Pith Number

pith:MDB2RPOW

pith:2026:MDB2RPOWGE3LRTK27Z55PDXWDQ

not attested not anchored not stored refs pending

The Physics of Multi-Turn Long-Horizon Planning: From Pre-training to Post-training via Single- and Multi-Teacher On-Policy Agentic Distillation

Jun Zhao, Kang Liu, Tianyi Men, Zhuoran Jin

arxiv:2607.24720 v1 · 2026-07-27 · cs.CL · cs.AI · 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{MDB2RPOWGE3LRTK27Z55PDXWDQ}

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	2026-07-28T02:24:24.075667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60c3a8bdd63136b8cd5afe7bd78ef61c149a4c050a6be379c20e2b786da0b8b7

Aliases

arxiv: 2607.24720 · arxiv_version: 2607.24720v1 · doi: 10.48550/arxiv.2607.24720 · pith_short_12: MDB2RPOWGE3L · pith_short_16: MDB2RPOWGE3LRTK2 · pith_short_8: MDB2RPOW

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/MDB2RPOWGE3LRTK27Z55PDXWDQ \
  | 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: 60c3a8bdd63136b8cd5afe7bd78ef61c149a4c050a6be379c20e2b786da0b8b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d79737e6b7e192c3060c96d9318ad54617482e5d9ea8458099c033fb9b85a22",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-07-27T17:55:03Z",
    "title_canon_sha256": "9729ed823b4463729dbe93a04d229fe346da2225008c2d785bc87541e253e78c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24720",
    "kind": "arxiv",
    "version": 1
  }
}