Pith Number

pith:6EX5ARLC

pith:2021:6EX5ARLCWDJ7GBYGS6PU5BQTQR

not attested not anchored not stored refs pending

Amortized Implicit Differentiation for Stochastic Bilevel Optimization

Julien Mairal, Michael Arbel

arxiv:2111.14580 v3 · 2021-11-29 · math.OC · 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{6EX5ARLCWDJ7GBYGS6PU5BQTQR}

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.

Cited by

3 papers in Pith

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

BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization

Receipt and verification

First computed	2026-07-05T04:38:46.170555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f12fd04562b0d3f30706979f4e8613845cbafbc033d72f79af0193e46a4e6007

Aliases

arxiv: 2111.14580 · arxiv_version: 2111.14580v3 · doi: 10.48550/arxiv.2111.14580 · pith_short_12: 6EX5ARLCWDJ7 · pith_short_16: 6EX5ARLCWDJ7GBYG · pith_short_8: 6EX5ARLC

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/6EX5ARLCWDJ7GBYGS6PU5BQTQR \
  | 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: f12fd04562b0d3f30706979f4e8613845cbafbc033d72f79af0193e46a4e6007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3048965369660731d7f247944eeb77f75d6f27f6f010b767951da9982a4400a",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-11-29T15:10:09Z",
    "title_canon_sha256": "3cd87ada1d8742ef51cbac9e78b53fe16395fb3c514aa60fd86094f0b7743900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.14580",
    "kind": "arxiv",
    "version": 3
  }
}