Pith Number

pith:L4OFJQYF

pith:2026:L4OFJQYFJ42VUVFJYKLCSQRKK3

not attested not anchored not stored refs pending

Geometric Entropy: When Trajectory Diversity Helps and Hurts in Imitation Learning

Pei Zhou, Qian Luo, Ruizhe Liu, Xunzhe Zhou, Yanchao Yang

arxiv:2606.20871 v1 · 2026-06-18 · cs.RO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4OFJQYFJ42VUVFJYKLCSQRKK3}

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	2026-06-23T00:12:01.389135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f1c54c3054f355a54a9c29629422a56ef112bfcdeb319015f63ea1b596fc963

Aliases

arxiv: 2606.20871 · arxiv_version: 2606.20871v1 · doi: 10.48550/arxiv.2606.20871 · pith_short_12: L4OFJQYFJ42V · pith_short_16: L4OFJQYFJ42VUVFJ · pith_short_8: L4OFJQYF

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/L4OFJQYFJ42VUVFJYKLCSQRKK3 \
  | 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: 5f1c54c3054f355a54a9c29629422a56ef112bfcdeb319015f63ea1b596fc963

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "826c1d7bcce5b16d2a4942cb03e5939b1bb41ac6999345df5de145d008db8d1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.RO",
    "submitted_at": "2026-06-18T19:02:08Z",
    "title_canon_sha256": "792aac711530489bbc78578a32d49d6674506ab88dee5f85a7735130c9397faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20871",
    "kind": "arxiv",
    "version": 1
  }
}