Pith Number

pith:CAXIZ7G3

pith:2026:CAXIZ7G3SP5UM2MBUZIPNCW5QR

not attested not anchored not stored refs pending

Edge of Stability Selectively Shapes Learning Across the Data Distribution

Anakha Ganesh, Pierfrancesco Beneventano, Shauna Kwag, Tomaso Poggio

arxiv:2606.04212 v1 · 2026-06-02 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAXIZ7G3SP5UM2MBUZIPNCW5QR}

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	2026-06-04T01:08:58.817734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102e8cfcdb93fb466981a650f68add84651ae6ee95ecbb4619a38a3582fab2d0

Aliases

arxiv: 2606.04212 · arxiv_version: 2606.04212v1 · doi: 10.48550/arxiv.2606.04212 · pith_short_12: CAXIZ7G3SP5U · pith_short_16: CAXIZ7G3SP5UM2MB · pith_short_8: CAXIZ7G3

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/CAXIZ7G3SP5UM2MBUZIPNCW5QR \
  | 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: 102e8cfcdb93fb466981a650f68add84651ae6ee95ecbb4619a38a3582fab2d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e8db6f884208d4ce7cfb21e40822212f157352b606f52a6c7ac8ee38beefb2f",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-02T20:58:40Z",
    "title_canon_sha256": "99a4540a3482c22473c18b2793c7c176bfbb6b6c1318694db2cc07d07a092dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04212",
    "kind": "arxiv",
    "version": 1
  }
}