Pith Number

pith:72ILJAFP

pith:2024:72ILJAFPIYIR7TZ7Q2F2VFQ57S

not attested not anchored not stored refs pending

The Pivoting Framework: Frank-Wolfe Algorithms with Active Set Size Control

Elias Wirth, Mathieu Besan\c{c}on, Sebastian Pokutta

arxiv:2407.11760 v3 · 2024-07-16 · 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{72ILJAFPIYIR7TZ7Q2F2VFQ57S}

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	2026-07-05T11:48:45.697951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe90b480af46111fcf3f868baa961dfc802aab972d98e6b63a7054c145205d66

Aliases

arxiv: 2407.11760 · arxiv_version: 2407.11760v3 · doi: 10.48550/arxiv.2407.11760 · pith_short_12: 72ILJAFPIYIR · pith_short_16: 72ILJAFPIYIR7TZ7 · pith_short_8: 72ILJAFP

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/72ILJAFPIYIR7TZ7Q2F2VFQ57S \
  | 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: fe90b480af46111fcf3f868baa961dfc802aab972d98e6b63a7054c145205d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aca7e802471b616261628da069b6c1191811972be760ce92e4647056111182e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-07-16T14:20:33Z",
    "title_canon_sha256": "a9bbb6b3db7df2369edf5f5f73c916bea340da54cc1c61867a482d283809622b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.11760",
    "kind": "arxiv",
    "version": 3
  }
}