Pith Number

pith:CBOLIDUU

pith:2026:CBOLIDUUF5W6EEHVKRSADKWR6V

not attested not anchored not stored refs pending

Learning First Integrals via Backward-Generated Data and Guided Reinforcement Learning

Jingfeng Zhong, Shuai Li, Zhengxiang Liu, Zhijie Wang

arxiv:2605.21160 v1 · 2026-05-20 · 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{CBOLIDUUF5W6EEHVKRSADKWR6V}

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	2026-05-21T01:05:40.482863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105cb40e942f6de210f5546401aad1f55a824089e2ae757315c46bbadf367483

Aliases

arxiv: 2605.21160 · arxiv_version: 2605.21160v1 · doi: 10.48550/arxiv.2605.21160 · pith_short_12: CBOLIDUUF5W6 · pith_short_16: CBOLIDUUF5W6EEHV · pith_short_8: CBOLIDUU

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/CBOLIDUUF5W6EEHVKRSADKWR6V \
  | 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: 105cb40e942f6de210f5546401aad1f55a824089e2ae757315c46bbadf367483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e5ea32cc67b4563cf6d09c526cd943126fd492e4a3a4e86f206698bff6ddbfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-20T13:27:39Z",
    "title_canon_sha256": "f6241f8afeaf3033e9fab2751588ab94bef238891bdd748ed81e30ead3ab6cfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21160",
    "kind": "arxiv",
    "version": 1
  }
}