Pith Number

pith:7KPNDJ4Y

pith:2024:7KPNDJ4YWEV7VZYAGXCIKSTO2X

not attested not anchored not stored refs pending

Fast convergence of Frank-Wolfe algorithms on polytopes

Elias Wirth, Javier Pena, Sebastian Pokutta

arxiv:2406.18789 v4 · 2024-06-26 · 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{7KPNDJ4YWEV7VZYAGXCIKSTO2X}

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	2026-07-05T11:06:08.309376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9ed1a798b12bfae70035c4854a6ed5cf637a7118389fdc64e0b38071c25528

Aliases

arxiv: 2406.18789 · arxiv_version: 2406.18789v4 · doi: 10.48550/arxiv.2406.18789 · pith_short_12: 7KPNDJ4YWEV7 · pith_short_16: 7KPNDJ4YWEV7VZYA · pith_short_8: 7KPNDJ4Y

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/7KPNDJ4YWEV7VZYAGXCIKSTO2X \
  | 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: fa9ed1a798b12bfae70035c4854a6ed5cf637a7118389fdc64e0b38071c25528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f6d60d5acb7f7197f3d08d19aa550bdf0ecec94f7e120771a98d72881f1d3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-06-26T23:17:33Z",
    "title_canon_sha256": "156cadb1af862d33607d924b703ce20218280c58c5462cb369552abda950adee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.18789",
    "kind": "arxiv",
    "version": 4
  }
}