Pith Number

pith:G3JGR73U

pith:2026:G3JGR73UPQBJBX3W2VUTGFNTB3

not attested not anchored not stored refs pending

Sketched Linear Contrastive Learning: Approximation, Optimization, and Statistical Scaling

Ding-Xuan Zhou, Zhongzhu Zhou, Ziyan Chen

arxiv:2606.26617 v1 · 2026-06-25 · 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{G3JGR73UPQBJBX3W2VUTGFNTB3}

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	2026-06-26T01:15:36.355815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36d268ff747c0290df76d5693315b30ef4e943fbb01f486c9f9f799011985c92

Aliases

arxiv: 2606.26617 · arxiv_version: 2606.26617v1 · doi: 10.48550/arxiv.2606.26617 · pith_short_12: G3JGR73UPQBJ · pith_short_16: G3JGR73UPQBJBX3W · pith_short_8: G3JGR73U

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/G3JGR73UPQBJBX3W2VUTGFNTB3 \
  | 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: 36d268ff747c0290df76d5693315b30ef4e943fbb01f486c9f9f799011985c92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e1a86507304a1d8355b31e8094ffdfe5bce9b496d491ce5625098784aabb22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-25T05:20:21Z",
    "title_canon_sha256": "fc6a7917341bb4efd3a05af1b26d6fe37dd0d8c233aea197ec26e2666edb0823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26617",
    "kind": "arxiv",
    "version": 1
  }
}