Pith Number

pith:YZWK47PB

pith:2016:YZWK47PBU6QIV5YG656DPNJP4Q

not attested not anchored not stored refs pending

Techniques for Gradient Based Bilevel Optimization with Nonsmooth Lower Level Problems

Peter Ochs, Ren\'e Ranftl, Thomas Brox, Thomas Pock

arxiv:1602.07080 v2 · 2016-02-23 · 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{YZWK47PBU6QIV5YG656DPNJP4Q}

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	2026-05-18T01:16:13.940877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c66cae7de1a7a08af706f77c37b52fe4389be5836cfd748390fe605fe4b5de27

Aliases

arxiv: 1602.07080 · arxiv_version: 1602.07080v2 · doi: 10.48550/arxiv.1602.07080 · pith_short_12: YZWK47PBU6QI · pith_short_16: YZWK47PBU6QIV5YG · pith_short_8: YZWK47PB

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/YZWK47PBU6QIV5YG656DPNJP4Q \
  | 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: c66cae7de1a7a08af706f77c37b52fe4389be5836cfd748390fe605fe4b5de27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "858e2682bddf4deca3dad4e258a8dabc9daee76b46b6b4a10dfd766b48fe624e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-02-23T08:20:18Z",
    "title_canon_sha256": "dc153a61d8d670653402d5ca412529b4598dd9f156ac5403d9e5e754c0ee3baf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07080",
    "kind": "arxiv",
    "version": 2
  }
}