Pith Number

pith:OBDA63IX

pith:2026:OBDA63IX265HPUHKN37PJBDQ7V

not attested not anchored not stored refs pending

Stability Annealing Selects the Implicit Bias of Smoothed Sign Descent: A Rate-Indexed Barrier Path on Separable Data

Chengwei Cao, Peilin Yu, Ran Bi, Xiangwu Wang, Yicheng Song

arxiv:2607.06013 v1 · 2026-07-07 · 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{OBDA63IX265HPUHKN37PJBDQ7V}

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	2026-07-08T01:18:53.965481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70460f6d17d7ba77d0ea6efef48470fd435b78c0080960f6877417fc683a4a72

Aliases

arxiv: 2607.06013 · arxiv_version: 2607.06013v1 · doi: 10.48550/arxiv.2607.06013 · pith_short_12: OBDA63IX265H · pith_short_16: OBDA63IX265HPUHK · pith_short_8: OBDA63IX

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/OBDA63IX265HPUHKN37PJBDQ7V \
  | 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: 70460f6d17d7ba77d0ea6efef48470fd435b78c0080960f6877417fc683a4a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b010ede7079e0ad0a1650467bd2a3720dcbb62aef7423180d375d2ee1ab3c312",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-07T08:55:35Z",
    "title_canon_sha256": "d981282fceed1d7434595e2545a42f903737fc0f4e56516b33c6841cbb2c5ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06013",
    "kind": "arxiv",
    "version": 1
  }
}