Pith Number

pith:6U5CPNKZ

pith:2026:6U5CPNKZHCGY7HFRTG4YSMLMNT

not attested not anchored not stored refs pending

Efficient Long-Horizon Learning for Learned Optimization

Benjamin Th\'erien, Eugene Belilovsky, James Harrison, Xiaolong Huang

arxiv:2607.06772 v1 · 2026-07-07 · 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{6U5CPNKZHCGY7HFRTG4YSMLMNT}

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	2026-07-09T00:19:26.087546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f53a27b559388d8f9cb199b989316c6ce9c1ca5b9a4750a00a794283c3322ab5

Aliases

arxiv: 2607.06772 · arxiv_version: 2607.06772v1 · doi: 10.48550/arxiv.2607.06772 · pith_short_12: 6U5CPNKZHCGY · pith_short_16: 6U5CPNKZHCGY7HFR · pith_short_8: 6U5CPNKZ

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/6U5CPNKZHCGY7HFRTG4YSMLMNT \
  | 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: f53a27b559388d8f9cb199b989316c6ce9c1ca5b9a4750a00a794283c3322ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204eb5b878e0023fb3ae705f716e423fcdc1d8bda02af161dd16432a9f1d39c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-07T20:05:22Z",
    "title_canon_sha256": "b55060c545c0e04f6c5545daeead3dd00bfc4dfec88d0f1841c510c1ce3015de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06772",
    "kind": "arxiv",
    "version": 1
  }
}