Pith Number

pith:JO4DLASD

pith:2009:JO4DLASD3U2JHVCKHMV5VQMA2Y

not attested not anchored not stored refs pending

Nonconvex minimization related to quadratic double-well energy - approximation by convex problems

Computer Science, Cz\k{e}stochowa, Faculty of Mathematics, Faculty of Mechanical Engineering, Institute of Mathematics, Natural Sciences. College of Sciences, Poland), Poland) Piotr Pucha{\l}a (Technical University of Cz\k{e}stochowa, Warsaw, Zdzis{\l}aw Naniewicz (Cardinal Stefan Wyszy\'nski University

arxiv:0907.1120 v2 · 2009-07-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JO4DLASD3U2JHVCKHMV5VQMA2Y}

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	2026-05-18T01:09:24.227732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb8358243dd3493d44a3b2bdac180d610696e840eae5a244754d2cf038a1d58

Aliases

arxiv: 0907.1120 · arxiv_version: 0907.1120v2 · doi: 10.48550/arxiv.0907.1120 · pith_short_12: JO4DLASD3U2J · pith_short_16: JO4DLASD3U2JHVCK · pith_short_8: JO4DLASD

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/JO4DLASD3U2JHVCKHMV5VQMA2Y \
  | 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: 4bb8358243dd3493d44a3b2bdac180d610696e840eae5a244754d2cf038a1d58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fa019db43d32f8283ce0826c760166b42585dd512bb5002e36daef33f06405e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-07-06T22:49:19Z",
    "title_canon_sha256": "732e9ed9aca696acc0765e785e7bd007d81fdb1ad9816f0f127a1a055831dac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1120",
    "kind": "arxiv",
    "version": 2
  }
}