Pith Number

pith:7D6RLREG

pith:2025:7D6RLREGHVDXQEWD6BN4YJXGKD

not attested not anchored not stored refs pending

A Mathematical Perspective On Contrastive Learning

Andrew M. Stuart, Ricardo Baptista, Son Tran

arxiv:2505.24134 v1 · 2025-05-30 · stat.ML · cs.CV · 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{7D6RLREGHVDXQEWD6BN4YJXGKD}

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	2026-07-05T11:12:42.580756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8fd15c4863d477812c3f05bcc26e650fd6e567b7a5145fc32640ff162af5d09

Aliases

arxiv: 2505.24134 · arxiv_version: 2505.24134v1 · doi: 10.48550/arxiv.2505.24134 · pith_short_12: 7D6RLREGHVDX · pith_short_16: 7D6RLREGHVDXQEWD · pith_short_8: 7D6RLREG

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/7D6RLREGHVDXQEWD6BN4YJXGKD \
  | 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: f8fd15c4863d477812c3f05bcc26e650fd6e567b7a5145fc32640ff162af5d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f26c6f14268075a9851ab3a1f05a04afb673686b25eac8d1587a1d161089fc",
    "cross_cats_sorted": [
      "cs.CV",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-05-30T02:09:37Z",
    "title_canon_sha256": "770a789b91147061c23e16a0c6d09f2ba92497f771d262d5e1ede6a885c501bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24134",
    "kind": "arxiv",
    "version": 1
  }
}