Pith Number

pith:KBVG7CJ7

pith:2006:KBVG7CJ7OAZG5H4PKB4QMI4MRX

not attested not anchored not stored refs pending

A regularization method for ill-posed bilevel optimization problems

Ma\"itine Bergounioux (MAPMO), Mounir Haddou (MAPMO)

arxiv:math/0603741 v1 · 2006-03-31 · 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{KBVG7CJ7OAZG5H4PKB4QMI4MRX}

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	2026-05-18T01:08:50.391207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506a6f893f70326e9f8f507906238c8def87c8c3a532fcef6f097fe23a445ca4

Aliases

arxiv: math/0603741 · arxiv_version: math/0603741v1 · doi: 10.48550/arxiv.math/0603741 · pith_short_12: KBVG7CJ7OAZG · pith_short_16: KBVG7CJ7OAZG5H4P · pith_short_8: KBVG7CJ7

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/KBVG7CJ7OAZG5H4PKB4QMI4MRX \
  | 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: 506a6f893f70326e9f8f507906238c8def87c8c3a532fcef6f097fe23a445ca4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de1b3aa74de9ecbc7afe83d3db3fcf251fd0a1d68248ddd5ce8e6916070c70d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2006-03-31T11:37:37Z",
    "title_canon_sha256": "5954fa5ca3953b86924b2c903df93ac1c99c16ddfc5db73a2ebda5882ace0696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603741",
    "kind": "arxiv",
    "version": 1
  }
}