Pith Number

pith:2TJK62UN

pith:2026:2TJK62UNJGWODQOW5CJCRE7TE2

not attested not anchored not stored refs pending

GEMS: Geometric Constraints Enable Multi-Semantic Superposition in LLMs

Yu Deng

arxiv:2606.19946 v1 · 2026-06-18 · cs.CL · 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{2TJK62UNJGWODQOW5CJCRE7TE2}

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	2026-06-19T16:12:58.894967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d2af6a8d49ace1c1d6e8922893f326b55da76e5c5e532b6aae8bb8171ab6a8

Aliases

arxiv: 2606.19946 · arxiv_version: 2606.19946v1 · doi: 10.48550/arxiv.2606.19946 · pith_short_12: 2TJK62UNJGWO · pith_short_16: 2TJK62UNJGWODQOW · pith_short_8: 2TJK62UN

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/2TJK62UNJGWODQOW5CJCRE7TE2 \
  | 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: d4d2af6a8d49ace1c1d6e8922893f326b55da76e5c5e532b6aae8bb8171ab6a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88135470773ebdf78c355816eb5afd91792a70af485b5215a537c72bbbb276d3",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-18T08:43:33Z",
    "title_canon_sha256": "8b707e845bcb69685190445e43de0b7ddcb57f3476a3bc1ee1fee40c0a00ee65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19946",
    "kind": "arxiv",
    "version": 1
  }
}