Pith Number

pith:2FOIZVO2

pith:2026:2FOIZVO2544P5CKF3BT6BSZPMA

not attested not anchored not stored refs pending

Beyond Objective Expressivity: Geometry Preservation in Multimodal Contrastive Learning

Benjamin Wild, Roland Eils, Tillmann Rheude

arxiv:2607.17673 v1 · 2026-07-20 · 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{2FOIZVO2544P5CKF3BT6BSZPMA}

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	2026-07-21T02:21:53.917199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d15c8cd5daef38fe8945d867e0cb2f60300a1eba5028ff3d5d57106b61ebf8ca

Aliases

arxiv: 2607.17673 · arxiv_version: 2607.17673v1 · doi: 10.48550/arxiv.2607.17673 · pith_short_12: 2FOIZVO2544P · pith_short_16: 2FOIZVO2544P5CKF · pith_short_8: 2FOIZVO2

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/2FOIZVO2544P5CKF3BT6BSZPMA \
  | 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: d15c8cd5daef38fe8945d867e0cb2f60300a1eba5028ff3d5d57106b61ebf8ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90945e195b183ddf6b284fd477ba6666facf04b3d01d1295c022413a7c460238",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-20T08:25:45Z",
    "title_canon_sha256": "df1cfed07106be68f2ddbeb2de88ec9b3971156898566eaaa52636f75087fa56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17673",
    "kind": "arxiv",
    "version": 1
  }
}