Pith Number

pith:AHWBJZBC

pith:2020:AHWBJZBC5LHMYUVSLOY3QCOQ6G

not attested not anchored not stored refs pending

Spectral Frank-Wolfe Algorithm: Strict Complementarity and Linear Convergence

Chengrun Yang, Lijun Ding, Qiantong Xu, Yingjie Fei

arxiv:2006.01719 v4 · 2020-06-02 · 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{AHWBJZBC5LHMYUVSLOY3QCOQ6G}

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	2026-07-05T01:27:24.112499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01ec14e422eacecc52b25bb1b809d0f190bfb401bb89a741317f9758651c50f1

Aliases

arxiv: 2006.01719 · arxiv_version: 2006.01719v4 · doi: 10.48550/arxiv.2006.01719 · pith_short_12: AHWBJZBC5LHM · pith_short_16: AHWBJZBC5LHMYUVS · pith_short_8: AHWBJZBC

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/AHWBJZBC5LHMYUVSLOY3QCOQ6G \
  | 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: 01ec14e422eacecc52b25bb1b809d0f190bfb401bb89a741317f9758651c50f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7cc8aa956aa02d354f33b11b5afad29523b7f0f5d019af0ca54bf5a473d485",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-06-02T15:45:21Z",
    "title_canon_sha256": "9a475a01d701941e8df85a120c9449616ff973359932014dd0271b3162575e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.01719",
    "kind": "arxiv",
    "version": 4
  }
}