Pith Number

pith:B23UHDYW

pith:2026:B23UHDYWBRITON7TEAIRR63GGI

not attested not anchored not stored refs pending

Reinforcement Learning with Verifiable Physics: Post-training LLMs with Continuous Rewards

Alan Edelman, Christopher Vincent Rackauckas, Pengfei Cai, Rafael Gomez-Bombarelli, Utkarsh Utkarsh

arxiv:2607.10474 v1 · 2026-07-11 · cs.LG · cs.AI · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B23UHDYWBRITON7TEAIRR63GGI}

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	2026-07-14T01:21:17.552307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb7438f160c513737f3201118fb663213c51e1c7537bf1e48e5c947203f72cb

Aliases

arxiv: 2607.10474 · arxiv_version: 2607.10474v1 · doi: 10.48550/arxiv.2607.10474 · pith_short_12: B23UHDYWBRIT · pith_short_16: B23UHDYWBRITON7T · pith_short_8: B23UHDYW

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/B23UHDYWBRITON7TEAIRR63GGI \
  | 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: 0eb7438f160c513737f3201118fb663213c51e1c7537bf1e48e5c947203f72cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e664fc78e1cffd2177d88e9aa47fe0f7ab97412207736554bee0fd7253b2311e",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-11T20:53:04Z",
    "title_canon_sha256": "d08492810c40051c8c49bbb53ad45a9370bb6f390e20fa9faacd60ef3ba03959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10474",
    "kind": "arxiv",
    "version": 1
  }
}