Pith Number

pith:BHSZSRL6

pith:2023:BHSZSRL6KIEAOXWSH2WY6CJAEF

not attested not anchored not stored refs pending

From Stability to Chaos: Analyzing Gradient Descent Dynamics in Quadratic Regression

Bhavya Agrawalla, Krishnakumar Balasubramanian, Promit Ghosal, Xuxing Chen

arxiv:2310.01687 v1 · 2023-10-02 · cs.LG · math.DS · math.OC · math.PR · 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{BHSZSRL6KIEAOXWSH2WY6CJAEF}

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	2026-07-05T06:56:44.825409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09e599457e5208075ed23ead8f092021744b6bbfe6c3011d9a910f797d879ad7

Aliases

arxiv: 2310.01687 · arxiv_version: 2310.01687v1 · doi: 10.48550/arxiv.2310.01687 · pith_short_12: BHSZSRL6KIEA · pith_short_16: BHSZSRL6KIEAOXWS · pith_short_8: BHSZSRL6

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/BHSZSRL6KIEAOXWSH2WY6CJAEF \
  | 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: 09e599457e5208075ed23ead8f092021744b6bbfe6c3011d9a910f797d879ad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d774b5ca31abdc627be8c0c2b3197936a16e6b92a7b7a649302790c5747c3080",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC",
      "math.PR",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-02T22:59:17Z",
    "title_canon_sha256": "3f0e8fd8e89711c92567fd530c0e621e67b18864fa0f89951623f1d76b92949d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.01687",
    "kind": "arxiv",
    "version": 1
  }
}