Pith Number

pith:JOGCPD4H

pith:2026:JOGCPD4HEFPTFEN7ME3XIX7KU2

not attested not anchored not stored refs pending

Deconstructing Spatial Complexity: Hierarchical Decomposition for LLM Spatial Reasoning

Haojie Lu, Li Chen, Sihong Xie, Yi Wang, Zhaofan Zhang

arxiv:2605.28144 v1 · 2026-05-27 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOGCPD4HEFPTFEN7ME3XIX7KU2}

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	2026-05-28T01:05:00.302771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b8c278f87215f3291bf6137745feaa6af1a03bdada96ffe1fd0917e49782513

Aliases

arxiv: 2605.28144 · arxiv_version: 2605.28144v1 · doi: 10.48550/arxiv.2605.28144 · pith_short_12: JOGCPD4HEFPT · pith_short_16: JOGCPD4HEFPTFEN7 · pith_short_8: JOGCPD4H

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/JOGCPD4HEFPTFEN7ME3XIX7KU2 \
  | 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: 4b8c278f87215f3291bf6137745feaa6af1a03bdada96ffe1fd0917e49782513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8476acde300a8190ef35887061dc72c02956b2856b9ac8447fd2a3f1d77e7e92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-27T08:26:57Z",
    "title_canon_sha256": "3e994a2d9d95332015947ef4727394d2886cda1c6de10d99043480762349672a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28144",
    "kind": "arxiv",
    "version": 1
  }
}