Pith Number

pith:GXFNXPXE

pith:2026:GXFNXPXEL5I65VSVEBFISX4DPD

not attested not anchored not stored refs pending

The Anatomy of a Truth Direction: Knowledge-Dependent Dimensionality, a Relational Law, and a Convergent Category Geometry in Small Language Models

Francesco Karim Vicidomini

arxiv:2607.16741 v1 · 2026-07-18 · 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{GXFNXPXEL5I65VSVEBFISX4DPD}

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	2026-07-21T01:20:24.577090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35cadbbee45f51eed655204a895f8378fc40752400cba184cd825d349ea82703

Aliases

arxiv: 2607.16741 · arxiv_version: 2607.16741v1 · doi: 10.48550/arxiv.2607.16741 · pith_short_12: GXFNXPXEL5I6 · pith_short_16: GXFNXPXEL5I65VSV · pith_short_8: GXFNXPXE

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/GXFNXPXEL5I65VSVEBFISX4DPD \
  | 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: 35cadbbee45f51eed655204a895f8378fc40752400cba184cd825d349ea82703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e052c83bb7a578cd04846ae8c62f8df7bc636333185019ef0347f19848bd9fb8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-18T10:03:21Z",
    "title_canon_sha256": "d4989d4810995c82830cee22536228fe07d817e88a451ff09562923be6e8927a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16741",
    "kind": "arxiv",
    "version": 1
  }
}