Pith Number

pith:UNJTH74C

pith:2022:UNJTH74CUB2JANDUQZ5PAM5L3Q

not attested not anchored not stored refs pending

Analyzing Sharpness along GD Trajectory: Progressive Sharpening and Edge of Stability

Jian Li, Zhouzi Li, Zixuan Wang

arxiv:2207.12678 v2 · 2022-07-26 · cs.LG

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\usepackage{pith}
\pithnumber{UNJTH74CUB2JANDUQZ5PAM5L3Q}

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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.

Cited by

1 paper in Pith

Criteria and Bias of Parameterized Linear Regression under Edge of Stability Regime

Receipt and verification

First computed	2026-07-05T05:12:52.378170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a35333ff82a074903474867af033abdc29f21371a0bb112a1173e01669973739

Aliases

arxiv: 2207.12678 · arxiv_version: 2207.12678v2 · doi: 10.48550/arxiv.2207.12678 · pith_short_12: UNJTH74CUB2J · pith_short_16: UNJTH74CUB2JANDU · pith_short_8: UNJTH74C

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/UNJTH74CUB2JANDUQZ5PAM5L3Q \
  | 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: a35333ff82a074903474867af033abdc29f21371a0bb112a1173e01669973739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90dd1408a89ee745555295468becfe836040348c9ab6e11674003f9c1da15b20",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-07-26T06:37:58Z",
    "title_canon_sha256": "e55250b0858e09f0572f6a4520cd307e3dbf6ad3fbff683af1edf3cd0b660d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.12678",
    "kind": "arxiv",
    "version": 2
  }
}