Pith Number

pith:ZTRQBSB3

pith:2026:ZTRQBSB3YUKYIMA7BWTECJWBZG

not attested not anchored not stored refs pending

Grounding Spatial Relations in a Compact World Model: Instruction Leakage and a Goal-Free Dynamics Fix

Haibin Ling, Lu wei, Yufeng Wang

arxiv:2607.06925 v1 · 2026-07-08 · 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{ZTRQBSB3YUKYIMA7BWTECJWBZG}

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	2026-07-09T00:19:40.203884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cce300c83bc51584301f0da64126c1c98ca7b9d7c6b94053847dae3146bac8ab

Aliases

arxiv: 2607.06925 · arxiv_version: 2607.06925v1 · doi: 10.48550/arxiv.2607.06925 · pith_short_12: ZTRQBSB3YUKY · pith_short_16: ZTRQBSB3YUKYIMA7 · pith_short_8: ZTRQBSB3

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/ZTRQBSB3YUKYIMA7BWTECJWBZG \
  | 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: cce300c83bc51584301f0da64126c1c98ca7b9d7c6b94053847dae3146bac8ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ce548e02b3f9cf9292a07278e2e729f5109013ac8b6e074a825284373795e3e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-08T02:38:43Z",
    "title_canon_sha256": "bb58b8c0ebb0c2467d505c44b8ea88acd34babb70f50a79fc40e4dc1f2f2ef15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06925",
    "kind": "arxiv",
    "version": 1
  }
}