Pith Number

pith:XTU5PDCI

pith:2026:XTU5PDCIB75B64GPS7SNYRCLL7

not attested not anchored not stored refs pending

Learning Visual Spatial Planning from Symbolic State via Modality-Gap-Aware Self-Distillation

Haocheng Luo, Jiahui Liu, Jiaqi Huang, Jun Zhou, Quan Shi, Ruicheng Zhang, Xiu Li, Zhizhou Zhong, Zunnan Xu

arxiv:2606.06076 v1 · 2026-06-04 · cs.AI · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTU5PDCIB75B64GPS7SNYRCLL7}

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	2026-06-05T01:15:32.250751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce9d78c480ffa1f70cf97e4dc444b5ffe07bff42c9bd288b9a46063f460d84a

Aliases

arxiv: 2606.06076 · arxiv_version: 2606.06076v1 · doi: 10.48550/arxiv.2606.06076 · pith_short_12: XTU5PDCIB75B · pith_short_16: XTU5PDCIB75B64GP · pith_short_8: XTU5PDCI

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/XTU5PDCIB75B64GPS7SNYRCLL7 \
  | 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: bce9d78c480ffa1f70cf97e4dc444b5ffe07bff42c9bd288b9a46063f460d84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c6c25972469ec62838cbf75f922e434b714d1491d086b1dbf9337e10edbcb21",
    "cross_cats_sorted": [
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-04T12:13:24Z",
    "title_canon_sha256": "17be7f2f48e2d182252385444a93dd088dd7f0d26e1b848f2ac2b17632ea32cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06076",
    "kind": "arxiv",
    "version": 1
  }
}