Pith Number

pith:R5XJFEPT

pith:2026:R5XJFEPT5LVN3EH3J5YBM4ALOG

not attested not anchored not stored refs pending

Single-loop approaches to nonsmooth bilevel optimisation

Ensio Suonper\"a, Tuomo Valkonen

arxiv:2606.19143 v1 · 2026-06-17 · 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{R5XJFEPT5LVN3EH3J5YBM4ALOG}

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	2026-06-19T16:11:57.692574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f6e9291f3eaeadd90fb4f7016700b71b22282881915a42956230bdc00b36668

Aliases

arxiv: 2606.19143 · arxiv_version: 2606.19143v1 · doi: 10.48550/arxiv.2606.19143 · pith_short_12: R5XJFEPT5LVN · pith_short_16: R5XJFEPT5LVN3EH3 · pith_short_8: R5XJFEPT

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/R5XJFEPT5LVN3EH3J5YBM4ALOG \
  | 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: 8f6e9291f3eaeadd90fb4f7016700b71b22282881915a42956230bdc00b36668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9b7ee2ab4739d9de63aa412016844634970192a229f9219ffc944f992fb3fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-17T14:47:53Z",
    "title_canon_sha256": "3a66d7452ca66e40146921568f0eebe18aae9f16e58066086a07789bd455e5e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19143",
    "kind": "arxiv",
    "version": 1
  }
}