi: 10.48550/arxiv.2507.20150 · pith_short_12: J7UZJOUZTUH3 · pith_short_16: J7UZJOUZTUH3EQHA · pith_short_8: J7UZJOUZ

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/J7UZJOUZTUH3EQHAOKCBXVN5BQ \
  | 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: 4fe994ba999d0fb240e072841bd5bd0c09089edc40d158e27a4eb1e9b366e1c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c35d02f9befd33e21ae280eff10cf20dcd618496d4f0465b89fb8d8c888824e",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-07-27T06:56:10Z",
    "title_canon_sha256": "d12c4e3e7c14fdeea43cf4ead7a85913d95576fe6b14eaf8ec11a1b32f8c4d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20150",
    "kind": "arxiv",
    "version": 1
  }
}