Pith Number

pith:CSGKCNKS

pith:2026:CSGKCNKSA6CGBFYWAWJALEBNFM

not attested not anchored not stored refs pending

Optimization Dynamics Imprint Semantic Specificity in Contrastive Embedding Norms

Junyu Ren, Victor Veitch, Ziwei Su

arxiv:2606.30625 v1 · 2026-06-29 · stat.ML · cs.AI · cs.LG · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSGKCNKSA6CGBFYWAWJALEBNFM}

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	2026-06-30T02:18:23.282761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

148ca135520784609716059205902d2b38234d859fe57e736edcac81f285e62b

Aliases

arxiv: 2606.30625 · arxiv_version: 2606.30625v1 · doi: 10.48550/arxiv.2606.30625 · pith_short_12: CSGKCNKSA6CG · pith_short_16: CSGKCNKSA6CGBFYW · pith_short_8: CSGKCNKS

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/CSGKCNKSA6CGBFYWAWJALEBNFM \
  | 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: 148ca135520784609716059205902d2b38234d859fe57e736edcac81f285e62b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9b270bd0d76986b7df528f85153f2da6b3e3e33a54cff024b6ff6c7445a0d9",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-29T17:55:40Z",
    "title_canon_sha256": "0b3ca1a24bfd9d4a2da950f0e2952dcfa18308dbb6879d9ef05cf8c8caa0cee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30625",
    "kind": "arxiv",
    "version": 1
  }
}