Pith Number

pith:AAAISQVL

pith:2026:AAAISQVLCDE3KIQ7GD2G2UXWGU

not attested not anchored not stored refs pending

New Bounds for Exact Penalized Cardinality-Constrained Optimization with Pseudonormality Conditions

Huilin Xie, Jiyuan Tao, Lili Pan, Xianchao Xiu

arxiv:2605.16687 v1 · 2026-05-15 · 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{AAAISQVLCDE3KIQ7GD2G2UXWGU}

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	2026-05-20T00:02:36.643506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00008942ab10c9b5221f30f46d52f6353fb2a52c4d7492ae4c4c0e076e00b549

Aliases

arxiv: 2605.16687 · arxiv_version: 2605.16687v1 · doi: 10.48550/arxiv.2605.16687 · pith_short_12: AAAISQVLCDE3 · pith_short_16: AAAISQVLCDE3KIQ7 · pith_short_8: AAAISQVL

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/AAAISQVLCDE3KIQ7GD2G2UXWGU \
  | 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: 00008942ab10c9b5221f30f46d52f6353fb2a52c4d7492ae4c4c0e076e00b549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38f7ce446359ad9bd35457b18bf8310086bf345540b0b5470f9ee2be569a19c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-15T22:47:43Z",
    "title_canon_sha256": "6561aa24ba7242c53991a20b2c5512450f767881eaf858ca46e32c617c407012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16687",
    "kind": "arxiv",
    "version": 1
  }
}