Pith Number

pith:5EJIGYRR

pith:2019:5EJIGYRRSVNBB7G3ARET5FBXFF

not attested not anchored not stored refs pending

Revisiting the Approximate Carath\'eodory Problem via the Frank-Wolfe Algorithm

Cyrille W. Combettes, Sebastian Pokutta

arxiv:1911.04415 v5 · 2019-11-11 · math.OC · cs.DS · 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{5EJIGYRRSVNBB7G3ARET5FBXFF}

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	2026-07-05T03:37:37.378125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e912836231955a10fcdb04493e94372979334a6d2cbcd296ac531e973f5acf57

Aliases

arxiv: 1911.04415 · arxiv_version: 1911.04415v5 · doi: 10.48550/arxiv.1911.04415 · pith_short_12: 5EJIGYRRSVNB · pith_short_16: 5EJIGYRRSVNBB7G3 · pith_short_8: 5EJIGYRR

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/5EJIGYRRSVNBB7G3ARET5FBXFF \
  | 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: e912836231955a10fcdb04493e94372979334a6d2cbcd296ac531e973f5acf57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90835e6373f64bfa7becdca23c0086401090c010d52683ca4a208b810d409b95",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-11-11T17:41:58Z",
    "title_canon_sha256": "bb59014c060ebfbf005392df6033d4421047af21dd4907a25117e001324c0341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.04415",
    "kind": "arxiv",
    "version": 5
  }
}