Pith Number

pith:7TL6ZIVX

pith:2026:7TL6ZIVXDOYV75KSFGL3FEFJWR

not attested not anchored not stored refs pending

Expanding SPHERE-JEPA: A Family of Statistical Regularizers for the Hypersphere

ATT), Enric Meinhardt-Llopis (CB), Gabriele Facciolo (CB), IFUMI), L\'eo Nicollier (CB, Marc Pic (ATT), Max Dunitz (ATT), Pablo Mus\'e (CB

arxiv:2606.17603 v1 · 2026-06-16 · 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{7TL6ZIVXDOYV75KSFGL3FEFJWR}

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	2026-06-19T16:10:17.078769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd7eca2b71bb15ff5522997b290a9b45679af555e6dc9b75377c4d4eba0a7d9

Aliases

arxiv: 2606.17603 · arxiv_version: 2606.17603v1 · doi: 10.48550/arxiv.2606.17603 · pith_short_12: 7TL6ZIVXDOYV · pith_short_16: 7TL6ZIVXDOYV75KS · pith_short_8: 7TL6ZIVX

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/7TL6ZIVXDOYV75KSFGL3FEFJWR \
  | 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: fcd7eca2b71bb15ff5522997b290a9b45679af555e6dc9b75377c4d4eba0a7d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2854d0d7996825de8e614b112f7f2474a231bf4c82ee2d662a16d5e70d806679",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-16T07:10:05Z",
    "title_canon_sha256": "cda56b5c9be2989944d60dbdf83e07237e72854106bdfa8b7dc56e1e1dd026f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17603",
    "kind": "arxiv",
    "version": 1
  }
}