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Pith Number

pith:4WKIGLHL

pith:2025:4WKIGLHLZWXE4QR3F6Y2BK7GI3
not attested not anchored not stored refs pending

Reinforcement Learning in hyperbolic space for multi-step reasoning

Dung-Yang Lee, Momiao Xiong, Tao Xu

arxiv:2507.16864 v1 · 2025-07-21 · cs.LG · cs.AI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4WKIGLHLZWXE4QR3F6Y2BK7GI3}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T11:41:57.373712Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e594832cebcdae4e423b2fb1a0abe646cf6b60bf5264120bfc3e4fc55114ee93

Aliases

arxiv: 2507.16864 · arxiv_version: 2507.16864v1 · doi: 10.48550/arxiv.2507.16864 · pith_short_12: 4WKIGLHLZWXE · pith_short_16: 4WKIGLHLZWXE4QR3 · pith_short_8: 4WKIGLHL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4WKIGLHLZWXE4QR3F6Y2BK7GI3 \
  | 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: e594832cebcdae4e423b2fb1a0abe646cf6b60bf5264120bfc3e4fc55114ee93
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "13a2825f1f53212f13ce31787c6404f6dc58df05d6b0b89418b42585b7309813",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-21T21:59:05Z",
    "title_canon_sha256": "8dceebf633591ea50bdd3affef22315a5c259dbe551515806211b3cd050fc09b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16864",
    "kind": "arxiv",
    "version": 1
  }
}