Pith Number

pith:GCNJVQZC

pith:2026:GCNJVQZCK7PNUHIJV6P324PUPN

not attested not anchored not stored refs pending

Escaping the Variance Trap: Jacobian-Free Dynamics for Root-Finding Bilevel Optimization

Davide Carbone, Xi Xuan, Zhiyu Li

arxiv:2606.22433 v1 · 2026-06-21 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCNJVQZCK7PNUHIJV6P324PUPN}

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	2026-06-23T02:13:38.336299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309a9ac32257deda1d09af9fbd71f47b7ddda49f6c79fb92bd428ff9ba9c2ece

Aliases

arxiv: 2606.22433 · arxiv_version: 2606.22433v1 · doi: 10.48550/arxiv.2606.22433 · pith_short_12: GCNJVQZCK7PN · pith_short_16: GCNJVQZCK7PNUHIJ · pith_short_8: GCNJVQZC

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/GCNJVQZCK7PNUHIJV6P324PUPN \
  | 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: 309a9ac32257deda1d09af9fbd71f47b7ddda49f6c79fb92bd428ff9ba9c2ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94674f5a7a3ff9251e07b5bd928e4e754712c4c9b9a5a494c56c059cde0301ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-21T10:53:32Z",
    "title_canon_sha256": "cca93da6a3ec248ecdefe3e4b72e9468f4334c63c5b05487452a7e0210605ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22433",
    "kind": "arxiv",
    "version": 1
  }
}