Pith Number

pith:V6Y2RNJ2

pith:2026:V6Y2RNJ2Q6U6B4N2IBSSAQSK33

not attested not anchored not stored refs pending

From Symbolic to Geometric: Enabling Spatial Reasoning in Large Language Models

Bita Azarijoo, Chen Chu, Cyrus Shahabi, Khurram Shafique, Li Xiong

arxiv:2606.04381 v1 · 2026-06-03 · cs.LG · 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{V6Y2RNJ2Q6U6B4N2IBSSAQSK33}

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	2026-06-04T01:09:05.970855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb1a8b53a87a9e0f1ba406520424adefce772760223d20cebcc0066705ca552

Aliases

arxiv: 2606.04381 · arxiv_version: 2606.04381v1 · doi: 10.48550/arxiv.2606.04381 · pith_short_12: V6Y2RNJ2Q6U6 · pith_short_16: V6Y2RNJ2Q6U6B4N2 · pith_short_8: V6Y2RNJ2

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/V6Y2RNJ2Q6U6B4N2IBSSAQSK33 \
  | 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: afb1a8b53a87a9e0f1ba406520424adefce772760223d20cebcc0066705ca552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "783a2c1baa9848be049aff26bd50c68969b93aac3accf94b65ee54934638f783",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-03T02:54:59Z",
    "title_canon_sha256": "a9c767d98ef9b074ab5fa228530bfdfbdd8c6246c24f650cc6f61d4f14bd1b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04381",
    "kind": "arxiv",
    "version": 1
  }
}