Pith Number

pith:A6V5PKWB

pith:2024:A6V5PKWBD4LEQEPLNLI7VPKZVM

not attested not anchored not stored refs pending

Finding quadratic underestimators for optimal value functions of nonconvex all-quadratic problems via copositive optimization

Immanuel Bomze, Markus Gabl

arxiv:2409.20355 v1 · 2024-09-30 · 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{A6V5PKWBD4LEQEPLNLI7VPKZVM}

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	2026-07-05T09:13:42.240347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07abd7aac11f164811eb6ad1fabd59ab3834f288760221ec4275328435b52766

Aliases

arxiv: 2409.20355 · arxiv_version: 2409.20355v1 · doi: 10.48550/arxiv.2409.20355 · pith_short_12: A6V5PKWBD4LE · pith_short_16: A6V5PKWBD4LEQEPL · pith_short_8: A6V5PKWB

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/A6V5PKWBD4LEQEPLNLI7VPKZVM \
  | 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: 07abd7aac11f164811eb6ad1fabd59ab3834f288760221ec4275328435b52766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afa77d6d555d471fcd59db2a3969ee09116ca31ffcea6d687928c2efd76e0cfb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-09-30T14:51:59Z",
    "title_canon_sha256": "fc163de1f4775258081f2134040ba6d7477407f280319cfa37939ed5490b1a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.20355",
    "kind": "arxiv",
    "version": 1
  }
}