Pith Number

pith:NTCX2ZTD

pith:2025:NTCX2ZTDWYHFJSXMUVXRCGN6G7

not attested not anchored not stored refs pending

Optimization over Sparse Support-Preserving Sets: Two-Step Projection with Global Optimality Guarantees

Bin Gu, William de Vazelhes, Xiao-Tong Yuan

arxiv:2506.08558 v2 · 2025-06-10 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTCX2ZTDWYHFJSXMUVXRCGN6G7}

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	2026-07-05T11:19:29.762568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cc57d6663b60e54caeca56f1119be37f5691d79a3d6ddb30d82e565f03a78ab

Aliases

arxiv: 2506.08558 · arxiv_version: 2506.08558v2 · doi: 10.48550/arxiv.2506.08558 · pith_short_12: NTCX2ZTDWYHF · pith_short_16: NTCX2ZTDWYHFJSXM · pith_short_8: NTCX2ZTD

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/NTCX2ZTDWYHFJSXMUVXRCGN6G7 \
  | 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: 6cc57d6663b60e54caeca56f1119be37f5691d79a3d6ddb30d82e565f03a78ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8345c352dd5a890c641babf7d4a8375110df1314f3cd581edd2149321613732",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-10T08:27:01Z",
    "title_canon_sha256": "d3dbdacb054d942ded5d52640cf9c693d76428e3fe47adeeaa0133e2b93daa27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08558",
    "kind": "arxiv",
    "version": 2
  }
}