Pith Number

pith:AAVRH44L

pith:2026:AAVRH44LKJIYW7U47ONOOADJQ4

not attested not anchored not stored refs pending

Is the Geometry Doing the Work? An Operating-Point Audit of Hierarchy in Hyperbolic Vision-Language Models

Dongsuk Jang, Eunseok Kim, Jaeyoung Kim

arxiv:2607.05268 v1 · 2026-07-06 · cs.CV · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAVRH44LKJIYW7U47ONOOADJQ4}

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	2026-07-07T03:19:21.507874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

002b13f38b52518b7e9cfb9ae7006987012151f2463f080375dff2e9636c3125

Aliases

arxiv: 2607.05268 · arxiv_version: 2607.05268v1 · doi: 10.48550/arxiv.2607.05268 · pith_short_12: AAVRH44LKJIY · pith_short_16: AAVRH44LKJIYW7U4 · pith_short_8: AAVRH44L

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/AAVRH44LKJIYW7U47ONOOADJQ4 \
  | 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: 002b13f38b52518b7e9cfb9ae7006987012151f2463f080375dff2e9636c3125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737c418e036410cf8865fab1db1aef1a120315776fa2036b25b399aa92476680",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-07-06T16:18:05Z",
    "title_canon_sha256": "d2f1dfb0af105b3ad1fe401ca4c817838fdd7e3340462a9a71f1aa41f34ddeec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05268",
    "kind": "arxiv",
    "version": 1
  }
}