Pith Number

pith:PEPT7BW5

pith:2026:PEPT7BW5DZY5NGKERHVW77UG55

not attested not anchored not stored refs pending

Teacher Supervision over Representation Equivalence Classes

Sang Il Han

arxiv:2607.03572 v1 · 2026-07-03 · 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{PEPT7BW5DZY5NGKERHVW77UG55}

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	2026-07-07T02:17:55.318046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

791f3f86dd1e71d6994489eb6ffe86ef575d6cd8cd294430f1e6e05ffbb6a72f

Aliases

arxiv: 2607.03572 · arxiv_version: 2607.03572v1 · doi: 10.48550/arxiv.2607.03572 · pith_short_12: PEPT7BW5DZY5 · pith_short_16: PEPT7BW5DZY5NGKE · pith_short_8: PEPT7BW5

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/PEPT7BW5DZY5NGKERHVW77UG55 \
  | 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: 791f3f86dd1e71d6994489eb6ffe86ef575d6cd8cd294430f1e6e05ffbb6a72f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7de045e9af0185ab7a5f24dfa3cfc106e94d0e3a79e50486a3bfb73d9f06a13a",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-03T19:26:38Z",
    "title_canon_sha256": "30e2577f9de3ae589e7cba5a1d39042bdee45eafe030a846f39161af48692b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03572",
    "kind": "arxiv",
    "version": 1
  }
}