Pith Number

pith:LS7FLLFE

pith:2026:LS7FLLFEOH5ARGGNYBCUPHZZLD

not attested not anchored not stored refs pending

Does My Embedding Reflect That $A = B$? Evaluating Mathematical Equivalence in Embedding Models

Henry Kvinge, Jared Darlington, Jarod Alper, Jiaying Ye, Kedar Chintalapati, Leo Carlin, Michael Zhou, Rachit Jaiswal, Saharsh Bhargava, Samarth Rao, Vasily Ilin

arxiv:2606.23959 v1 · 2026-06-22 · 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{LS7FLLFEOH5ARGGNYBCUPHZZLD}

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	2026-06-24T00:14:31.376656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cbe55aca471fa0898cdc045479f3958d680c9c8f17c9b0c59910eac0bdfb734

Aliases

arxiv: 2606.23959 · arxiv_version: 2606.23959v1 · doi: 10.48550/arxiv.2606.23959 · pith_short_12: LS7FLLFEOH5A · pith_short_16: LS7FLLFEOH5ARGGN · pith_short_8: LS7FLLFE

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/LS7FLLFEOH5ARGGNYBCUPHZZLD \
  | 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: 5cbe55aca471fa0898cdc045479f3958d680c9c8f17c9b0c59910eac0bdfb734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "472f9306292289138d23786aaa4e373a40900c8545ea170c69523c06a69feb5b",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-22T21:37:58Z",
    "title_canon_sha256": "ad7d98406b9c76f3b4885dcf2174da54a1c758e2d587cdce6a2ac802cf293694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23959",
    "kind": "arxiv",
    "version": 1
  }
}