Pith Number

pith:25VSCTQW

pith:2025:25VSCTQWWFC2ZSZDJ3WYZJV4Z7

not attested not anchored not stored refs pending

Composite Optimization with Indicator Functions: Stationary Duality and a Semismooth Newton Method

Houduo Qi, Naihua Xiu, Penghe Zhang

arxiv:2506.08374 v1 · 2025-06-10 · 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{25VSCTQWWFC2ZSZDJ3WYZJV4Z7}

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	2026-07-05T11:18:48.657593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76b214e16b145accb234eed8ca6bccfd5f55f1f54a0cbb1aa82ef586ac56acf

Aliases

arxiv: 2506.08374 · arxiv_version: 2506.08374v1 · doi: 10.48550/arxiv.2506.08374 · pith_short_12: 25VSCTQWWFC2 · pith_short_16: 25VSCTQWWFC2ZSZD · pith_short_8: 25VSCTQW

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/25VSCTQWWFC2ZSZDJ3WYZJV4Z7 \
  | 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: d76b214e16b145accb234eed8ca6bccfd5f55f1f54a0cbb1aa82ef586ac56acf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7dff4120f150360547d6cdb4b3ea9bd68c41712b5e4048053865dad2adf55f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-10T02:39:37Z",
    "title_canon_sha256": "f0d8e7a1fd9a70d46a8a214b3426775b018d0d62e6b48c5bfeaec23892dfbdee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08374",
    "kind": "arxiv",
    "version": 1
  }
}