Pith Number

pith:HBDBYXI4

pith:2026:HBDBYXI4GSD2FRVA6C3GIKLVAA

not attested not anchored not stored refs pending

LeAct: Learning to Reason from Expert Actions

Benjamin Eysenbach, Chengshuai Shi, Chi Jin, Karthik Narasimhan, Raj Ghugare, Ziran Yang

arxiv:2607.21856 v1 · 2026-07-23 · cs.LG · cs.AI · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBDBYXI4GSD2FRVA6C3GIKLVAA}

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	2026-07-27T00:20:24.565326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38461c5d1c3487a2c6a0f0b6642975001aae0fecef4059f8b4d2f08ce9848aa3

Aliases

arxiv: 2607.21856 · arxiv_version: 2607.21856v1 · doi: 10.48550/arxiv.2607.21856 · pith_short_12: HBDBYXI4GSD2 · pith_short_16: HBDBYXI4GSD2FRVA · pith_short_8: HBDBYXI4

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/HBDBYXI4GSD2FRVA6C3GIKLVAA \
  | 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: 38461c5d1c3487a2c6a0f0b6642975001aae0fecef4059f8b4d2f08ce9848aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b75fc04f3382c0078205ca7f29fb25ba545cefaaafc67a92914b3d366208390d",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-23T22:50:23Z",
    "title_canon_sha256": "17b0b860e1fb697eb78cf921189c9335ba3a1769b6c319fb34846a0963fb1757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21856",
    "kind": "arxiv",
    "version": 1
  }
}