Pith Number

pith:ZZHS6EFR

pith:2026:ZZHS6EFREHFRH4R3HSLH2N7LFX

not attested not anchored not stored refs pending

The Two-Hump Problem: Bridging the Difficulty Gap in Mathematical Reinforcement Learning

Ali Shehper, Angus Gruen, Coco Huang, Davide Passaro, Giorgi Butbaia, Lucas Fagan, Maksymilian Manko, Michele Tarquini, Sergei Gukov

arxiv:2606.21611 v1 · 2026-06-19 · cs.LG · cs.AI · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZHS6EFREHFRH4R3HSLH2N7LFX}

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	2026-06-23T01:13:16.268456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4f2f10b121cb13f23b3c967d37eb2df7df675cfa71a7615d4b00b659d15421

Aliases

arxiv: 2606.21611 · arxiv_version: 2606.21611v1 · doi: 10.48550/arxiv.2606.21611 · pith_short_12: ZZHS6EFREHFR · pith_short_16: ZZHS6EFREHFRH4R3 · pith_short_8: ZZHS6EFR

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/ZZHS6EFREHFRH4R3HSLH2N7LFX \
  | 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: ce4f2f10b121cb13f23b3c967d37eb2df7df675cfa71a7615d4b00b659d15421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d451caac25505aba206317438cb05b3ed1598055c10505323ec952178da5e0",
    "cross_cats_sorted": [
      "cs.AI",
      "math.GR",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-19T17:14:47Z",
    "title_canon_sha256": "d1569faa7d518cd3c7ed838f30fe8fd35fd318098a1648b5a5ecd1393a46a96c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21611",
    "kind": "arxiv",
    "version": 1
  }
}