Pith Number

pith:S2SNMD3Z

pith:2026:S2SNMD3ZPGTCG4Z242OCIDZ2JH

not attested not anchored not stored refs pending

Self-Evolving Spatial Reasoning in Vision Language Models via Geometric Logic Consistency

Ding Wang, Junming Liu, Maonan Wang, Piotr Koniusz, Yifei Sun, Yirong Chen, Yuqi Li

arxiv:2605.18162 v1 · 2026-05-18 · cs.CV · 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{S2SNMD3ZPGTCG4Z242OCIDZ2JH}

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	2026-05-20T00:05:48.936599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96a4d60f7979a623733ae69c240f3a49d9417cc9150eea5bcfbbc9ebbfff7feb

Aliases

arxiv: 2605.18162 · arxiv_version: 2605.18162v1 · doi: 10.48550/arxiv.2605.18162 · pith_short_12: S2SNMD3ZPGTC · pith_short_16: S2SNMD3ZPGTCG4Z2 · pith_short_8: S2SNMD3Z

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/S2SNMD3ZPGTCG4Z242OCIDZ2JH \
  | 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: 96a4d60f7979a623733ae69c240f3a49d9417cc9150eea5bcfbbc9ebbfff7feb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e2e4f9a37e8c1787ac970b415a8b93366bb419d2e54dfc075e0e7110936733b",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-05-18T10:05:21Z",
    "title_canon_sha256": "d01168d4825e2e1e7235b1aaaab4e9bd4fa99184a066298b3198a27bde597843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18162",
    "kind": "arxiv",
    "version": 1
  }
}